• 25353 Citations
1977 …2019
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Research Output 1977 2019

1993
141 Citations (Scopus)

SYNCHRONIZATION OF CHAOTIC TRAJECTORIES USING CONTROL

LAI, Y. C., GREBOGI, C. & Lai, Y-C., Apr 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 47, 4, p. 2357-2360 4 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

TEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH

LAI, Y. C., OTT, E., GREBOGI, C. & Lai, Y-C., 1 Feb 1993, In : Physics Letters A. 173, 2, p. 148-152 5 p.

Research output: Contribution to journalArticle

680 Citations (Scopus)

Using small perturbations to control chaos

Shinbrot, T., Grebogi, C., Yorke, J. A. & Ott, E., 3 Jun 1993, In : Nature. 363, 6428, p. 411-417 7 p.

Research output: Contribution to journalArticle

44 Citations (Scopus)

Vertices in parameter space: Double crises which destroy chaotic attractors

Gallas, J. A. C., Grebogi, C. & Yorke, J. A., 30 Aug 1993, In : Physical Review Letters. 71, 9, p. 1359-1362 4 p.

Research output: Contribution to journalArticle

1992

Abrupt Dimension Changes at Basin Boundary Metamorphoses

Park, B. S., Grebogi, C. & Lai, Y-C., Sep 1992, In : International Journal of Bifurcation and Chaos. 2, 3, 533-541.

Research output: Contribution to journalArticle

Fractals
Dynamical systems
Experiments
Chaotic Dynamical Systems
Fractal
57 Citations (Scopus)

Algebraic decay and fluctuations of the decay exponent in Hamiltonian systems

Lai, Y-C., Ding, M., Grebogi, C. & Blümel, R., 15 Oct 1992, In : Physical Review A. 46, 8, p. 4661-4669 9 p.

Research output: Contribution to journalArticle

41 Citations (Scopus)

Algebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms

Lai, Y-C., Grebogi, C., Blümel, R. & Ding, M., 1 Jun 1992, In : Physical Review A. 45, 11, p. 8284-8287 4 p.

Research output: Contribution to journalArticle

93 Citations (Scopus)

Antimonotonicity: inevitable reversals of period-doubling cascades

Dawson, S. P., Grebogi, C., Yorke, J. A., Kan, I. & Kocak, H., 10 Feb 1992, In : Physics Letters A. 162, 3, p. 249-254 6 p.

Research output: Contribution to journalArticle

Chaos in a Double Pendulum

Shinbrot, T., Grebogi, C., Wisdom, J. & Yorke, J. A., Jun 1992, In : American Journal of Physics. 60, 6, p. 491-499 9 p.

Research output: Contribution to journalArticle

165 Citations (Scopus)

CONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS

AUERBACH, D., GREBOGI, C., OTT, E. & YORKE, J. A., 14 Dec 1992, In : Physical Review Letters. 69, 24, p. 3479-3482 4 p.

Research output: Contribution to journalArticle

362 Citations (Scopus)

CONTROLLING CHAOTIC DYNAMIC-SYSTEMS

ROMEIRAS, F. J., GREBOGI, C., OTT, E. & DAYAWANSA, W. P., 15 Sep 1992, In : Physica. D, Nonlinear Phenomena. 58, 1-4, p. 165-192 28 p.

Research output: Contribution to journalArticle

Determination of Crisis Parameter Values by Direct Observation of Manifold Tangencies

Sommerer, J. C. & Grebogi, C., Jun 1992, In : International Journal of Bifurcation and Chaos. 2, 2, p. 383-396 14 p.

Research output: Contribution to journalArticle

Periodic Points
Unstable
Geometric Algorithms
Unstable Manifold
Stable Manifold

FEEDBACK-CONTROL OF CHAOTIC SYSTEMS

ROMEIRAS, F. J., GREBOGI, C., OTT, E. & DAYAWANSA, W. P., 1992, CHAOTIC DYNAMICS. Bountis, T. (ed.). NEW YORK: PLENUM PRESS DIV PLENUM PUBLISHING CORP, p. 177-193 17 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

102 Citations (Scopus)

QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING

LAI, Y. C., BLUMEL, R., OTT, E., GREBOGI, C. & Lai, Y-C., 15 Jun 1992, In : Physical Review Letters. 68, 24, p. 3491-3494 4 p.

Research output: Contribution to journalArticle

SUDDEN CHANGE IN THE SIZE OF CHAOTIC ATTRACTORS - HOW DOES IT OCCUR

LAI, Y. C., GREBOGI, C., YORKE, J. A. & Lai, Y-C., 1992, APPLIED CHAOS. Kim, JH. & Stringer, J. (eds.). NEW YORK: John Wiley & Sons Inc., p. 441-455 15 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

79 Citations (Scopus)

Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map

Shinbrot, T., Ott, E., Grebogi, C. & Yorke, J. A., 15 Mar 1992, In : Physical Review A. 45, 6, p. 4165-4168 4 p.

Research output: Contribution to journalArticle

49 Citations (Scopus)

Using chaos to target stationary states of flows

Shinbrot, T., Grebogi, C., Ott, E. & Yorke, J. A., 5 Oct 1992, In : Physics Letters A. 169, 5, p. 349-354 6 p.

Research output: Contribution to journalArticle

133 Citations (Scopus)

Using the sensitive dependence of chaos (the ‘‘butterfly effect’’) to direct trajectories in an experimental chaotic system

Shinbrot, T., Ditto, W., Grebogi, C., Ott, E., Spano, M. & Yorke, J. A., 11 May 1992, In : Physical Review Letters. 68, 19, p. 2863-2866 4 p.

Research output: Contribution to journalArticle

1991

Chaotic Scattering in Time-Dependent Hamiltonian Systems

Lai, Y-C. & Grebogi, C., Sep 1991, In : International Journal of Bifurcation and Chaos. 1, 3, p. 667-679 13 p.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Controlling chaotic dynamical systems

Romeiras, F. J., Ott, E., Grebogi, C. & Dayawansa, W. P., 1991, Proceedings of the American Control Conference. Anon (ed.). Publ by American Automatic Control Council, Vol. 2. p. 1113-1119 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Dynamical systems
6 Citations (Scopus)

Controlling Chaotic Dynamical Systems

Romeiras, F. J., Ott, E., Grebogi, C. & Dayawansa, W. P., 1991, Proceedings of the 1991 American Control Conference. IEEE Press, p. 1112-1119 7 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

12 Citations (Scopus)

Cubic maps as models of two-dimensional antimonotonicity

Dawson, S. P. & Grebogi, C., 1991, In : Chaos, Solitons & Fractals. 1, 2, p. 137-144 8 p.

Research output: Contribution to journalArticle

Periodic Orbits
orbits
One-dimensional Maps
Regularity Conditions
Diffeomorphisms
60 Citations (Scopus)

Experimental confirmation of the scaling theory for noise-induced crises

Sommerer, J. C., Ditto, W. L., Grebogi, C., Ott, E. & Spano, M. L., 15 Apr 1991, In : Physical Review Letters. 66, 15, p. 1947-1950 4 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

EXPERIMENTAL CONFIRMATION OF THE THEORY FOR CRITICAL EXPONENTS OF CRISES

SOMMERER, J. C., DITTO, W. L., GREBOGI, C., OTT, E. & SPANO, M. L., 25 Feb 1991, In : Physics Letters A. 153, 2-3, p. 105-109 5 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

MASSIVE BIFURCATION OF CHAOTIC SCATTERING

DING, M. Z., GREBOGI, C., OTT, E. & YORKE, J. A., 18 Feb 1991, In : Physics Letters A. 153, 1, p. 21-26 6 p.

Research output: Contribution to journalArticle

Pointwise Dimension and Unstable Periodic Orbits

Grebogi, C., Ott, E. & Yorke, J. A., 1991, Essays on Classical and Quantum Dynamics: A Festschrift in Honor of Albert W.Saenz . Ellison, J. A. & Uberall, H. (eds.). Gordon & Beach, p. 57-62 6 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

78 Citations (Scopus)

SCALING LAW FOR CHARACTERISTIC TIMES OF NOISE-INDUCED CRISES

SOMMERER, J. C., OTT, E. & GREBOGI, C., 15 Feb 1991, In : Physical Review A. 43, 4, p. 1754-1769 16 p.

Research output: Contribution to journalArticle

Strange Saddles in Scattering Hamiltonian Systems

Hsu, G. H., Bleher, S., Grebogi, C. & Ott, E., 1991, em Essays on Classical and Quantum Dynamics . Gordon and Breach Science Publishers, p. 63-69

Research output: Chapter in Book/Report/Conference proceedingChapter

1990

Analyzing Chaos: A Visual Essay in Nonlinear Dynamics

Grebogi, C., Ott, E., Varosi, F. & Yorke, J. A., 1990, Energy Sciences Supercomputing. U.S. DOE National Energy Research Supercomputer Center

Research output: Chapter in Book/Report/Conference proceedingChapter

154 Citations (Scopus)

Bifurcation to chaotic scattering

Bleher, S., Grebogi, C. & OTT, E., Oct 1990, In : Physica. D, Nonlinear Phenomena. 46, 1, p. 87-121 35 p.

Research output: Contribution to journalArticle

5252 Citations (Scopus)

Controlling chaos

OTT, E., GREBOGI, C. & YORKE, J. A., 12 Mar 1990, In : Physical Review Letters. 64, 11, p. 1196-1199 4 p.

Research output: Contribution to journalArticle

Controlling Chaotic Dynamical Systems

Ott, E., Grebogi, C. & Yorke, J. A., 1990, CHAOS: Soviet-American Perspective on Nonlinear Science. American Institute of Physics, p. 153-172 20 p.

Research output: Chapter in Book/Report/Conference proceedingChapter

FRACTAL STRUCTURE IN PHYSICAL SPACE IN THE DISPERSAL OF PARTICLES IN FLUIDS

YU, L., GREBOGI, C. & OTT, E., 1990, NONLINEAR STRUCTURES IN PHYSICAL SYSTEMS. LAM, L. & MORRIS, HC. (eds.). NEW YORK: Springer-Verlag, p. 223-231 9 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

78 Citations (Scopus)

Multifractal properties of snapshot attractors of random maps

Romeiras, F. J., Grebogi, C. & Ott, E., 15 Jan 1990, In : Physical Review A. 41, 2, p. 784-799 16 p.

Research output: Contribution to journalArticle

200 Citations (Scopus)

Shadowing of physical trajectories in chaotic dynamics: Containment and refinement

Grebogi, C., Hammel, S. M., Yorke, J. A. & Sauer, T., 24 Sep 1990, In : Physical Review Letters. 65, 13, p. 1527-1530 4 p.

Research output: Contribution to journalArticle

81 Citations (Scopus)

Transition to chaotic scattering

Ding, M., Grebogi, C., Ott, E. & Yorke, J. A., 15 Dec 1990, In : Physical Review A. 42, 12, p. 7025-7040 16 p.

Research output: Contribution to journalArticle

321 Citations (Scopus)

Using chaos to direct trajectories to targets

Shinbrot, T., Ott, E., Grebogi, C. & Yorke, J. A., 24 Dec 1990, In : Physical Review Letters. 65, 26, p. 3215-3218 4 p.

Research output: Contribution to journalArticle

1989

Chaos, Strange Attractors, and Fractal Basin Boundaries

Grebogi, C., 1989, In : Transactions of the American Nuclear Society. 60, p. 346

Research output: Contribution to journalArticle

26 Citations (Scopus)

CHAOTIC ATTRACTORS ON A 3-TORUS, AND TORUS BREAK-UP

BATTELINO, P. M., GREBOGI, C., OTT, E. & YORKE, J. A., Oct 1989, In : Physica. D, Nonlinear Phenomena. 39, 2-3, p. 299-314 16 p.

Research output: Contribution to journalArticle

83 Citations (Scopus)

DIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS

DING, M. Z., GREBOGI, C. & OTT, E., 15 May 1989, In : Physics Letters A. 137, 4-5, p. 167-172 6 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

EFFECT OF ELECTROMAGNETIC-FIELDS ON CHARGED-PARTICLE BEAM LIMITING CURRENT

GREBOGI, C. & UHM, H. S., 27 Feb 1989, In : Physics Letters A. 135, 4-5, p. 280-283 4 p.

Research output: Contribution to journalArticle

154 Citations (Scopus)

Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic

Ding, M., Grebogi, C. & Ott, E., 1 Mar 1989, In : Physical Review A. 39, 5, p. 2593-2598 6 p.

Research output: Contribution to journalArticle

95 Citations (Scopus)

EXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT

DITTO, W. L., RAUSEO, S., CAWLEY, R., GREBOGI, C., HSU, G. H., KOSTELICH, E., OTT, E., SAVAGE, H. T., SEGNAN, R., SPANO, M. L. & YORKE, J. A., 28 Aug 1989, In : Physical Review Letters. 63, 9, p. 923-926 4 p.

Research output: Contribution to journalArticle

Ponderomotive effects on charged particle beam limiting current

Grebogi, C. & Uhm, H. S., 1989, Proceedings of the 1989 IEEE Particle Accelerator Conference, 1989. Accelerator Science and Technology. Bennett, F. & Kopta, J. (eds.). New York: Institute of Electrical and Electronics Engineers (IEEE), p. 1032-1034 3 p.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Citations (Scopus)

QUASIPERIODIC FORCING AND THE OBSERVABILITY OF STRANGE NONCHAOTIC ATTRACTORS

ROMEIRAS, F. J., BONDESON, A., OTT, E., ANTONSEN, T. M. & GREBOGI, C., Sep 1989, In : Physica Scripta. 40, 3, p. 442-444 3 p.

Research output: Contribution to journalArticle

109 Citations (Scopus)

ROUTES TO CHAOTIC SCATTERING

BLEHER, S., OTT, E. & GREBOGI, C., 28 Aug 1989, In : Physical Review Letters. 63, 9, p. 919-922 4 p.

Research output: Contribution to journalArticle

8 Citations (Scopus)

SCALING OF FRACTAL BASIN BOUNDARIES NEAR INTERMITTENCY TRANSITIONS TO CHAOS

PARK, B. S., GREBOGI, C., OTT, E. & YORKE, J. A., 1 Aug 1989, In : Physical Review A. 40, 3, p. 1576-1581 6 p.

Research output: Contribution to journalArticle

53 Citations (Scopus)

SPATIOTEMPORAL DYNAMICS IN A DISPERSIVELY COUPLED CHAIN OF NONLINEAR OSCILLATORS

UMBERGER, D. K., GREBOGI, C., OTT, E. & AFEYAN, B., 1 May 1989, In : Physical Review A. 39, 9, p. 4835-4842 8 p.

Research output: Contribution to journalArticle

38 Citations (Scopus)

THEORY OF 1ST ORDER PHASE-TRANSITIONS FOR CHAOTIC ATTRACTORS OF NONLINEAR DYNAMICAL-SYSTEMS

OTT, E., GREBOGI, C. & YORKE, J. A., 6 Mar 1989, In : Physics Letters A. 135, 6-7, p. 343-348 6 p.

Research output: Contribution to journalArticle

1988

BASIC SETS - SETS THAT DETERMINE THE DIMENSION OF BASIN BOUNDARIES

GREBOGI, C., NUSSE, H. E., OTT, E. & YORKE, J. A., 1988, In : Lecture notes in mathematics. 1342, p. 220-250 31 p.

Research output: Contribution to journalArticle