• 26176 Citations
1977 …2020

Research output per year

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Research Output

1993

CRISIS IN CHAOTIC SCATTERING

LAI, Y. C., GREBOGI, C., BLUMEL, R., KAN, I. & Lai, Y-C., 4 Oct 1993, In : Physical Review Letters. 71, 14, p. 2212-2215 4 p.

Research output: Contribution to journalArticle

37 Citations (Scopus)

ESTIMATING CORRELATION DIMENSION FROM A CHAOTIC TIME-SERIES - WHEN DOES PLATEAU ONSET OCCUR

DING, M. Z., GREBOGI, C., OTT, E., SAUER, T. & YORKE, J. A., 15 Dec 1993, In : Physica. D, Nonlinear Phenomena. 69, 3-4, p. 404-424 21 p.

Research output: Contribution to journalArticle

171 Citations (Scopus)

Evolution of Attractor Boundaries in Two-Dimensional Noninvertible Maps

Chin, W., Kan, I. & Grebogi, C., 1993, In : Random and Computational Dynamics. 1, p. 349-370 22 p.

Research output: Contribution to journalArticle

Geometric mechanism for antimonotonicity in scalar maps with two critical points

Dawson, S. P., Grebogi, C. & Koçak, H., 1 Sep 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 48, 3, p. 1676-1682 7 p.

Research output: Contribution to journalArticle

22 Citations (Scopus)

HIGHER-DIMENSIONAL TARGETING

KOSTELICH, E. J., GREBOGI, C., OTT, E. & YORKE, J. A., Jan 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 47, 1, p. 305-310 6 p.

Research output: Contribution to journalArticle

102 Citations (Scopus)

HOW OFTEN ARE CHAOTIC SADDLES NONHYPERBOLIC

LAI, Y. C., GREBOGI, C., YORKE, J. A., KAN, I. & Lai, Y-C., Sep 1993, In : Nonlinearity. 6, 5, p. 779-797 19 p.

Research output: Contribution to journalArticle

83 Citations (Scopus)

Plateau onset for correlation dimension: When does it occur?

Ding, M., Grebogi, C., Ott, E., Sauer, T. & Yorke, J. A., 21 Jun 1993, In : Physical Review Letters. 70, 25, p. 3872-3875 4 p.

Research output: Contribution to journalArticle

151 Citations (Scopus)

STABILIZING CHAOTIC-SCATTERING TRAJECTORIES USING CONTROL

LAI, Y. C., TEL, T., GREBOGI, C. & Lai, Y-C., Aug 1993, In : Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 48, 2, p. 709-717 9 p.

Research output: Contribution to journalArticle

56 Citations (Scopus)

SYNCHRONIZATION OF A CHAOTIC OPTICAL-SYSTEM USING CONTROL

LAI, Y. C., GREBOGI, C. & Lai, Y-C., 1993, CHAOS IN COMMUNICATIONS. Pecora, LM. (ed.). BELLINGHAM: SPIE - INT SOC OPTICAL ENGINEERING, p. 91-102 12 p.

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

16 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

145 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

14 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

689 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

44 Citations (Scopus)
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

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

57 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

42 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

106 Citations (Scopus)

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

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

171 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

375 Citations (Scopus)

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

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

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

106 Citations (Scopus)

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

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

81 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

49 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

136 Citations (Scopus)
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

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

7 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

7 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

13 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

60 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

31 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

17 Citations (Scopus)

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

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

78 Citations (Scopus)

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

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

158 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

5343 Citations (Scopus)

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

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

86 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

202 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

82 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

330 Citations (Scopus)
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

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

26 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

84 Citations (Scopus)