Papers

This isn't right. This isn't even wrong - Wolfgang Pauli, on a paper submitted by a physicist colleague.

The following is a listing of some of the papers that the group has been involved in over the years. As you can see, the list is fairly extensive, so you can perform a search for specific papers (many have abstracts). Some of the papers probably belong to two or more of the broad categories that I have defined below, but I have decided to place each paper under one category only. Of course, I am only human and since I haven't had a chance to skim through all the papers, some of them are probably placed in the wrong category. If you find such an error, please notify me at lpoon@chaos.umd.edu.

Paper Search

Instructions and examples on how to search.

Note:The search now supports boolean expressions. In fact, this is now the default. If you want to search using regular expressions, you need to turn it on with the above option.

Note: the search routine used is htgrep courtesy of Oscar Nierstrasz from Software Composition Group.

• Applications
• Bifurcations
• Chaotic Scattering
• Control and Targeting
• Crises
• Dimensions
• Embeddings
• Fast Magnetic Dynamos
• Fractal Basin Boundaries
• Fractals in Fluids
• General Chaos
• Invariant Measures
• Numerical Techniques
• Pattern Formation
• Quantum Chaos
• Riddled Basins
• Shadowing
• Synchronization

• C. Robert, J.M. Carlson, and John Doyle, "Highly Optimized Tolerance in Epidemic Models Incorporating Local Optimization and Regrowth", Submitted (2000) Abstract.
• B. Peratt and J. A. Yorke, "Modeling Continuous Mixing of Granular Solids in a Rotating Drum", Phys. D 118, 293 (1998) - Abstract.
• G.-H. Yuan, S. Banerjee, E. Ott and J. A. Yorke, "Border-Collision Bifurcations in the Buck Converter",IEEE Trans. Circuits and Sys. - I:Fund. The. and Appl. 45, 707 (1998) - Abstract.
• J. Jacobs, E. Ott, T. Antonsen and J.A. Yorke, "Modeling Fractal Entrainment Sets of Tracers Advected by Chaotic Temporally Irregular Fluid Flows Using Random Maps", Phys. D 110, 1 (1997) - Abstract.
• M. Sanjuan, J.Kennedy, E. Ott and J.A. Yorke, "Indecomposable Continua and the Characterization of Strage Sets in Nonlinear Dynamics", Phys. Rev. Lett. 78, 1892 (1997) - Abstract.
• J.Kennedy and J.A. Yorke, "The Topology of Stirred Fluids", Topology & It's Applications 80, 201 (1997) - Abstract.
• M. Sanjuan, J. Kennedy, C. Grebogi and J.A. Yorke, "Indecomposable Continua in Dynamical Systems with Noise: Fluid Flow past an Array of Cylinders", Intl. J. Bifurcation and Chaos 7, 125 (1997) - Abstract.
• G.-H. Yuan, B. R. Hunt, C. Grebogi, E. Kostelich, E. Ott and J. A. Yorke, "Design and control of shipboard cranes", Proc. of the 16th ASME Biennial Conference on Mechanical Vibration and Noise, September 1997, Sacramento, CA.
• J. Levine, P. Rouchon, G. Yuan, C. Grebogi, B. R. Hunt, E. Kostelich, E. Ott and J. A. Yorke, "On the control of US Navy cranes", Proceedings of the European Control Conf. (ECC 97), July 1997.
• E. D. Yorke and J. A. Yorke, "Chaotic behavior and fluid dynamics, in Hydrodynamic Instabilities and the Transition to Turbulence", H. L. Swinney and J. P. Gollub, eds., Topics in Applied Physics 45 Springer-Verlag (1981), 77-95.
• J. Mallet-Paret and J. A. Yorke, "Two types of Hopf bifurcation points: Sources and sinks of families of periodic orbits", Nonlinear dynamics, Annals of N.Y. Academy of Sci. 357, 300-304: The proceedings of a meeting in Manhattan in December 1979.
• J. L. Kaplan and J. A. Yorke, "The onset of chaos in a fluid flow model of Lorenz", Bifurcation Theory and Applications in Scientific Disciplines, Annals of N.Y. Academy of Sci. 316, 400-407: The proceedings of a New York Academy of Science meeting, New York City, November 1977.

Bifurcations

• A. Zimin, B. R. Hunt, and E. Ott, "Bifurcation Scenarios for the Bubbling Transition", Phys. Rev. E 67, 016204 (2003).
• B. Hunt, J. Gallas, C. Grebogi, J.A. Yorke and H. Kocak, "Bifurcation Rigidity",Phys. D 129, 35 (1999) - Abstract.
• S. Banerjee, J.A. Yorke and C. Grebogi, "Robust Chaos", Phys. Rev. Lett. 80, 3049 (1998) - Abstract.
• E. Barreto, B. Hunt, C. Grebogi and J.A. Yorke, "From High Dimension Chaos to Stable Periodic Orbits: The Structure of Parameter Space", Phys. Rev. Lett. 78, 4561 (1997) - Abstract.
• I. Kan, H. Kocak, and J.A. Yorke "Persistent homoclinic tangencies in the Henon family", Physica D 83, 313 (1995) - Abstract.
• H.E. Nusse and J.A. Yorke "Border-Collision Bifurcations for Piecewise Smooth One-Dimensional Maps", Int. J. Bifurcation and Chaos 5, 189 (1995) - Abstract.
• H.E. Nusse and J.A. Yorke, "Border Collision Bifurcations including 'period two to period three' Bifurcation for Piecewise Smooth Systems", Physica D 57, 39 (1992) - Abstract.
• I. Kan and J. A. Yorke, "Antimonotonicity: Concurrent Creation and Annihilation of Periodic Orbits", Bull. Amer. Math. Soc. 23, 469 (1990).
• P. Battelino, C. Grebogi, E. Ott, and J.A. Yorke, "Chaotic Attractors on a 3-torus and Torus Break-up", Physica D 39, 299 (1989)- Abstract.
• H.E. Nusse and J.A. Yorke, "Period halving for xn+1 = mF(xn) where F has negative Schwarzian derivative", Phys. Lett. 127, 328 (1988) - Abstract.
• K.T. Alligood and J.A. Yorke, "Why Period-Doubling Cascades Occur: Periodic Orbit Creation Followed by Stability Shedding", Physica D 28, 197 (1987) - Abstract.
• K.T. Alligood and J.A. Yorke, "Hopf Bifurcation: The Appearance of Virtual Periods in Cases of Resonance", J. Differential Equations 64, 375 (1986).
• L. Tedeshini-Lalli and J.A. Yorke, "How often do Simple Dynamical Processes Have Infinitely Many Coexisting Sinks?", Comm. Math. Phys. 106, 635 (1986) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Super-Persistent Chaotic Transients", Ergodic Theor. and Dyn. Sys. 5, 341 (1985)- Abstract.
• J.A. Yorke and K.T. Alligood, "Period Doubling Cascades of Attractors: A Prerequisite for Horseshoes", Comm. Math. Phys. 101, 305 (1985) - Abstract.
• K.T. Alligood and J.A. Yorke, "Families of Periodic Orbits: Virtual Periods and Global Continuability", J. Differential Equations 55, 59 (1984) - Abstract.
• J. Mallet-Paret and J.A. Yorke, "Snakes: Oriented Families of Periodic Orbits, Their Sources, Sinks, and Continuation", J. Differential Equations 43, 419 (1982) - Abstract.
• J.C. Alexander and J.A. Yorke, "Global bifurcation of periodic orbits", Amer. J. Math. 100, 263 (1978).
• S.N. Chow, J. Mallet-Paret and J.A. Yorke, "Global Hopf Bifurcation from a Multiple Eigenvalue", Nonlinear Anal. 2, 753 (1978).
• J. Curry and J. A. Yorke, "A transition from Hopf bifurcation to chaos: Computer experiments with maps in R^2, in The Structure of Attractors in Dynamical Systems",Springer Lecture Notes in Math #668, 48-66: The proceedings of the NSF regional conference in Fargo, ND, June 1977.
• J. Curry and J. A. Yorke, "A transition from Hopf bifurcation to chaos: Computer experiments with maps in R^2, in The Structure of Attractors in Dynamical Systems", Springer Lecture Notes in Math #668, 48-66: The proceedings of the NSF regional conference in Fargo, ND, June 1977.

Chaotic Scattering

• Y.C. Lai, C. Grebogi, R. Blumel, and I. Kan, "Crisis in Chaotic Scattering", Phys. Rev. Lett. 71, 2212 (1993) - Abstract.
• T. Tel, C. Grebogi, and E. Ott, "Conditions for the Abrupt Bifurcation to Chaotic Scattering", Chaos 3, 495 (1993).
• E. Ott and T. Tel, "Chaotic Scattering: An Introduction", Chaos 3, 417 (1993) - Abstract.
• Y.C. Lai, R. Blumel, E. Ott and C. Grebogi, "Quantum Manifestations of Chaotic Scattering", Phys. Rev. Lett. 68, 3491 (1992) - Abstract.
• Y.T. Lau, J.M. Finn, and E. Ott, "The Fractal Dimension in Nonhyperbolic Chaotic Scattering", Phys. Rev. Lett. 66, 978 (1991) - Abstract.
• M. Ding, C. Grebogi, E. Ott, and J.A. Yorke "Massive Bifurcation of Chaotic Scattering", Phys. Lett. A 153, 21 (1991) - Abstract.
• Q. Chen, M. Ding, and E. Ott, "Chaotic Scattering in Several Dimensions", Phys. Lett. A 115, 93 (1990).
• M. Ding, C. Grebogi, E. Ott, and J.A. Yorke, "Transition to Chaotic Scattering", Phys. Rev. A 42, 7025 (1990) - Abstract.
• S. Bleher, C. Grebogi, and E. Ott, "Bifurcation to Chaotic Scattering", Physica D 46, 87 (1990).
• S. Bleher, E. Ott, and C. Grebogi, "Routes to Chaotic Scattering", Phys. Rev. Lett. 63, 919 (1989)
• . N. Chow , J. Mallet-Paret and J. A. Yorke, "A bifurcation invariant: Degenerate orbits treated as clusters of simple orbits, in Geometric Dynamics", Springer Lecture Notes in Mathematics #1007 (1983), 109-131: The proceedings of a dynamics meeting at IMPA in Rio de Janeiro, August 1981.

Control and Targeting

• Edward Ott (2006) Controlling chaos. Scholarpedia,1(8):1699
• J.A. Yorke and C. Robert, "Controlling Chaos", in Order and Non-Order, pp. 13-30 (World Scientific, 1998) - Abstract.
• D. Auerbach and J.A. Yorke, "Controlling Chaotic Fluctuations in Semiconductor Laser Arrays", J. Optical Soc. Amer. 13, 2178 (1996) - Abstract.
• E. Barreto and C. Grebogi, "Multiparameter control of chaos", Phys. Rev. E 52, 3553 (1995) - Abstract.
• E. Barreto, E.J. Kostelich, C. Grebogi, E. Ott, and J.A. Yorke, "Efficient Switching Between Controlled Unstable Periodic Orbits in Higher Dimensional Chaotic Systems", Phys. Rev. E 51, 4169 (1995) - Abstract.
• P. So, and E. Ott, "Controlling Chaos using Time Delay Coordinates via Stabilization of Periodic Orbits", Phys. Rev. E 51, 2955 (1995) - Abstract.
• W. Yang, M. Ding, A.J. Mandell, and E. Ott, "Preserving chaos: Control strategies to preserve complex dynamics with potential relevance to biological disorders", Phys. Rev. E 51, 102 (1995) - Abstract and Paper.
• M. Ding, E. Ott, and C. Grebogi, "Controlling Chaos in a Temporally Irregular Environment", Physica D 74, 386 (1994) - Abstract.
• Y.C. Lai and C. Grebogi, "Synchronization of Spatiotemporal Chaotic Systems by Feedback Control", Phys. Rev. E 50, 1894 (1994) - Abstract.
• Y.C. Lai and C. Grebogi, "Converting Transient Chaos into Sustained Chaos by Feedback Control", Phys. Rev. E 49, 1094 (1994) - Abstract.
• T. Shinbrot, C. Grebogi, E. Ott and J.A. Yorke, "Using Small Perturbations to Control Chaos", Nature 363, 411 (1993) - Abstract.
• Y.C. Lai, T. Tel and C. Grebogi, "Stabilizing Chaotic-Scattering Trajectories using Control", Phys. Rev. E 48, 709 (1993) - Abstract.
• Y.C. Lai and C. Grebogi, "Synchronization of Chaotic Trajectories using Control", Phys. Rev. E 47, 2357 (1993) - Abstract.
• E.J. Kostelich, and C. Grebogi, E. Ott, and J.A. Yorke, "Higher Dimensional Targeting", Phys. Rev. E 47, 305 (1993) - Abstract.
• Y.C. Lai, M. Ding and C. Grebogi, "Controlling Hamiltonian Chaos", Phys. Rev. E 47, 86 (1993) - Abstract.
• D. Auerbach, C. Grebogi, E. Ott, and J.A. Yorke, "Controlling Chaos in High Dimensional Systems", Phys. Rev. Lett. 69, 3479 (1992) - Abstract.
• T. Shinbrot, W. Ditto, C. Grebogi, E. Ott, M.L. Spano, and J.A. Yorke, "Using the Sensitive Dependence of Chaos to Direct Orbits to Targets in an Experimental Chaotic Systems", Phys. Rev. Lett. 68, 2863 (1992) - Abstract.
• T. Shinbrot, E. Ott, C. Grebogi, and J.A. Yorke, "Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map", Phys. Rev. A 45, 4165 (1992) - Abstract.
• T. Shinbrot, E. Ott, C. Grebogi, and J.A. Yorke, "Using Chaos to Target Stationary States of Flow", Phys. Lett. A 169, 349 (1992) - Abstract.
• F.J. Romeiras, C. Grebogi, E. Ott, and W.P. Dayawansa, "Controlling Chaotic Dynamical Systems", Physica D 58, 165 (1992) - Abstract.
• T. Shinbrot, E. Ott, C. Grebogi, and J.A. Yorke, "Using Chaos to Direct Trajectories to Targets", Phys. Rev. Lett. 65, 3215 (1990) - Abstract.
• E. Ott, C. Grebogi, and J.A. Yorke, "Controlling Chaos", Phys. Rev. Lett. 64, 1196 (1990) - Abstract.

Crises

• Edward Ott (2006) Crises. Scholarpedia, 1(10):1700
• C. Robert, K.T. Alligood, E. Ott, and J.A. Yorke, "Outer Tangency Bifurcations of Chaotic Sets", Phys. Rev. Lett. 80, 4867 (1998) - Abstract.
• C. Robert, K.T. Alligood, E. Ott, and J.A. Yorke, "Explosions of Chaotic Sets", Submitted to Physica D (1998) - Abstract.
• C. Robert, K.T. Alligood, and T.D. Sauer, "Continued Fractions Hierarchy of Rotation Numbers in Planar Dynamics", Submitted to Phys. Rev. Lett. (1999) - Abstract.
• H.B. Stewart, Y. Ueda, C. Grebogi, and J.A. Yorke, "Double Crises in Two-Parameter Dynamical Systems", Phys. Rev. Lett. 75, 2478 (1995) - Abstract.
• Y.C. Lai and C. Grebogi, "Crisis and Enhancement of Chaotic Scattering", Phys. Rev. E 49, 3761 (1994) - Abstract.
• J.A.C. Gallas, C. Grebogi, and J.A. Yorke, "Vertices in Parameter Space: Double Crises which Destroy Chaotic Attractors", Phys. Rev. Lett. 71, 1359 (1993) - Abstract.
• J.C. Sommerer, W.L. Ditto, C. Grebogi, E. Ott, and M.L. Spano, "Experimental Confirmation of the Theory of Critical Exponents of Crises", Phys. Lett. A 153, 105 (1991).
• J.C. Sommerer, C. Grebogi, and E. Ott, "Scaling Law for Characteristic Times of Noise-Induced Crises", Phys. Rev. A 43, 1754 (1991).
• J.C. Sommerer, W.L. Ditto, C. Grebogi, E. Ott, and M.L. Spano, "Experimental Confirmation of the Scaling Theory of Noised-Induced Crises", Phys. Rev. Lett. 66, 1947 (1991).
• W.L. Ditto, S. Rauseo, R. Cawley, C. Grebogi, G.H. Hsu, E. Kostelich, E. Ott, H.T. Savage, R. Segnan, M.L. Spano, and J.A. Yorke, "Experimental Observation of Crises Induced Intermittency and its Critical Exponent", Phys. Rev. Lett. 63, 923 (1989) - Abstract.
• C. Grebogi, E. Ott, F. Romeiras, and J.A. Yorke, "Critical Exponents for Crisis-Induced Intermittency", Phys. Rev. A 36, 5365 (1987) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Crises, Sudden Changes in Chaotic Attractors and Chaotic Transients", Physica D 7, 181 (1983) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Chaotic Attractors in Crisis", Phys. Rev. Lett. 48, 1507 (1982)- Abstract.

Dimensions

• Edward Ott (2008) Attractor dimensions. Scholarpedia, 3(3):2110.
• C. Schroer, E. Ott and J. A. Yorke, "Effect of Noise on Nonhyperbolic Chaotic Attractors", Phys. Rev. Lett. 81, 1397 (1998) - Abstract.
• C. Schroer, T. Sauer, E. Ott and J. A. Yorke, "Predicting Chaos Most of the Time from Embeddings with Self-Intersections", Phys. Rev. Lett. 80, 1410 (1998) - Abstract.
• W. Chin, B. Hunt and J.A. Yorke, "Correlation Dimension for Iterated Function Systems", Trans. Amer. Math. Soc. 349, 1783 (1997) - Abstract.
• B. R. Hunt, K. M. Khanin, Y. G. Sinai and J. A. Yorke, "Fractal Properties of Critical Invariant Curves", J. Stat. Phys. 85, 261 (1996) - Abstract.
• B.R. Hunt, E. Ott and J.A. Yorke, "Fractal Dimensions of Chaotic Saddles of Dynamical Systems", Phys. Rev. 54, 4819 (1996) - Abstract.
• A. Namenson, E. Ott, and T.M. Antonsen, "Fractal dimension fluctuations for snapshot attractors of random maps", Physica D. 53, 2287 (1996) - Abstract.
• B.R. Hunt, I. Kan, and J.A. Yorke,, "When Cantor sets intersect thickly", Trans. Amer. Math. Soc. 339, 869 (1993) - Abstract.
• M. Ding, C. Grebogi, E. Ott, T. Sauer, and J.A. Yorke, "Estimating Correlation Dimension from a Chaotic Time Series: When does Plateau Onset Occur?", Physica D. 69, 404 (1993) - Abstract.
• M. Ding, C. Grebogi, E. Ott, T. Sauer, and J.A. Yorke, "Plateau Onset for Correlation Dimensions: When does it Occur?", Phys. Rev. Lett. 70, 3872 (1993) - Abstract.
• H.E. Nusse and J.A. Yorke, "The Equality of Fractal Dimension and Uncertainty Dimension for Certain Dynamical Systems", Comm. Math. Phys. 150, 1 (1992) - Abstract.
• E. Ott, T. Sauer, and J.A. Yorke, "Lyapunov Partition Functions for the Dimensions of Chaotic Sets", Phys. Rev. A 39, 4212 (1989) - Abstract.
• E. Ott, C. Grebogi, and J.A. Yorke, "Theory of First Order Transitions for Chaotic Attractors of Nonlinear Dynamical System", Phys. Lett. A 135, 343 (1989) - Abstract.
• M. Ding, C. Grebogi, and E. Ott, "The Dimension of Strange Nonchaotic Attractors", Phys. Lett. A 137, 167 (1989).
• C. Grebogi, E. Ott, and J.A. Yorke, "Roundoff Induced Periodicity and the Correlation Dimension of Chaotic Attractors", Phys. Rev. A 38, 3688 (1988)- Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Unstable Periodic Orbits and the Dimensions of Multifractal Chaotic Attractors", Phys. Rev. A 37, 1711 (1988) - Abstract.
• G.H. Hsu, E. Ott, and C. Grebogi, "Strange Saddles and Dimensions of their Invariant Manifolds", Phys. Lett. A 127, 199 (1988).
• C. Grebogi, E. Ott, and J.A. Yorke, "Unstable Periodic Orbits and the Dimension of Chaotic Attractors", Phys. Rev. A 36, 3522 (1987) - Abstract.
• C. Grebogi, S.W. McDonald, E. Ott and J.A. Yorke, "The Exterior Dimension of Fat Fractals", Phys. Lett 113, 495 (1986) -Abstract.
• Wm. E. Caswell and J. A. Yorke, "Invisible errors in dimension calculations: Geometric and systematic effects, in Dimension and Entropies in Chaotic Systems", ed.,G. Mayer-Kress, Springer-Verlag Synergetic Series, 1986.
• E. Ott, E.D. Yorke and J.A. Yorke, "A Scaling Law: How an Attractor's Volume Depends on Noise Level", Phys.D. 16, 62 (1985) - Abstract.
• C. Grebogi, S.W. McDonald, E. Ott, and J.A. Yorke, "Exterior Dimension of Fat Fractals", Phys. Lett. A D 110, 1 (1985).
• J.L. Kaplan, J. Mallet-Paret and J.A. Yorke, "The Lyapunov Dimension of a Nowhere Differentiable Attracting Torus", Ergodic Theory and Dyn. Sys. 4, 261 (1984) - Abstract.
• J.C. Alexander and J.A. Yorke, "Fat Baker's Transformations", Ergodic Theory and Dyn. Sys. 4, 1 (1984) - Abstract.
• E. Ott, W.D. Withers, and J.A. Yorke, "Is the Dimension of Chaotic Attractors Invariant under Coordinate Changes", J. Stat. Phys. 36, 687 (1984) - Abstract.
• J. D. Farmer, E. Ott, and J.A. Yorke, "The Dimension of Chaotic Attractors", Physica D 7, 153 (1983).
• P. Frederickson, J.L. Kaplan, E.D. Yorke and J.A. Yorke, "The Lyapunov Dimension of Strange Attractors", J. Differential Equations, 49, 185 (1983) - Abstract.
• D.A. Russsel, J.D. Hanson, and E. Ott, "Dimension of Strange Attractors", Phys. Rev. Lett. 44, 453 (1980).
• J. L. Kaplan and J. A. Yorke, "Chaotic behavior of multidimensional difference equations, in Functional Differential Equations and Approximation of Fixed Points", H. O. Peitgen and H. O. Walther, eds., Springer Lecture Notes in Math # 730 (1979), 204-227.

Embeddings

• T. Sauer, J. Tempkin and J.A. Yorke, "Spurious Lyapunov Expoenents in Attractor Reconstruction", Phys. Rev. Lett. 81, 4341 (1998) - Abstract.
• T. Sauer and J.A. Yorke, "Are the Dimension of a Set and Its Image Equal Under Typical Smooth Functions?", Ergodic Theory and Dyn. Sys. 17, 941 (1997) - Abstract.
• T. Sauer and J.A. Yorke, "How many Delay Coordinates do you Need?", Int'l Journal of Bifurcations and Chaos 3, 737 (1993) - Abstract.
• B.R. Hunt, T. Sauer, and J.A. Yorke, "Prevalence: a translation-invariant 'almost every' on infinite-dimensional spaces", Bull. Amer. Math. Soc. 27, 217 (1992). - Abstract.
• T. Sauer, M. Casdagli and J.A. Yorke, "Embedologoy", J. Stat. Phys. 65, 579 (1991) - Abstract.
• E.J. Kostelich and J.A. Yorke, "Using Dynamic Embedding Methods to Analyze Experimental Data", Contemp. Math. 99, 307 (1989)- Abstract.
• E. Kostelich and J. A. Yorke, "Using Dynamic Embedding Methods to Analyze Experimental data, in The Connection Between Infinite Dimensional and Finit Dimensional Dynamical Systems", ed. B. Nicolaenko. Providence, RI: American Mathematical Society series in Contemporary Mathematics, Vol. 99 (1989), pp. 307-312.

Fast Magnetic Dynamos

• C. Reyl, T.M. Antonsen, and E. Ott, "Quasi-two-dimensional fast kinematic dynamo instabilities of chaotic fluid flows", Phys. Plasmas 3, 2564 (1996) - Abstract.
• C. Reyl, T.M. Antonsen, and E. Ott, "Nature of Magnetic Dynamo Growth in the High Magnetic Reynolds Number Limit", Phys. Rev. Lett. 76, 2270 (1996).
• Y. Du and E. Ott, "Growth Rates for Fast Kinematic Dynamo Instabilities of Chaotic Fluid Flows", J. Fluid Mech. 257, 265 (1993).
• Y. Du and E. Ott, "Fractal Dimensions of Fast Dynamo Magnetic Fields", Physica D 67, 387 (1993) - Abstract.
• E. Ott, Y. Du, K.R. Sreenivasan, A. Juneja, and A.K. Suri, "Sign-Singular Measures: Fast Magnetic Dynamos and High Reynolds Number Fluid Turbulence", Phys. Rev. Lett. 69, 2654 (1992) - Abstract.
• J.M. Finn and E. Ott, "Chaotic Flows and Fast Magnetic Dynamos", Phys. Fluids 31, 2992 (1988).
• J.M. Finn and E. Ott, "Chaotic Flows and Fast Magnetic Dynamos", Comments on Plasma Physics 13, 113 (1990).
• J.M. Finn and E. Ott, "The Fast Kinematic Dynamo and the Dissipation Limit", Phys. Fluids B 2, 916 (1990).
• J.M. Finn and E. Ott, "Chaotic Flows and Magnetic Dynamos", Phys. Rev. Lett. 60, 760 (1988) - Abstract.

Fractal Basin Boundaries

• Edward Ott (2006) Basin of attraction. Scholarpedia, 1(8):1701
• Z. Toroczkai, G. Karolyi, A. Pentek, T. Tel, C. Grebogi and J. A. Yorke, "Wada Dye Boundaries in Open Hyrodynamical Flows", Phys. A 239, 235 (1997) - Abstract.
• H.E. Nusse and J.A. Yorke, "The Structure of Basins of Attraction and Their Trapping Regions", Ergodic Theory and Dyn. Sys. 17, 463 (1997) - Abstract.
• L. Poon, J. Campos, E. Ott, and C. Grebogi, "Wada Basin Boundaries in Chaotic Scattter", Int. J. Bifurcation and Chaos 6, 251 (1996) - Abstract.
• H.E. Nusse and J.A. Yorke, "Basins of Attraction", Science 271, 1376 (1996) - Abstract.
• H.E. Nusse and J.A. Yorke, "Wada basin boundaries and basin cells", Physica D 90, 242 (1996) - Abstract.
• H.E. Nusse, E. Ott, and J.A. Yorke, "Saddle-Node Bifurcations on Fractal Basin Boundaries", Phys. Rev. Lett. 75, 2482 (1995) - Abstract.
• J. Kennedy and J. A. Yorke, "The forced damped pendulum and the Wada property", Continuum Theory and Dynamical Systems, Lecture Notes in Pure and Applied Mathematics, editor Thelma West, (Marcel Dekker, Inc.) (1993), 157-181.
• K.T. Alligood and J.A. Yorke, "Accessible Saddles on Fractal Basin Boundaries", Ergodic Theor. and Dyn. Sys. 12, 377 (1992) - Abstract.
• K.T. Alligood, L. Tedeschini and J.A. Yorke, "Metamorphoses: Sudden Jumps in Basin Boundaries", Comm. Math. Phys. 141, 1 (1992).
• J. Kennedy and J.A. Yorke, "Basins of Wada", Physica D 51, 213 (1991) - Abstract.
• B.R. Hunt and J.A. Yorke, "Smooth dynamics on Weierstrass nowhere differentiable curves", Trans. Amer. Math. Soc. 325, 141 (1991).
• K. Alligood, L. Tedeschini and J.A. Yorke, "Metamorphoses: Sudden Jumps in Basin Boundaries", Comm. Math. Phys. 141, 1 (1991) - Abstract.
• B.S. Park, C. Grebogi, E. Ott, and J.A. Yorke, "Scaling of Fractal Basin Boundaries Near Intermittency Transition to Chaos", Phys. Rev. A 40, 1576 (1989) - Abstract.
• K. T. Alligood and J. A. Yorke, "Fractal basin boundaries and chaotic attractors", Proceedings of Symposia in Applied Mathematics, Vol. 39 (1989), 41-55.
• S. Bleher, C. Grebogi, E. Ott, and R. Brown, "Fractal Boundaries for Exit in Hamiltonian Dynamics", Phys. Rev. A 38, 930 (1988) - Abstract.
• C. Grebogi, H. E. Nusse, E. Ott and J. A. Yorke, "Basic Sets: Sets that determine the dimension of basin boundaries, In Dynamical Systems", Proc. of Special Year at the University of Maryland, Lecture Notes in Mathematics, ed. J. Alexander, 1342, 220-250, Springer Verlag, Berlin, etc. (1988).
• C. Grebogi, E. Ott and J.A. Yorke, "Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics", Science 238, 632 (1987) - Abstract.
• C. Grebogi, E. Ott and J.A. Yorke, "Basin Boundary Metamorphoses: Changes in Accessible Boundary Orbits", Physica D 24, 243 (1987) - Abstract.
• C. Grebogi, E. Ott, J.A. Yorke, and H.E. Nusse "Fractal Basin Boundaries with Unique Dimension", Ann. NY Acad. Sci. 497, 117 (1987).
• C. Grebogi, E. Kostelich, E. Ott, and J.A. Yorke, "Multidimensional Intertwined Basin Boundaries: Basin Structure of the Kicked Double Rotor", Physica D 25, 347 (1987) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Metamorphoses of Basin Boundaries in Nonlinear Dynamical Systems", Phys. Rev. Lett. 56, 1011 (1986)- Abstract.
• S. W. McDonald, C. Grebogi, E. Ott, and J.A. Yorke, "Structure and Crises of Fractal Basin Boundaries", Phys. Lett. A 107A, 51 (1985) - Abstract.
• S. W. McDonald, C. Grebogi, E. Ott, and J.A. Yorke, "Fractal Basin Boundaries", Physica D 17, 125 (1985) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Fractal Basin Boundaries, Long-Lived Chaotic Transients, and Unstable-Unstable Pair Bifurcations", Phys. Rev. Lett. 50, 935 (1983).

Fractals in Fluids

• T.M. Antonsen Jr., Z.F. Fan and E. Ott, "k Spectrum of Passive Scalars in Lagrangian Chaotic Fluid Flows", Phys. Rev. Lett. 75, 1751 (1995) - Abstract.
• A. Pentek, Z. Toroczkai, T. Tel, C. Grebogi, and J.A. Yorke, "Fractal Boundaries in Open Hydrodynamical Flows: Signatures of Chaotic Saddles", Phys. Rev. E 51, 4076 (1995) - Abstract .
• J.C. Sommerer, "Surface Flows, Random Maps, and Fractal Dimensions", Physica D 76, 85 (1994) - Abstract.
• J.C. Sommerer and E. Ott, "Particles Floating on a Moving Fluid: A Dynamically Comprehensible Physical Fractal", Science 259,335 (1993) - Abstract.
• L. Yu, Q. Chen, and E. Ott, "Fractal Distribution of Floaters on a Fluid Surface and the Transition to Chaos for Random Maps", Physica D 53, 102 (1991) - Abstract.
• F. Varosi, T.M. Antonsen, and E. Ott, "The Spectrum of Fractal Dimensions of Passively Convected Scalar Gradients in Chaotic Fluid Flows", Phys. Fluids A 3, 1017 (1991).
• T. M. Antonsen and E. Ott, "Multifractal Power Spectra of Passive Scalars Convected by Chaotic Fluid Flows", Phys. Rev. A 44, 851 (1991).
• T. M. Antonsen and E. Ott, "Chaotic Fluid Convection and the Fractal Nature of Passive Scalar Gradients", Phys. Rev. Lett. 61, 2839 (1988).
• J.A. Yorke, E.D. Yorke and J. Mallet-Paret, "Lorenz-like Chaos in a Partial Differential Equation for a Heated Fluid Loop", Physica D , 279 (1987) -Abstract.
• J.L. Kaplan and J.A. Yorke,"Preturbulence: A Regime Observed in a Fluid Flow Model of Lorenz", Comm. Math. Phys. 67, 93 (1979) - Abstract.
• E.D. Yorke, and J.A. Yorke, "Metastable Chaos: The Transition to Sustained Chaotic Behavior in the Lorenz Model", J. Stat. Phys. 21, 263 (1979) - Abstract.

General Chaos

• M.A. Aziz-Alaoui, C. Robert, and C. Grebogi, "Dynamics of an H\'enon-Lozi Type Map", Submitted (2000) - Abstract.
• K. Alligood and J.A. Yorke, "Rotation Intervals for Chaotic Sets", Proc. Amer. Math. Soc. 126, 2805 (1998) - Abstract.
• U. Feudel, C. Grebogi, L. Poon and J. A. Yorke, "Dynamical Properties of a Simple Mechnical System With a Large Number of Coexisting Periodic Attractors", Chaos, Solitons and Fractals 9, 171 (1998) - Abstract.
• J.A. Kennedy and J.A. Yorke, "Pseudocircles, Diffeomorphisms, and Perturbable Dynamical Systems", Ergodic Theory and Dyn. Sys. 16, 1031 (1996) - Abstract.
• S. J. Schiff, P. So, T. Chang, R.E. Burke, and T. Sauer, "Detecting Generalized Synchrony Through Mutual Prediction in Neural Ensemble", Phys. Rev. E 54, 6708 (1996) - Abstract.
• S.C. Venkataramani B. Hunt, and E. Ott, "Bubbling transition", Phys. Rev. E 54, 1346 (1996) - Abstract.
• U. Feudel, C. Grebogi, B. Hunt, and J.A. Yorke, "Map with more than 100 coexisting low-period periodic attractors", Phys. Rev. E 54, 71 (1996) - Abstract.
• P. So, E. Ott, S.J. Schiff, D.T. Kaplan, T. Sauer, and C. Grebogi "Decting Unstable Periodic Orbits in Chaotic Experimental Data", Phys. Rev. Lett 76, 4705 (1996) - Abstract.
• B.R. Hunt and E. Ott "Optimal Periodic Orbits of Chaotic Systems", Phys. Rev. Lett 76, 2254 (1996) - Abstract.
• F. Casas, W. Chin, C. Grebogi and E. Ott "Universal grazing bifurcations in impact oscillators", Phys. Rev. E 53, 134 (1996) - Abstract.
• L.W. Salvino, R. Cawley, C. Grebogi, and J.A. Yorke "Predictability in Time Series", Phys. Lett. A 209, 327 (1995) - Abstract.
• S.C. Venkataramani, Jr., T.M. Antonsen, E. Ott, and J.C. Sommerer "Characterization of on-off intermittent time series", Phys. Lett. A 207, 173 (1995) - Abstract.
• L. Poon and C. Grebogi,"Controlling Complexity", Phys. Rev. Lett. 75, 4023 (1995) - Abstract.
• C.S. Daw, C.E.A. Finney, M. Vasudevan, N.A. van Goor, K. Nguyen, D.D. Bruns, E.J. Kostelich, C. Grebogi, E. Ott, and J.A. Yorke "Self-Organization and Chaos in a Fluidized Bed", Phys. Rev. Lett. 75, 2308 (1995) - Abstract.
• J.A. Kennedy and J.A. Yorke "Bizarre topology is natural in dynamical systems", Bulletin of Amer. Math. Assoc. 32, 309 (1995) - Abstract.
• Y.C. Lai and C. Grebogi "Intermingled basins and two-state on-off intermittency", Phys. Rev. E 52, 3313 (1995) - Abstract.
• J.A. Kennedy and J.A. Yorke, "Pseudocircles in Dynamical Systems", Trans. Amer. Math. Soc. 343, 349 (1994) - Abstract.
• W. Chin, E. Ott, H.E. Nusse and C. Grebogi, "Universal Behavior of Impact Oscillators Near Grazing Incidence", Phys. Lett. A 201, 197 (1994).
• C. Grebogi "Linear Scaling Laws in Bifurcations of Scalar Maps", Z. Naturforsch. 49A, 1207 (1994).
• Y.C. Lai, C. Grebogi, and E.J. Kostelich, "Extreme Final State Sensitivity in Inhomogeneous Spatiotemporal Chaotic Systems", Phys. Lett. A 196, 206 (1994).
• W. Chin, E. Ott, H.E. Nusse and C. Grebogi "Grazing Bifurcations in Forced Impact Oscillators", Phys. Rev. E 50, 4427 (1994) - Abstract.
• M. Ding, E. Ott and C. Grebogi "Crisis Control: Preventing Chaos-induced Capsizing of a Ship", Phys. Rev. E 50, 4228 (1994).
• S. Hayes, C. Grebogi, E. Ott and A. Mark, "Experimental control of Chaos for Communication", Phys. Rev. Lett. 73, 1781 (1994) - Abstract.
• P. So, W.P. Dayawansa and E. Ott, "Observing Chaos: Deducing and Tracking the State of a Chaotic System from Limited Observations", Phys. Rev. E 49, 2650 (1994) - Abstract.
• T. Tel, Y. Du and E. Ott, "Characterization of Sign Singular Measures", Physica D 76, 168 (1994).
• H. E. Nusse, E. Ott, and J.A. Yorke, "Border-Collision Bifurcations: A Possible Explanation for Observed Bifurcation Phenomena", Phys. Rev. E 49, 1043 (1994) - Abstract.
• M. Ding and E. Ott, "Enhancing Synchronism of Chaotic Systems", Phys. Rev. E 49, 945 (1994) - Abstract.
• P. So, W.P. Dayawansa and E. Ott, "Observing Chaos: Deducing and Tracking the State of a Chaotic System from Limited Data", Phys. Lett. A 176, 421 (1993) - Abstract.
• S. Hayes, C. Grebogi, and E. Ott, "Communicating with Chaos", Phys. Rev. Lett. 70, 3031 (1993).
• Y.C. Lai, C. Grebogi, and J.A. Yorke, "How often are Chaotic Saddles Nonhyperbolic?", Nonlinearity 6, 779 (1993) - Abstract.
• B.R. Hunt and J.A. Yorke,, "Maxwell on chaos", Nonlinear Science Today 3, 1 (1993).
• W. Chin, I. Kan, and C. Grebogi, "Evolution of Attractor Boundaries in Two-Dimensional Noninvertible Maps", Random and Comp. Dynamics 1, 349 (1993).
• S.P. Dawson, C. Grebogi, and H. Kocak, "A Geometric Mechanism for Antimonotonicity in Scalar Maps with Two Critical Points", Phys. Rev. E 48, 1676 (1993) - Abstract.
• Y.C. Lai, C. Grebogi, and E. Ott, "Temporal Crossover from Classical to Quantum Behavior: A Markov Chain Approach", Phys. Lett. A 173, 148 (1993).
• B.R. Hunt, T. Sauer, and J.A. Yorke,, "Prevalence: an addendum", Bull. Amer. Math. Soc. 28, 306 (1993).
• T. Shinbrot, C. Grebogi, J. Wisdom, and J.A. Yorke, "Chaos in a Double Pendulum", Amer. J. Phys. 60, 491 (1992) - Abstract.
• S.P. Dawson, C. Grebogi, I. Kan, H. Kocak, and J.A. Yorke, "Antimonotonicity: Inevitable Reversals of Period-doubling Cascades", Phys. Lett. A 162, 249 (1992) - Abstract.
• Y.C. Lai, C. Grebogi, R. Blumel, and M. Ding, "Algebraic Decay and Phase-space Metamorphoses in Microwave Ionization of Hydrogen Rydberg Atoms", Phys. Rev. A 45, 8284 (1992) - Abstract.
• I. Kan, H. Kocak, and J.A. Yorke, "Antimonotonicity: Concurrent Creation and Annihilation of Periodic Orbits", Annals of Math. 136, 219 (1992).
• L. Yu, E. Ott, and Q. Chen, "The Transition to Chaos for Random Dynamical Systems", Phys. Rev. Lett. 65, 2935 (1991).
• S.P. Dawson and C. Grebogi, "Cubic Maps as Models of Two Dimensional Antimonotonicity", Chaos, Solitons, and Fractals 1, 137 (1991).
• Q. Chen, E. Ott, and L. Hurd, "Calculating Topological Entropies of Chaotic Dynamical Systems", Phys. Lett. A 156, 48 (1990).
• M. Ding, T. Bountis, and E. Ott, "Algebraic Escape in Higher Dimensional Hamiltonian System", Phys. Lett. A 151, 395 (1990).
• W.L. Ditto, M.L. Spano, H.T. Savage, S.N. Rauseo, J. Heagy, and E. Ott, "Experimental Observation of a Strange Nonchaotic Attractor", Phys. Rev. Lett. 65, 533 (1990) - Abstract.
• Q. Chen and E. Ott, "Cross Sections of Chaotic Attractors", Phys. Lett. A 147, 450 (1990).
• F.J. Romeiras, V. Grebogi, and E. Ott, "Multifractal Properties of Snapshot Attractors of Random Maps", Phys. Rev. A 41, 784 (1990) - Abstract.
• E. Kostelich and J.A. Yorke, "Noise Reduction: Finding the Simplest Dynamical System Consistent with the Data", Physica D 41, 183 (1990) - Abstract.
• F.J. Romeiras, A. Boneson, E. Ott, T.M. Antonsen, and C. Grebogi, "Quasiperiodic Forcing and the Observability of Strange Nonchaotic Attractors", Physica Scripta 40, 442 (1989).
• D.K. Umberger, C. Grebogi, E. Ott, and B. Afeyan, "Spatio-temporal Dynamics in a Dispersively Coupled Chain of Nonlinear Oscillators", Phys. Rev. A 39, 4835 (1989) - Abstract.
• M. Ding, C. Grebogi, and E. Ott, "Evolution of Attractors in Quasiperiodically Forced Systems: From Quasiperiodic to Strange Nonchaotic to Chaotic", Physica Rev. A 39, 2593 (1989).
• F.J. Romeiras, C. Grebogi, and E. Ott, "Critical Exponents for Power Spectra Scaling at Merging of Chaotic Bands", Phys. Rev. A 38, 463 (1988).
• P. Battelino, C. Grebogi, E. Ott, J.A. Yorke, and E.D. Yorke "Multiple Coexisting Attractors, Basin Boundaries, and Basic Sets", Physica D 32, 296 (1988) - Abstract.
• F.J. Romeiras, and E. Ott, "Strange Nonchaotic Attractors of the Damped Pendulum with Quasiperiodic Forcing", Phys. Rev. A 35, 4404 (1987).
• K. Alligood, E.D. Yorke and J.A. Yorke, "Why Period-doubling Cascades Occur: Periodic Orbit Creation followed by Stability Shedding", Physica D 28, 197 (1987).
• R. Brown, C. Grebogi and E. Ott, "Ergodic Adiabatic Invariants of Chaotic Systems", Phys. Rev. Lett. 59, 1173 (1987).
• E. D. Yorke, J. Mallet-Paret and J.A. Yorke, "Lorenz-like Chaos in Partial Differential Equation for a Heated Loop", Physica D 24, 279 (1987).
• E. Kostelich and J.A. Yorke, "Lorenz Cross Sections of the Chaotic Attractor of the Double Rotor", Physica D 24, 263 (1987) - Abstract.
• R. Brown, C. Grebogi and E. Ott, "Broadening of Spectral Peaks at the Merging of Chaotic Bands in Period Doubling Systems", Phys. Rev. A 34, 2248 (1986).
• C. Grebogi, E. Ott and J.A. Yorke, "Critical Exponent of Chaotic Transients in Nonlinear Dynamical Systems", Phys. Rev. Lett. 57, 1284 (1986) - Abstract.
• J.A. Yorke, C. Grebogi, E. Ott, and L. Tedeschini-Lalli, "Scaling Behavior of Windows in Dissipative Dynamical Systems", Phys. Rev. Lett. 54, 1095 (1985) - Abstract.
• C. Grebogi, E. Ott, and J.A. Yorke, "Attractors on an N-Torus: Quasiperiodicity Versus Chaos", Physica D 15, 354 (1985)- Abstract.
• C. Grebogi, E. Ott, S. Pelikan, and J.A. Yorke, "Strange Attractors that Are Not Chaotic", Physica D 13, 261 (1984) - Abstract.
• C. Grebogi, S.W. McDonald, E. Ott, and J.A. Yorke, "Final State Sensitivity: An Obstruction to Predictability", Phys. Lett. A 99, 415 (1983).
• C. Grebogi, E. Ott, and J.A. Yorke, "Are Three-Frequency Quasiperiodic Orbits to be Expected in Typical Nonlinear Dynamical Systems?", Phys. Rev. Lett. 51, 339 (1983).
• J. D. Meiss, J.R. Cary, J.D. Crawford, C. Grebogi, A.N. Kaufman, and H.D.I. Arbarbanel, "Correlations of Periodic Area-Preserving Maps", Physica D 6, 375 (1983).
• T.Y Li, M. Misiurewicz, G. Pianigiani and J.A. Yorke, "Odd Chaos", Phys. Lett. 87, 271 (1982) - Abstract.
• T.Y. Li, M. Misiurewicz, G. Pianigiani and J.A. Yorke, "No Division Implies Chaos", Trans. Amer. Math. Soc., 273, 191 (1982) - Abstract.
• E. Ott, and J.D. Hanson, "The Effect of Noise on the Structure of Strange Attractors", Phys. Lett. A 85, 20 (1981).
• C. Grebogi and A.N. Kaufman, "Decay of Statistical Dependence in Chaotic Orbits of Deterministic Mappings", Phys. Rev. A 24, 2829 (1981).
• E. Ott, "Strange Attractors and Chaotic Motions of Dynamical Systems", Rev. Mod. Phys. 53, 655 (1981).
• J. Harrison and J. A. Yorke, "Flows on S^3 and R^3 without periodic orbits, in Geometric Dynamics", Springer Lecture Notes in Mathematics #1007 (1983), 401-407: The proceedings of a dynamics meeting at IMPA in Rio de Janeiro, August 1981.
• J. Auslander and J.A. Yorke, "Interval Maps, Factors of Maps, and Chaos", Tohoku Math. J. 32, 177 (1980)- Abstract.
• T.Y. Li, and J.A. Yorke, "Period Three Implies Chaos", Amer. Math. Monthly 82, 985 (1975).

Invariant Measures

• A. Lasota and J.A. Yorke, "When the Long-time Behavior is Independent of the Initial Density", SIAM J. of Math. Anal. 27,221 (1996) - Abstract.
• G. Pianigiani and J.A. Yorke, "Expending Maps on Sets which are Almost Invariant: Decay and Chaos", Trans. Amer. Math. Soc. 252, 351 (1979) - Abstract.
• T.Y. Li and J.A. Yorke, "Ergodic Maps on [0,1] and Nonlinear Pseudo-Random Number Generators", Noninear Anal. 2, 473 (1978).
• T.Y. Li and J.A. Yorke, "Ergodic transformations from an interval into itself", Trans. Amer. Math. Soc. 235, 183 (1978) - Abstract.
• A. Lasota and J.A. Yorke, "On the existence of invariant measures piecewise monotomic transformations", Trans. Amer. Math. Soc. 186, 481 (1973) - Abstract.

Networks

• J.G. Restrepo, B. R. Hunt, and E. Ott, "The Emergence of Coherence in Complex Networks of Heterogeneous Dynamical Systems", Phys. Rev. Lett. 96 254103 (2006).
• J.G. Restrepo, E. Ott, and B.R. Hunt, "Synchronization of Large Directed Networks of Phase Oscillators", Chaos 16, 015107 (2006).
• J.G. Restrepo, E. Ott, and B.R. Hunt, "Characterization of the Dynamical Importance of Network Nodes and Links", Phys. Rev. Lett. 97 094102 (2006).
• J.G. Restrepo, B.R. Hunt, and E. Ott, "Onset of Synchronization in Large Networks of Coupled Oscillators", Phys. Rev. E 71, 036151 (2005).
• J. Ozik, B. R. Hunt, and E. Ott, "Growing Networks with Geographical Attachment Preference: Emergence of Small Worlds", Phys. Rev. E 69, 026108 (2004).
• M. Girvan and N.E.J. Newman, "Community structure in social and biological networks", Proc. Natl. Acad. Sci. 99, 7821 (2002) - Abstract.
• J.W. Kim, B. Hunt, and E. Ott, "Evolving Networks with Multispecies Nodes and Spread in the Initial Number of Links", Phys. Rev. E 66, 046115 (2002) 2002.

Numerical Techniques

• E. Kostelich, J. A. Yorke and Z. You, "Plotting Stable Manifolds: Error Estimates and Noninvertible Maps", Phys. D 93, 210 ( 1996) - Abstract.
• J.C. Sommerer and C. Grebogi, "Determination of Critical Parameter Values by Direct Observation of Manifold Tangencies", International Journal of Bifurcation and Chaos 3, 383 (1992) - Abstract.
• H. Nusse and J.A. Yorke, "A Numerical Procedure for Finding Accessible Trajectories on Basin Boundaries", Nonlinearity 4, 1183 (1991) - Abstract.
• H. Nusse and J.A. Yorke, "Analysis of a Procedure for Finding Numerical Trajectories close to Chaotic Saddle Hyperbolic Sets", Ergodic Theor. and Dyn. Sys. 11, 189 (1991) - Abstract.
• Z.P. You, E.J. Kostelich, and J.A. Yorke, "Calculating Stable and Unstable Manifolds", Int. J. Bifurcation and Chaos 1, 605 (1991) - Abstract.
• H. Nusse and J.A. Yorke, "A Procedure for Finding Numerical Trajectories on Chaotic Saddles", Physica D 36, 137 (1989)- Abstract.
• E. Kostelich and J.A. Yorke, "Noise Reduction in Dynamical Systems", Phys. Rev. A 38, 1649 (1988). - Abstract.
• F. Varosi, C. Grebogi and J.A. Yorke, "Simplicial Approximation of Poincare Maps of Differential Equations", Phys. Lett. 124, 59 (1987) -Abstract.
• S.N. Chow, J. Mallet-Paret and J.A. Yorke, "Finding Zeroes of Maps: Homotopy Methods that are Constructive with Probability One", Math of Comp. 32, 887 (1978). -Abstract.

• M. Newey, J. Ozik, S. M. van der Meer, W. Losert, and E. Ott, "Band-in-band Segregation of Multidisperse Granular Mixtures", Europhys. Lett. 66, 205 (2004).
• J. G. Restrepo, E. Ott, and B. Hunt, "Spatial Patterns of Desynchronization Bursts in Networks", Phys. Rev. E 69, 066215 (2004).
• J. Stambaugh, D. P. Lathrop, E. Ott, and W. Losert, "Pattern Formation in a Monolayer of Magnetic Spheres", Phys. Rev. E 68, 026207 (2003).
• J. W. Kim and E. Ott, "Statistics and Characteristics of Spatio-Temporally Rare Intense Events in Complex Ginzburg-Landau Models", Phys. Rev. E 67, 026203 (2003).
• J. W. Kim,J. Y. Vaishnav, S. C. Venkataramani, E. Ott, and W. Losert, "Front Propagation of Spatio-temporal Chaos", Phys. Rev. E 64, 016215 (2001).
• M. Hendrey, E. Ott, and T.M. Antonsen, Jr. "Spiral wave dynamics in oscillatory inhomogeneous media", Phys. Rev. E 61, 4943-4953 (2000). - Abstract.
• M. Hendrey, E. Ott, and T.M. Antonsen, Jr. "Effect of Inhomogeneity on Spiral Wave Dynamics", Phys. Rev. Lett. 82, 859-862 (1999). - Abstract.
• K. Nam, E. Ott, M. Gabbay, and P.N. Guzdar, "Spiral wave dynamics in the complex Ginzburg-Landau equation with broken chiral symmetry", Physica D 118, 69-83 (1998) - Abstract.
• K. Nam, E. Ott, P.N. Guzdar and M. Gabbay, "Stability of spiral wave vortex filaments with phase twists", Phys. Rev. E 58(2), 2580-2585 (1998). - Abstract.
• S.C. Venkataramani and E. Ott, "Spatio-Temporal Bifurcation Phenomena with Temporal Period Doubling: Patterns in Vibrated Sand", Phys. Rev. Letters 80, 3495-3498 (1998) - Abstract.
• T. Bohr, G. Huber, and E. Ott, "The structure of spiral-domain patterns and shocks in the 2D complex Ginzburg-Landau equation", Physica D 106, 95-112 (1997) - Abstract.
• M. Gabbay, E. Ott, and P.N. Guzdar, "The dynamics of scroll wave filaments in the complex Ginzburg-Landau equation", Physica D 118, 371-395 (1998) - Abstract.
• M. Gabbay, E. Ott, and P.N. Guzdar, "Reconnection of Vortex Filaments in the Complex Ginzburg-Landau Equation", Phys. Rev. E 58, 2576-2579 (1998) - Abstract.
• M. Gabbay, E. Ott, and P.N. Guzdar, "The Motion of Scroll Wave Filaments in the Complex Ginzburg-Landau Equation", Phys. Rev. Letters 78(10), 2012-2015 (1997) - Abstract.
• T. Bohr, G. Huber, and E. Ott "The Structure Of Spiral Domain Patterns", Europhysics Lett. 33, 589 (1996).
• B.A. Peratt and J.A. Yorke, "Continuous Avalanche Mixing of Granular Solids in a Rotating Drum", Europhysics Lett. 35, 31 (1996) - Abstract.

• R.N. Oerter, E. Ott, T. M. Antonsen, Jr., and P. So, "Spectral Statistics for Quantum Chaos with Ray Splitting", Phys. Lett. A 216, 59 (1996) - Abstract.
• R. Blumel, T.M. Antonsen Jr., B. Georgeot, E. Ott, and R.E. Prange , "Ray Splitting and Qunatum Chaos", Phys. Rev. Lett.. 76, 2476 (1996) - Abstract.
• R. Blumel, T.M. Antonsen Jr., B. Georgeot, E. Ott, and R.E. Prange , "Ray Splitting and Qunatum Chaos", Phys. Rev. E 53, 3284 (1996) - Abstract.
• R.E. Prange, E. Ott, T.M. Antonsen Jr., B. Georgeot, and R. Blumel, "Smoothed density of states for problems with ray splitting", Phys. Rev. E 53, 207 (1996) - Abstract.
• P. So, S.M. Anlage, E. Ott, and R.N. Oerter, "Wave Chaos Experiments with and without Time Reversal Symmetry: GUE and GOE Statistics", Phys. Rev. Lett. 74, 2662 (1995) - Abstract.
• T.M. Antonsen Jr., E. Ott, Q. Chen, and R.N. Oerter, "Statistics of wave-function scars", Phys. Rev. E 51, 111 (1995) - Abstract.
• L. Couchman, T. M. Antonsen, and E. Ott, "Quantum Chaos in Systems with Ray Splitting", Phys. Rev. A 46, 6193 (1992).
• E. Ott, T. M. Antonsen, and J.D. Hanson, "Effect of Noise on Time-Dependent Quantum Chaos", Phys. Rev. Lett. 53, 2187 (1984).

• J.C. Alexander, B. Hunt, I. Kan and J.A. Yorke, "Intermingled Basins for the Triangle Map", Ergodic Theory and Dyn. Sys. 16, 651 (1996) - Abstract.
• Y-C. Lai, C. Grebogi, J.A. Yorke, and S.C. Venkataramani, "Riddling Bifurcation In Chaotic Dynamical-Systems", Phys. Rev. Lett. 77, 55 (1996) - Abstract.
• Y-C. Lai and C. Grebogi, "Characterizing riddled fractal sets", Phys. Rev. E 53, 1371 (1996) - Abstract.
• E. Ott and J.C. Sommerer, "Blowout Bifurcations: The Occurrence of Riddled Basins and On-Off Intermittency", Phys. Lett. A 188, 39 (1994) - Abstract.
• E. Ott, J. Alexander, I. Kan, J.C. Sommerer, and J.A. Yorke, "The Transition to Chaotic Attractors with Riddled Basins", Physica D 76, 384 (1994) - Abstract.
• E. Ott, J.C. Sommerer, J. Alexander, I. Kan, and J.A. Yorke, "Scaling Behavior of Chaotic Systems with Riddled Basins", Phys. Rev. Lett. 71, 4134 (1993) - Abstract.
• J.C. Sommerer and E. Ott, "A Physical System with qualitatively uncertain dynamics", Nature 365, 138 (1993) - Abstract.
• J. Alexander, I. Kan, Z.P. You, and J.A. Yorke, "Riddled Basins", Int. J. Bifurcation & Chaos 2, 795 (1992)- Abstract.

• E. Kostelish, I Kan, C. Grebogi, E. Ott and J.A. Yorke, "Unstable Dimention Variability: A Source of Nonhyperbolicity in Chaotic Systems", Physica D 109, 81 (1997) - Abstract.
• T. Sauer, C. Grebogi and J.A. Yorke, "How Long Do Numerical Chaotic Solutions Remain Valid?", Phys. Rev. Lett. 79, 59 (1997) - Abstract.
• S. Dawson, C. Grebogi, T. Sauer, and J.A. Yorke, "Obstructions of Shadowing When a Lyapunov Exponent Fluctuates about Zero", Phys. Rev. Lett. 73, 1927 (1994) - Abstract.
• T. Sauer and J.A. Yorke, "Rigorous Verification of Trajectories for the Computer Simulation of Dynamical Systems", Nonlinearity 4, 961 (1991) - Abstract.
• C. Grebogi, S.M. Hammel, T. Sauer, and J.A. Yorke, "Shadowing of Physical Trajectories in Chaotic Dynamics: Containment and Refinement", Phys. Rev. Lett. 65, 1527 (1990) - Abstract.
• S. Hammel, C. Grebogi, and J.A. Yorke, "Numerical Orbits of Chaotic Processes Represent True Orbits", Bull. Amer. Math. Soc. 19, 465 (1988).
• H.E. Nusse and J.A. Yorke, "Is Every Approximate Trajectory of Some Process Near an Exact Trajectory of a Nearby Process?", Comm. Math. Phys., 114, 363 (1988) - Abstract.
• E.M. Coven, I. Kan and J.A. Yorke, "Pseudo-Orbit Shadowing in the Family of Tent Maps", Trans. Amer. Math. Soc., 308, 227 (1988) - Abstract.
• S. Hammel, C. Grebogi, and J.A. Yorke, "Do Numerical Orbits of Chaotic Dynamical Processes Represent True Orbits?", J. Complexity 3, 136 (1987) - Abstract.

• S. H. Strogatz, D. Abrams, A. McRobie, and B. Eckhardt, and E. Ott, "Crowd Synchrony on the Millennium Bridge", Nature {438} (7046), 43 (2005).
• E. Ott, D. DeShazer, R. Breban, and R. Roy, "Phase Synchronization and Entrainment in a Chaotic Laser Array", Int. J. Bifurcations and Chaos {14}, 3205 (2004).
• R. Breban and E. Ott, "Phase Synchronization of Chaotic Attractors in the Presence of Two Competing Periodic Signals", Phys. Rev. E {65}, 05621 (2002).
• E. Ott, P. So, E. Barreto, and T. Antonsen, "The Onset of Synchronism in Systems of Globally Coupled Chaotic and Periodic Oscillators", Physica D {173}, 29 (2002) and electronic publication arXiv.org/abs/nlin.CD/020518.
• DJ DeShazer, R Breban, E Ott, R Roy, "Detecting Phase Synchronization in a Coupled Laser Array", Phys. Rev. Lett. {87}, 044101 (2001).
• B. Hunt, E. Ott and J.A. Yorke, "Differentiable Generalized Synchronism of Chaos", Phys. Rev. Lett. 55, 4029 (1997) - Abstract.

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