Professor Celso Grebogi
CEng, MS, PhD, Drhc-mult, FRSE, FTWAS, MAE, FABC, FAPS, FInstP
Sixth Century Chair in Nonlinear & Complex Systems
- Email Address
- grebogi@abdn.ac.uk
- Telephone Number
- +44 (0)1224 272791
- Office Address
Institute for Complex Systems and Mathematical Biology
King's College, University of Aberdeen
Old Aberdeen AB24 3UE, UK
- School/Department
- School of Natural and Computing Sciences
Biography
Professor Celso Grebogi is the Sixth Century Chair at King’s College, University of Aberdeen, UK. He is the Founding Director of the Institute for Complex Systems and Mathematical Biology, whose work in systems biology and complex systems became leading in UK. He is the Co-founder of the Aberdeen-Lanzhou-Tempe Research Centre, whose work is in the new interdisciplinary field: Relativistic Quantum Chaos. He has been an External Scientific Member (Mitglied) of the Max-Planck-Society since 1998. He got his PhD in Theoretical Physics from the University of Maryland in 1978, Postdoc in Physics and Applied Mathematics at UC Berkeley in 1978-1981. He was at the University of Sao Paulo as Professor of Physics, and, before that, with the University of Maryland as Professor of Mathematics. He is a leading expert in chaotic and complex nonlinear dynamics, including fractal geometry and complex networks. He has made a huge impact in the area of control of chaos. His seminal paper was selected by Physical Review Letters as a milestone in the past 50 years. He was awarded the Citation Laureate - Researcher of Nobel Class - in 2016, followed by a Motion to that effect supported by the Scottish Parliament. His scientific accomplishments include over 500 publications and over 500 invited talks. He received numerous distinctions, including multiple Doctor Honoris Causa and many Honorary Professorships, the Humboldt Senior Prize, Fulbright Fellowship, and Toshiba Chair as a World-renown Scholar, the Lagrange Award, the Max-Planck-Society Badge of Honour, and the James Yorke Award. He is Fellow in various scientific societies, including the Royal Society of Edinburgh, The World Academy of Sciences, the Academia Europaea, the Brazilian Academy of Sciences, The American Physical Society and the UK Institute of Physics. He has 32,000 citations and h-index = 84 in Scopus, and 47,000 citations and h-index = 96 in Google Scholar.
Memberships and Affiliations
- BSc, Chemical Engineering, Federal University of Parana, 1970
- Adjunct Professor, Pontifical Catholic University, 1971-1974
- M.S., Physics, University of Maryland 1975
- Ph.D., Physics, University of Maryland, 1978
- Post-doctoral Research Fellow, University of California at Berkeley, 1978-1981
- Research Scientist, University of Maryland, 1981-1990
- Associate Professor of Mathematics, University of Maryland, 1990-1993
- Full Professor of Mathematics, University of Maryland, 1993-2001
- Consultant for the US Navy, 1983-1995
- Visiting Scientist, University of California at Santa Barbara, 1984
- Consultant, Lawrence Livermore National Laboratory, 1984-1985
- Consultant, Science Applications International, 1986-1988
- Visiting Scholar, Waseda University, 1996
- Visiting Professor, University of Potsdam, 1996-1997
- External Scientific Member (Mitglied), Max-Planck-Society, since 1998
- Professeur Invité, Université du Le Havre Normandie, 2001
- Professor Titular, University of Sao Paulo, 2001-2005
- Sixth Century Chair in Nonlinear and Complex Systems, University of Aberdeen, since 2005
- Director of the Nonlinear Dynamics and Complex Systems Group. The Northern Research Partnership of Scottish Universities, 2007-2010
- Founding Director of the Institute for Complex Systems and Mathematical Biology, since 2009
- Visiting Professor, Institute of Medical Engineering, Xi'an Jiaotong University, 2010-2013
- Senior Fellow of the Freiburg Institute for Advanced Studies, 2011-2013
- Co-founder of the Aberdeen-Lanzhou-Tempe Joint Research Centre for Computation and Complexity, 2012
- Visiting Professor, Xi'an University of Technology, since 2017
- Fellow of the American Physical Society, 1991
- Fellow of the Brazilian Academy of Sciences, 2003
- Fellow of The World Academy of Sciences (TWAS/UNESCO), 2004
- Fellow of the Institute of Physics (UK), 2011
- Fellow of the Royal Society of Edinburgh, 2012
- Member of the Academia Europaea, 2019
- External Scientific Member (Mitglied), Max-Planck-Society, since 1998
- Honorary Member of the International Physics and Control Society, 2009
- Member of over a two dozen Editorial Boards and Associate Editorships over the years
- Membership in various scientific societies
Prizes and Awards
- Fulbright Fellowship Award, 1974
- Distinguished Scientist Lecturer, Carnegie Mellon University, 1989
- Toshiba Chair as World-renowned Scholar, 1995
- Awarded the North British Differential Equations Lecture Tour, 1996
- Senior Humboldt Prize, 1996
- Distinguished Faculty Research Fellow Award, University of Maryland, 1996
- Doctor Honoris Causa, University of Potsdam, Germany, 1997
- Humboldt Prize Revisited Award, 2003
- Controlling Chaos, Physical Review Letters selected it as a milestone in the past 50 years, 2008
- Honorary Professorship, Xi'an University of Technology, China, 2012
- Honorary Pofessorship, Lanzhou University, China, 2012
- Doctor Honoris Causa, Le Havre Normandie University, France, 2014
- Honorary Professorship, Xi'an Jiaotong University, China, 2015
- Awarded the Citation Laureate - Researcher of Nobel Class, 2016
- Motion S5M-01678 supported in the Scottish Parliament: "Aberdeen Academic Included in Citation Laureate", 27/09/2016
- Honorary Professorship, Tianjin University, China, 2018
- Honorary Expert, Weifang/Weicheng City, Shandong, China, 2018
- Honorary Professorship, Huaqiao Unviversity, China, 2018
- Honorary Expert, National Institute of Metrology, Yantai, China, 2019
- Burgess of Guild, The Burgesses of Guild of the City and Royal Burgh of Aberdeen, Scotland, 2022
- Badge of Honour from the President of the Max-Planck-Society, 22 June 2023
- Lagrange Award for Lifetime Achievement in Nonlinear Physical Science, 10 July 2023
- James Yorke Award for for breakthrough achievements in Nonlinear Dynamics and Chaos, 22 June 2024
- Scopus: 32,000 citations in indexed journals, h-index = 84
- Google Scholar: 47,000 citations, h-index = 96
Research Overview
Dynamics of nonlinear and complex systems including chaotic dynamics, fractal geometry, systems biology, population dynamics, neurodynamics, fluid advection, relativistic quantum nonlinear dynamics, and nanosystems.
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Crisis control: Preventing chaos-induced capsizing of a ship
Ding, M., Ott, E., Grebogi, C.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 50, no. 5, pp. 4228-4230Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.50.4228
OBSTRUCTIONS TO SHADOWING WHEN A LYAPUNOV EXPONENT FLUCTUATES ABOUT ZERO
DAWSON, S., GREBOGI, C., SAUER, T., YORKE, J. A.Physical Review Letters, vol. 73, no. 14, pp. 1927-1930Contributions to Journals: ArticlesExperimental Control of Chaos for Communication
Hayes, S., Grebogi, C., Ott, E., Mark, A.Physical Review Letters, vol. 73, no. 13, pp. 1781-1784Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.73.1781
SYNCHRONIZATION OF SPATIOTEMPORAL CHAOTIC SYSTEMS BY FEEDBACK-CONTROL
LAI, Y. C., GREBOGI, C., Lai, Y.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 50, no. 3, pp. 1894-1899Contributions to Journals: ArticlesCONTROLLING CHAOS IN A TEMPORALLY IRREGULAR ENVIRONMENT
DING, M. Z., OTT, E., GREBOGI, C.Physica. D, Nonlinear Phenomena, vol. 74, no. 3-4, pp. 386-394Contributions to Journals: ArticlesCRISIS AND ENHANCEMENT OF CHAOTIC SCATTERING
LAI, Y. C., GREBOGI, C., Lai, Y.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 49, no. 5, pp. 3761-3770Contributions to Journals: ArticlesConverting transient chaos into sustained chaos by feedback control
Lai, Y., Grebogi, C.Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 49, no. 2, pp. 1094-1098Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.49.1094
CONTROL AND USE OF CHAOS
GREBOGI, C., LAI, Y. C., Lai, Y.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsCONTROLLING TRANSIENT CHAOS IN DYNAMICAL SYSTEMS
LAI, Y. C., GREBOGI, C., TEL, T., Lai, Y.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsControlling Chaos in Dynamical Systems
Grebogi, C., Lai, Y. C.Proceedings of the Fifth International Conference on Information Processing and Management of Uncertainty in Knowledge-based SystemsChapters in Books, Reports and Conference Proceedings: ChaptersON THE TENDENCY TOWARD ERGODICITY WITH INCREASING NUMBER OF DEGREES OF FREEDOM IN HAMILTONIAN SYSTEMS
HURD, L., GREBOGI, C., OTT, E.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsESTIMATING CORRELATION DIMENSION FROM A CHAOTIC TIME-SERIES - WHEN DOES PLATEAU ONSET OCCUR
DING, M. Z., GREBOGI, C., OTT, E., SAUER, T., YORKE, J. A.Physica. D, Nonlinear Phenomena, vol. 69, no. 3-4, pp. 404-424Contributions to Journals: ArticlesCRISIS IN CHAOTIC SCATTERING
LAI, Y. C., GREBOGI, C., BLUMEL, R., KAN, I., Lai, Y.Physical Review Letters, vol. 71, no. 14, pp. 2212-2215Contributions to Journals: ArticlesConditions for the abrupt bifurcation to chaotic scattering
Tel, T., Grebogi, C., Ott, E.Chaos, vol. 3, no. 4, pp. 495-503Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.165955
Geometric mechanism for antimonotonicity in scalar maps with two critical points
Dawson, S. P., Grebogi, C., Koçak, H.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 48, no. 3, pp. 1676-1682Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevE.48.1676
- [ONLINE] View publication in Scopus
GEOMETRIC MECHANISM FOR ANTIMONOTONICITY IN SCALAR MAPS WITH 2 CRITICAL-POINTS
DAWSON, S. P., GREBOGI, C., KOCAK, H.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 48, no. 3, pp. 1676-1682Contributions to Journals: ArticlesHOW OFTEN ARE CHAOTIC SADDLES NONHYPERBOLIC
LAI, Y. C., GREBOGI, C., YORKE, J. A., KAN, I., Lai, Y.Nonlinearity, vol. 6, no. 5, pp. 779-797Contributions to Journals: ArticlesVertices in parameter space: Double crises which destroy chaotic attractors
Gallas, J. A. C., Grebogi, C., Yorke, J. A.Physical Review Letters, vol. 71, no. 9, pp. 1359-1362Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.71.1359
STABILIZING CHAOTIC-SCATTERING TRAJECTORIES USING CONTROL
LAI, Y. C., TEL, T., GREBOGI, C., Lai, Y.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 48, no. 2, pp. 709-717Contributions to Journals: ArticlesPlateau onset for correlation dimension: When does it occur?
Ding, M., Grebogi, C., Ott, E., Sauer, T., Yorke, J. A.Physical Review Letters, vol. 70, no. 25, pp. 3872-3875Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.70.3872
Using small perturbations to control chaos
Shinbrot, T., Grebogi, C., Yorke, J. A., Ott, E.Nature, vol. 363, no. 6428, pp. 411-417Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1038/363411a0
Communicating with chaos
Hayes, S., Grebogi, C., Ott, E.Physical Review Letters, vol. 70, no. 20, pp. 3031-3034Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.70.3031
SYNCHRONIZATION OF CHAOTIC TRAJECTORIES USING CONTROL
LAI, Y. C., GREBOGI, C., Lai, Y.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 47, no. 4, pp. 2357-2360Contributions to Journals: ArticlesTEMPORAL CROSSOVER FROM CLASSICAL TO QUANTUM BEHAVIOR - A MARKOV-CHAIN APPROACH
LAI, Y. C., OTT, E., GREBOGI, C., Lai, Y.Physics Letters A, vol. 173, no. 2, pp. 148-152Contributions to Journals: ArticlesControlling Hamiltonian Chaos
Lai, Y., Ding, M., Grebogi, C.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 47, no. 1, pp. 86-92Contributions to Journals: ArticlesHIGHER-DIMENSIONAL TARGETING
KOSTELICH, E. J., GREBOGI, C., OTT, E., YORKE, J. A.Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 47, no. 1, pp. 305-310Contributions to Journals: ArticlesCODING INFORMATION IN THE NATURAL COMPLEXITY OF CHAOS
HAYES, S., GREBOGI, C.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsCONTROLLING CHAOS IN HAMILTONIAN-SYSTEMS
LAI, Y. C., DING, M. Z., GREBOGI, C., Lai, Y.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsEvolution of Attractor Boundaries in Two-Dimensional Noninvertible Maps
Chin, W., Kan, I., Grebogi, C.Random and Computational Dynamics, vol. 1, pp. 349-370Contributions to Journals: ArticlesSYNCHRONIZATION OF A CHAOTIC OPTICAL-SYSTEM USING CONTROL
LAI, Y. C., GREBOGI, C., Lai, Y.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsCONTROLLING CHAOS IN HIGH DIMENSIONAL SYSTEMS
AUERBACH, D., GREBOGI, C., OTT, E., YORKE, J. A.Physical Review Letters, vol. 69, no. 24, pp. 3479-3482Contributions to Journals: ArticlesAlgebraic decay and fluctuations of the decay exponent in Hamiltonian systems
Lai, Y., Ding, M., Grebogi, C., Blümel, R.Physical Review A, vol. 46, no. 8, pp. 4661-4669Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.46.4661
Using chaos to target stationary states of flows
Shinbrot, T., Grebogi, C., Ott, E., Yorke, J. A.Physics Letters A, vol. 169, no. 5, pp. 349-354Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0375-9601(92)90239-I
CONTROLLING CHAOTIC DYNAMIC-SYSTEMS
ROMEIRAS, F. J., GREBOGI, C., OTT, E., DAYAWANSA, W. P.Physica. D, Nonlinear Phenomena, vol. 58, no. 1-4, pp. 165-192Contributions to Journals: ArticlesAbrupt Dimension Changes at Basin Boundary Metamorphoses
Park, B. S., Grebogi, C., Lai, Y.International Journal of Bifurcation and Chaos, vol. 2, no. 3, 533-541Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127492000689
QUANTUM MANIFESTATIONS OF CHAOTIC SCATTERING
LAI, Y. C., BLUMEL, R., OTT, E., GREBOGI, C., Lai, Y.Physical Review Letters, vol. 68, no. 24, pp. 3491-3494Contributions to Journals: ArticlesAlgebraic decay and phase-space metamorphoses in microwave ionization of hydrogen Rydberg atoms
Lai, Y., Grebogi, C., Blümel, R., Ding, M.Physical Review A, vol. 45, no. 11, pp. 8284-8287Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.45.8284
Chaos in a Double Pendulum
Shinbrot, T., Grebogi, C., Wisdom, J., Yorke, J. A.American Journal of Physics, vol. 60, no. 6, pp. 491-499Contributions to Journals: ArticlesDetermination of Crisis Parameter Values by Direct Observation of Manifold Tangencies
Sommerer, J. C., Grebogi, C.International Journal of Bifurcation and Chaos, vol. 2, no. 2, pp. 383-396Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127492000367
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.Physical Review Letters, vol. 68, no. 19, pp. 2863-2866Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.68.2863
Using Chaos to Direct Orbits to Targets in Systems Describable by a One-Dimensional Map
Shinbrot, T., Ott, E., Grebogi, C., Yorke, J. A.Physical Review A, vol. 45, no. 6, pp. 4165-4168Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.45.4165
Antimonotonicity: inevitable reversals of period-doubling cascades
Dawson, S. P., Grebogi, C., Yorke, J. A., Kan, I., Kocak, H.Physics Letters A, vol. 162, no. 3, pp. 249-254Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0375-9601(92)90442-O
FEEDBACK-CONTROL OF CHAOTIC SYSTEMS
ROMEIRAS, F. J., GREBOGI, C., OTT, E., DAYAWANSA, W. P.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsSUDDEN CHANGE IN THE SIZE OF CHAOTIC ATTRACTORS - HOW DOES IT OCCUR
LAI, Y. C., GREBOGI, C., YORKE, J. A., Lai, Y.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsChaotic Scattering in Time-Dependent Hamiltonian Systems
Lai, Y., Grebogi, C.International Journal of Bifurcation and Chaos, vol. 1, no. 3, pp. 667-679Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1142/S0218127491000488
Experimental confirmation of the scaling theory for noise-induced crises
Sommerer, J. C., Ditto, W. L., Grebogi, C., Ott, E., Spano, M. L.Physical Review Letters, vol. 66, no. 15, pp. 1947-1950Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.66.1947
EXPERIMENTAL CONFIRMATION OF THE THEORY FOR CRITICAL EXPONENTS OF CRISES
SOMMERER, J. C., DITTO, W. L., GREBOGI, C., OTT, E., SPANO, M. L.Physics Letters A, vol. 153, no. 2-3, pp. 105-109Contributions to Journals: ArticlesMASSIVE BIFURCATION OF CHAOTIC SCATTERING
DING, M. Z., GREBOGI, C., OTT, E., YORKE, J. A.Physics Letters A, vol. 153, no. 1, pp. 21-26Contributions to Journals: ArticlesSCALING LAW FOR CHARACTERISTIC TIMES OF NOISE-INDUCED CRISES
SOMMERER, J. C., OTT, E., GREBOGI, C.Physical Review A, vol. 43, no. 4, pp. 1754-1769Contributions to Journals: ArticlesControlling Chaotic Dynamical Systems
Romeiras, F. J., Ott, E., Grebogi, C., Dayawansa, W. P.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsControlling chaotic dynamical systems
Romeiras, F. J., Ott, E., Grebogi, C., Dayawansa, W. P.Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] View publication in Scopus
Cubic maps as models of two-dimensional antimonotonicity
Dawson, S. P., Grebogi, C.Chaos, Solitons & Fractals, vol. 1, no. 2, pp. 137-144Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0960-0779(91)90004-S
- [ONLINE] View publication in Scopus
Pointwise Dimension and Unstable Periodic Orbits
Grebogi, C., Ott, E., Yorke, J. A.Essays on Classical and Quantum Dynamics: A Festschrift in Honor of Albert W.Saenz. Ellison, J., Uberall, H. (eds.). Gordon & Beach, pp. 57-62, 6 pagesChapters in Books, Reports and Conference Proceedings: ChaptersStrange Saddles in Scattering Hamiltonian Systems
Hsu, G. H., Bleher, S., Grebogi, C., Ott, E.em Essays on Classical and Quantum Dynamics. Gordon and Breach Science Publishers, pp. 63-69Chapters in Books, Reports and Conference Proceedings: ChaptersUsing chaos to direct trajectories to targets
Shinbrot, T., Ott, E., Grebogi, C., Yorke, J. A.Physical Review Letters, vol. 65, no. 26, pp. 3215-3218Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.65.3215
Transition to chaotic scattering
Ding, M., Grebogi, C., Ott, E., Yorke, J. A.Physical Review A, vol. 42, no. 12, pp. 7025-7040Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.42.7025
Bifurcation to chaotic scattering
Bleher, S., Grebogi, C., OTT, E.Physica. D, Nonlinear Phenomena, vol. 46, no. 1, pp. 87-121Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0167-2789(90)90114-5
Shadowing of physical trajectories in chaotic dynamics: Containment and refinement
Grebogi, C., Hammel, S. M., Yorke, J. A., Sauer, T.Physical Review Letters, vol. 65, no. 13, pp. 1527-1530Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.65.1527
Controlling chaos
OTT, E., GREBOGI, C., YORKE, J. A.Physical Review Letters, vol. 64, no. 11, pp. 1196-1199Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.64.1196
Multifractal properties of snapshot attractors of random maps
Romeiras, F. J., Grebogi, C., Ott, E.Physical Review A, vol. 41, no. 2, pp. 784-799Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.41.784
Analyzing Chaos: A Visual Essay in Nonlinear Dynamics
Grebogi, C., Ott, E., Varosi, F., Yorke, J. A.Energy Sciences Supercomputing. U.S. DOE National Energy Research Supercomputer CenterChapters in Books, Reports and Conference Proceedings: ChaptersControlling Chaotic Dynamical Systems
Ott, E., Grebogi, C., Yorke, J. A.CHAOS: Soviet-American Perspective on Nonlinear Science. American Institute of Physics, pp. 153-172, 20 pagesChapters in Books, Reports and Conference Proceedings: ChaptersFRACTAL STRUCTURE IN PHYSICAL SPACE IN THE DISPERSAL OF PARTICLES IN FLUIDS
YU, L., GREBOGI, C., OTT, E.Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsCHAOTIC ATTRACTORS ON A 3-TORUS, AND TORUS BREAK-UP
BATTELINO, P. M., GREBOGI, C., OTT, E., YORKE, J. A.Physica. D, Nonlinear Phenomena, vol. 39, no. 2-3, pp. 299-314Contributions to Journals: ArticlesQUASIPERIODIC FORCING AND THE OBSERVABILITY OF STRANGE NONCHAOTIC ATTRACTORS
ROMEIRAS, F. J., BONDESON, A., OTT, E., ANTONSEN, T. M., GREBOGI, C.Physica Scripta, vol. 40, no. 3, pp. 442-444Contributions to Journals: ArticlesEXPERIMENTAL-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.Physical Review Letters, vol. 63, no. 9, pp. 923-926Contributions to Journals: ArticlesROUTES TO CHAOTIC SCATTERING
BLEHER, S., OTT, E., GREBOGI, C.Physical Review Letters, vol. 63, no. 9, pp. 919-922Contributions to Journals: ArticlesSCALING OF FRACTAL BASIN BOUNDARIES NEAR INTERMITTENCY TRANSITIONS TO CHAOS
PARK, B. S., GREBOGI, C., OTT, E., YORKE, J. A.Physical Review A, vol. 40, no. 3, pp. 1576-1581Contributions to Journals: ArticlesDIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS
DING, M. Z., GREBOGI, C., OTT, E.Physics Letters A, vol. 137, no. 4-5, pp. 167-172Contributions to Journals: ArticlesSPATIOTEMPORAL DYNAMICS IN A DISPERSIVELY COUPLED CHAIN OF NONLINEAR OSCILLATORS
UMBERGER, D. K., GREBOGI, C., OTT, E., AFEYAN, B.Physical Review A, vol. 39, no. 9, pp. 4835-4842Contributions to Journals: ArticlesTHEORY OF 1ST ORDER PHASE-TRANSITIONS FOR CHAOTIC ATTRACTORS OF NONLINEAR DYNAMICAL-SYSTEMS
OTT, E., GREBOGI, C., YORKE, J. A.Physics Letters A, vol. 135, no. 6-7, pp. 343-348Contributions to Journals: ArticlesEvolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic
Ding, M., Grebogi, C., Ott, E.Physical Review A, vol. 39, no. 5, pp. 2593-2598Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.39.2593
EFFECT OF ELECTROMAGNETIC-FIELDS ON CHARGED-PARTICLE BEAM LIMITING CURRENT
GREBOGI, C., UHM, H. S.Physics Letters A, vol. 135, no. 4-5, pp. 280-283Contributions to Journals: ArticlesChaos, Strange Attractors, and Fractal Basin Boundaries
Grebogi, C.Transactions of the American Nuclear Society, vol. 60, pp. 346Contributions to Journals: ArticlesPonderomotive effects on charged particle beam limiting current
Grebogi, C., Uhm, H. S.Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] DOI: https://doi.org/10.1109/PAC.1989.73344
Calculation of limiting current in connection with application to gyrotron
Uhm, H. S., Grebogi, C.Proceedings of SPIE, vol. 1039, pp. 233-234Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1117/12.978421
- [ONLINE] View publication in Scopus
Roundoff-induced periodicity and the correlation dimension of chaotic attractors
Grebogi, C., Ott, E., Yorke, J. A.Physical Review A, vol. 38, no. 7, pp. 3688-3692Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.38.3688
Numerical orbits of chaotic processes represent true orbits
Hammel, S. M., Yorke, J. A., Grebogi, C.Bulletin of the American Mathematical Society, vol. 19, no. 2, pp. 465-469Contributions to Journals: ArticlesMULTIPLE COEXISTING ATTRACTORS, BASIN BOUNDARIES AND BASIC SETS
BATTELINO, P. M., GREBOGI, C., OTT, E., YORKE, J. A., YORKE, E. D.Physica. D, Nonlinear Phenomena, vol. 32, no. 2, pp. 296-305Contributions to Journals: ArticlesFractal boundaries for exit in Hamiltonian dynamics
Bleher, S., Grebogi, C., Ott, E., Brown, R.Physical Review A, vol. 38, no. 2, pp. 930-938Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.38.930
CRITICAL EXPONENTS FOR POWER-SPECTRA SCALING AT MERGINGS OF CHAOTIC BANDS
ROMEIRAS, F., GREBOGI, C., OTT, E.Physical Review A, vol. 38, no. 1, pp. 463-468Contributions to Journals: ArticlesENHANCEMENT OF LIMITING CURRENT OF CHARGED-PARTICLE BEAMS BY PONDEROMOTIVE ENERGY
GREBOGI, C., UHM, H. S.Physics of Fluids, vol. 31, no. 5, pp. 1277-1279Contributions to Journals: ArticlesUnstable periodic orbits and the dimensions of multifractal chaotic attractors
Grebogi, C., Ott, E., Yorke, J. A.Physical Review A, vol. 37, no. 5, pp. 1711-1724Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevA.37.1711
Strange saddles and the dimensions of their invariant-manifolds
Hsu, G. H., Ott, E., Grebogi, C.Physics Letters A, vol. 127, no. 4, pp. 199-204Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0375-9601(88)90102-8
BASIC SETS - SETS THAT DETERMINE THE DIMENSION OF BASIN BOUNDARIES
GREBOGI, C., NUSSE, H. E., OTT, E., YORKE, J. A.Lecture notes in mathematics, vol. 1342, pp. 220-250Contributions to Journals: ArticlesCRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY
GREBOGI, C., OTT, E., ROMEIRAS, F., YORKE, J. A.Physical Review A, vol. 36, no. 11, pp. 5365-5380Contributions to Journals: ArticlesBasin boundary metamorphoses: Changes in accessible boundary orbits
Grebogi, C., Ott, E., Yorke, J. A.Nuclear Physics B (Proceedings Supplements), vol. 2, no. C, pp. 281-300Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0920-5632(87)90024-7
- [ONLINE] View publication in Scopus
THE GOODNESS OF ERGODIC ADIABATIC INVARIANTS
BROWN, R., OTT, E., GREBOGI, C.Journal of Statistical Physics, vol. 49, no. 3-4, pp. 511-550Contributions to Journals: ArticlesChaos, strange attractors, and fractal basin boundaries in nonlinear dynamics
Grebogi, C., Ott, E., Yorke, J. A.Science, vol. 238, no. 4827, pp. 632-638Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1126/science.238.4827.632
Unstable periodic orbits and the dimension of chaotic attractors
Grebogi, C., Ott, E., Yorke, J. A.Physical Review A, vol. 36, no. 7, pp. 3522-3524Contributions to Journals: ArticlesERGODIC ADIABATIC INVARIANTS OF CHAOTIC SYSTEMS
BROWN, R., OTT, E., GREBOGI, C.Physical Review Letters, vol. 59, no. 11, pp. 1173-1176Contributions to Journals: ArticlesSIMPLICIAL APPROXIMATION OF POINCARE MAPS OF DIFFERENTIAL-EQUATIONS
VAROSI, F., GREBOGI, C., YORKE, J. A.Physics Letters A, vol. 124, no. 1-2, pp. 59-64Contributions to Journals: ArticlesDo numerical orbits of chaotic dynamical processes represent true orbits?
Hammel, S. M., Yorke, J. A., Grebogi, C.Journal of Complexity, vol. 3, no. 2, pp. 136-145Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0885-064X(87)90024-0
- [ONLINE] View publication in Scopus
FRACTAL BASIN BOUNDARIES WITH UNIQUE DIMENSION
GREBOGI, C., OTT, E., YORKE, J. A., NUSSE, H. E.Annals of the New York Academy of Sciences, vol. 497, pp. 117-126Contributions to Journals: ArticlesBasin boundary metamorphoses: Changes in accessible boundary orbits
Grebogi, C., Ott, E., Yorke, J. A.Physica. D, Nonlinear Phenomena, vol. 24, no. 1-3, pp. 243-262Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1016/0167-2789(87)90078-9
Fractal basin boundaries
Grebogi, C., Ott, E., Yorke, J. A.Lecture Notes in Physics, vol. 278, pp. 28-32Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1007/3-540-17894-5_311
MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES - BASIN STRUCTURE OF THE KICKED DOUBLE ROTOR
GREBOGI, C., KOSTELICH, E., OTT, E., YORKE, J. A.Physica. D, Nonlinear Phenomena, vol. 25, no. 1-3, pp. 347-360Contributions to Journals: ArticlesPonderomotive Enhancement of Charged Particle Beam Limiting Current
Grebogi, C., Uhm, H. S.Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] View publication in Scopus
QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS
ROMEIRAS, F. J., BONDESON, A., OTT, E., ANTONSEN, T. M., GREBOGI, C.Physica. D, Nonlinear Phenomena, vol. 26, no. 1-3, pp. 277-294Contributions to Journals: ArticlesMULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES AND THE KICKED DOUBLE ROTOR
GREBOGI, C., KOSTELICH, E., OTT, E., YORKE, J. A.Physics Letters A, vol. 118, no. 9, pp. 448-452Contributions to Journals: Articles
