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The School of Natural and Computing Sciences

Professor Celso Grebogi

Professor Celso Grebogi
Professor Celso Grebogi
Professor Celso Grebogi

CEng, MS, PhD, Drhc-mult, FRSE, FTWAS, MAE, FABC, FAPS, FInstP

Sixth Century Chair in Nonlinear & Complex Systems

About
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
ORCiD
Google Scholar
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Personal Website

Biography

Professor Celso Grebogi is the Sixth Century Chair at King’s College, University of Aberdeen, UK. He is the Founder and Director of the Institute for Complex Systems and Mathematical Biology, whose work in systems biology and complex systems became a 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 previously with 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 dynamics, including fractal geometry and complex networks. His research involves bridging the gap between abstract concepts from mathematics and applications in the scientific and social disciplines, engineering, and medicine. He has made a huge impact in the area of control of chaos. The paper on this seminal work 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 450 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. He is Fellow in various scientific societies, among them the Royal Society of Edinburgh, The World Academy of Sciences, the Academia Europaea, and the Brazilian Academy of Sciences. He has 26,000 citations and h-index = 76 in the Web of Science, and 41,000 citations and h-index = 92 in Google Scholar.

 

Memberships and Affiliations

Internal Memberships

 

  • 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 Invite, Universite du Havre, 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

 

External Memberships

 

  • 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-Socieety, 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
  • Web of Science: 26,000 citations in indexed journals, h-index = 76
  • Googgle Scholar: 41,000 citations, h-index = 92

 

Research

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.

Publications

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  • Riddling of chaotic sets in periodic windows

    Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review Letters, vol. 83, no. 15, pp. 2926-2929
    Contributions to Journals: Articles

  • Border collision bifurcations in two-dimensional piecewise smooth maps (vol 59, pg 4052, 1999)

    Banerjee, S., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 60, no. 3, pp. 3450-3450
    Contributions to Journals: Articles

  • Metamorphosis of chaotic saddle

    Kapitaniak, T., Lai, Y., Grebogi, C.
    Physics Letters A, vol. 259, no. 6, pp. 445-450
    Contributions to Journals: Articles

  • Color map of Lyapunov exponents of invariant sets

    Monti, M., Pardo, W. B., Walkenstein, J. A., Rosa, E., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 9, no. 7, pp. 1459-1463
    Contributions to Journals: Articles

  • Length scales of clustering in granular gases

    Petzschmann, O., Schwarz, U., Spahn, F., Grebogi, C., Kurths, J.
    Physical Review Letters, vol. 82, no. 24, pp. 4819-4822
    Contributions to Journals: Articles

  • Modeling of coupled chaotic oscillators

    Lai, Y., Grebogi, C.
    Physical Review Letters, vol. 82, no. 24, pp. 4803-4806
    Contributions to Journals: Articles

  • The topology of fluid flow past a sequence of cylinders

    Kennedy, J., Sanjuan, M. A. F., Yorke, J. A., Grebogi, C.
    Topology and its Applications, vol. 94, no. 1-3, pp. 207-242
    Contributions to Journals: Articles

  • Communicating with chaos using two-dimensional symbolic dynamics

    Lai, Y., Bollt, E., Grebogi, C.
    Physics Letters A, vol. 255, no. 1-2, pp. 75-81
    Contributions to Journals: Articles

  • Bifurcation rigidity

    Hunt, B. R., Gallas, J. A. C., Grebogi, C., Yorke, J. A., Kocak, H.
    Physica. D, Nonlinear Phenomena, vol. 129, no. 1-2, pp. 35-56
    Contributions to Journals: Articles

  • Universal behavior in the parametric evolution of chaotic saddles

    Lai, Y., Zyczkowski, K., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 5, pp. 5261-5265
    Contributions to Journals: Articles

  • Chemical or biological activity in open chaotic flows

    Karolyi, G., Pentek, A., Toroczkai, Z., Tel, T., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 5, pp. 5468-5481
    Contributions to Journals: Articles

  • Preference of attractors in noisy multistable systems

    Kraut, S., Feudel, U., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 5, pp. 5253-5260
    Contributions to Journals: Articles

  • Border collision bifurcations in two-dimensional piecewise smooth maps

    Banerjee, S., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 4, pp. 4052-4061
    Contributions to Journals: Articles

  • Driving trajectories in complex systems

    Macau, E. E. N., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 4, pp. 4062-4070
    Contributions to Journals: Articles

  • Modeling of deterministic chaotic systems

    Lai, Y. C., Grebogi, C., Kurths, J., Lai, Y.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 3, pp. 2907-2910
    Contributions to Journals: Articles

  • Controlling Chaos

    Grebogi, C., Lai, Y. C.
    Handbook of Chaos Control. Schuster, H. G. (ed.). Wiley-VCH, pp. 1-20, 20 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Tracer dynamics in a flow of driven vortices

    Witt, A., Braun, R., Feudel, F., Grebogi, C., Kurths, J.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 59, no. 2, pp. 1605-1614
    Contributions to Journals: Articles

  • A Predictive Control Approach to the Generation and Reconstruction of Information Bearing Chaotic Signals

    Mariño, I. P., Rosa, E., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Blowout bifurcation of chaotic saddles

    Kapitaniak, T., Lai, Y., Grebogi, C.
    Discrete Dynamics in Nature and Society, vol. 3, no. 1, pp. 9-13
    Contributions to Journals: Articles

  • Controlling Transient Chaos on Chaotic Saddles

    Tél, T., Lai, Y. C., Grebogi, C.
    Controlling Chaos. Wiley, pp. 181-203, 23 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Robust chaos - The theoretical formulation and experimental evidence

    Banerjee, S., Kastha, D., Das, S., Vivek, G., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Basin bifurcation in quasiperiodically forced systems

    Feudel, U., Witt, A., Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 58, no. 3, pp. 3060-3066
    Contributions to Journals: Articles

  • The control of chaos: Theoretical schemes and experimental realizations

    Arecchi, F. T., Boccaletti, S., Ciofini, M., Meucci, R., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 8, no. 8, pp. 1643-1655
    Contributions to Journals: Articles

  • Robust chaos

    Banerjee, S., Yorke, J. A., Grebogi, C.
    Physical Review Letters, vol. 80, no. 14, pp. 3049-3052
    Contributions to Journals: Articles

  • Advection of active particles in open chaotic flows

    Toroczkai, Z., Karolyi, G., Pentek, A., Tel, T., Grebogi, C.
    Physical Review Letters, vol. 80, no. 3, pp. 500-503
    Contributions to Journals: Articles

  • Controlling Chaos in Mechanical Systems

    Barreto, E., Lai, Y. C., Grebogi, C.
    Nonlinear Dynamics of Material Processing and Manufacturing. Moon, F. (ed.). Wiley, pp. 285-302, 18 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Controlling Chaos with Applications to Nonlinear Digital Communication

    Grebogi, C., Lai, Y. C., Hayes, S.
    Chaos and Noise in Biology and Medicine: Proceedings of the International School of Biophysics. Barbi, M., Chillemi, S. (eds.). World Scientific Publishing Co. Pte Ltd, pp. 114-133, 20 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors

    Feudel, U., Grebogi, C., Poon, L., Yorke, J. A.
    Chaos, Solitons & Fractals, vol. 9, no. 1-2, pp. 171-180
    Contributions to Journals: Articles

  • Multistability and the control of complexity

    Feudel, U., Grebogi, C.
    Chaos, vol. 7, no. 4, pp. 597-604
    Contributions to Journals: Articles

  • Coding, channel capacity, and noise resistance in communicating with chaos

    Bollt, E., Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review Letters, vol. 79, no. 19, pp. 3787-3790
    Contributions to Journals: Articles

  • Unstable dimension variability: A source of nonhyperbolicity in chaotic systems

    Kostelich, E. J., Kan, I., Grebogi, C., Ott, E., Yorke, J. A.
    Physica. D, Nonlinear Phenomena, vol. 109, no. 1-2, pp. 81-90
    Contributions to Journals: Articles

  • Phase-locking in quasiperiodically forced systems

    Feudel, U., Grebogi, C., Ott, E.
    Physics Reports, vol. 290, no. 1-2, pp. 11-25
    Contributions to Journals: Articles

  • Controlling chaotic dynamical systems

    Grebogi, C., Lai, Y. C., Lai, Y.
    Systems & control letters, vol. 31, no. 5, pp. 307-312
    Contributions to Journals: Articles

  • Control and applications of chaos

    Grebogi, C., Lai, Y., Hayes, S.
    International Journal of Bifurcation and Chaos, vol. 7, no. 10, pp. 2175-2197
    Contributions to Journals: Articles

  • Controlling chaos in high dimensions

    Grebogi, C., Lai, Y. C., Lai, Y.
    IEEE Transactions on Circuits and Systems Part I: Fundamental Theory and Applications, vol. 44, no. 10, pp. 971-975
    Contributions to Journals: Articles

  • Computing the measure of nonattracting chaotic sets

    Jacobs, J., Ott, E., Grebogi, C.
    Physica. D, Nonlinear Phenomena, vol. 108, no. 1-2, pp. 111
    Contributions to Journals: Articles

  • Characterization of the natural measure by unstable periodic orbits in chaotic attractors

    Lai, Y., Nagai, Y., Grebogi, C.
    Physical Review Letters, vol. 79, no. 4, pp. 649-652
    Contributions to Journals: Articles

  • How long do numerical chaotic solutions remain valid?

    Sauer, T., Grebogi, C., Yorke, J. A.
    Physical Review Letters, vol. 79, no. 1, pp. 59-62
    Contributions to Journals: Articles

  • From high dimensional chaos to stable periodic orbits: The structure of parameter space

    Barreto, E., Hunt, B. R., Grebogi, C., Yorke, J. A.
    Physical Review Letters, vol. 78, no. 24, pp. 4561-4564
    Contributions to Journals: Articles

  • Wada dye boundaries in open hydrodynamical flows

    Toroczkai, Z., Karolyi, G., Pentek, A., Tel, T., Grebogi, C., Yorke, J. A.
    Physica. A, Statistical Mechanics and its Applications, vol. 239, no. 1-3, pp. 235-243
    Contributions to Journals: Articles

  • Extracting unstable periodic orbits from chaotic time series data

    So, P., Ott, E., Sauer, T., Gluckman, B. J., Grebogi, C., Schiff, S. J.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 55, no. 5, pp. 5398-5417
    Contributions to Journals: Articles

  • On the control of US Navy cranes

    Levinet, J., Rouchon, P., Yuan, G., Grebogi, C., Hunt, B. R., Kostelich, E., Ott, E., Yorke, J. A.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Control of chaotic impacts

    Casas, F., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 7, no. 4, pp. 951-955
    Contributions to Journals: Articles

  • Indecomposable continua in dynamical systems with noise: Fluid flow past an array of cylinders

    Sanjuan, M. A. F., Kennedy, J., Grebogi, C., Yorke, J. A.
    Chaos, vol. 7, no. 1, pp. 125-138
    Contributions to Journals: Articles

  • Noise filtering in communication with chaos

    Rosa, E., Hayes, S., Grebogi, C.
    Physical Review Letters, vol. 78, no. 7, pp. 1247-1250
    Contributions to Journals: Articles

  • Chaotic Dynamics

    Ding, M., Grebogi, C., Yorke, J. A.
    The Impact of Chaos on Science and Society. Grebogi, C., Yorke, J. A. (eds.). United Nations University Press
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Control and Applications of Chaos

    Grebogi, C., Lai, Y. C., Hayes, S.
    Visions of Nonlinear Science in the 21st Century. Pergamon
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Control and applications of chaos

    Grebogi, C., Lai, Y. C., Hayes, S., Lai, Y.
    Journal of the franklin institute-Engineering and applied mathematics, vol. 334B, no. 5-6, pp. 1115-1146
    Contributions to Journals: Articles

  • Control of chaos: Impact oscillators and targeting

    Barreto, E., Casas, F., Grebogi, C., Kostelich, E. J.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Design and Control of Shipboard Cranes

    Yuan, G., Hunt, B., Grebogi, C., Ott, E., Yorke, J. A., Kostelich, E.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Intermingled Basins and Riddling Bifurcation in Chaotic Dynamical Systems

    Lai, Y. C., Grebogi, C., Yorke, J. A.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Noise-induced riddling in chaotic systems

    Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review Letters, vol. 77, no. 25, pp. 5047-5050
    Contributions to Journals: Articles

  • Scaling behavior of transition to chaos in quasiperiodically driven dynamical systems

    Lai, Y., Feudel, U., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 54, no. 6, pp. 6070-6073
    Contributions to Journals: Articles

  • Complexity in Hamiltonian-driven dissipative chaotic dynamical systems

    Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 54, no. 5, pp. 4667-4675
    Contributions to Journals: Articles

  • Critical exponent for gap filling at crisis

    Szabo, K. G., Lai, Y. C., Tel, T., Grebogi, C.
    Physical Review Letters, vol. 77, no. 15, pp. 3102-3105
    Contributions to Journals: Articles

  • Riddling bifurcation in chaotic dynamical systems

    Lai, Y. C., Grebogi, C., Yorke, J. A., Venkataramani, S. C., Lai, Y.
    Physical Review Letters, vol. 77, no. 1, pp. 55-58
    Contributions to Journals: Articles

  • Map with more than 100 coexisting low-period periodic attractors

    Feudel, U., Grebogi, C., Hunt, B. R., Yorke, J. A.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 54, no. 1, pp. 71-81
    Contributions to Journals: Articles

  • Wada basin boundaries in chaotic scattering (vol 6, pg 252, 1996)

    Poon, L., Campos, J., Ott, E., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 6, no. 7, pp. 1409-1409
    Contributions to Journals: Articles

  • Detecting unstable periodic orbits in chaotic experimental data

    So, P., Ott, E., Schiff, S. J., Kaplan, D. T., Sauer, T., Grebogi, C.
    Physical Review Letters, vol. 76, no. 25, pp. 4705-4708
    Contributions to Journals: Articles

  • Characterizing riddled fractal sets

    Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 53, no. 2, pp. 1371-1374
    Contributions to Journals: Articles

  • Wada basin boundaries in chaotic scattering

    Poon, L., Campos, J., Ott, E., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 6, no. 2, pp. 251-265
    Contributions to Journals: Articles

  • Universal grazing bifurcations in impact oscillators

    Casas, F., Chin, W., Grebogi, C., Ott, E.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 53, no. 1, pp. 134-139
    Contributions to Journals: Articles

  • Chaos: control and communication

    Grebogi, C., Lai, Y., Hayes, S. T.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Control of shipboard cranes

    Ott, E., Kostelich, E., Yuan, G. H., Hunt, B., Grebogi, C., Yorke, J. A.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Controlling Complex Systems

    Grebogi, C., Poon, L.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Digital communication using controlled chaos: Theory and experiment

    Hayes, S., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Stabilizing Unstable Periodic Orbits in Chaotic Dynamical Systems Using Small Feedback Control

    Grebogi, C., Lai, Y. C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Using controlled chaos for digital signaling: A physical principle for 1-stage waveform synthesis

    Hayes, S., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Predictability in time series

    Salvino, L. W., Cawley, R., Grebogi, C., Yorke, J. A.
    Physics Letters A, vol. 209, no. 5-6, pp. 327-332
    Contributions to Journals: Articles

  • CONTROLLING COMPLEXITY

    POON, L., GREBOGI, C.
    Physical Review Letters, vol. 75, no. 22, pp. 4023-4026
    Contributions to Journals: Articles

  • Intermingled basins and two-state on-off intermittency

    Lai, Y., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 52, no. 4, pp. R3313-R3316
    Contributions to Journals: Articles

  • MULTIPARAMETER CONTROL OF CHAOS

    BARRETO, E., GREBOGI, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 52, no. 4, pp. 3553-3557
    Contributions to Journals: Articles

  • SPECIAL ISSUE - STRUCTURE FORMATION IN CONTINUOUS DYNAMICAL-SYSTEMS - PREFACE

    GREBOGI, C., KURTHS, J.
    Chaos, Solitons & Fractals, vol. 5, no. 10, pp. 1763-1763
    Contributions to Journals: Editorials

  • DOUBLE CRISES IN 2-PARAMETER DYNAMICAL-SYSTEMS

    STEWART, H. B., UEDA, Y., GREBOGI, C., YORKE, J. A.
    Physical Review Letters, vol. 75, no. 13, pp. 2478-2481
    Contributions to Journals: Articles

  • Self-Organization and Chaos in a Fluidized Bed

    Daw, C. S., Finney, C. E. A., Vasudevan, M., van Goor, N. A., Nguyen, K., Burns, D. D., Kostelich, E. J., Grebogi, C., OTT, E., Yorke, J. A.
    Physical Review Letters, vol. 75, no. 12, pp. 2308-2311
    Contributions to Journals: Articles

  • Universal behavior of impact oscillators near grazing incidence

    Chin, W., Ott, E., Nusse, H. E., Grebogi, C.
    Physics Letters A, vol. 201, no. 2-3, pp. 197-204
    Contributions to Journals: Articles

  • Fractal boundaries in open hydrodynamical flows: Signatures of chaotic saddles

    Péntek, ?., Toroczkai, Z., Tél, T., Grebogi, C., Yorke, J. A.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 51, no. 5, pp. 4076-4088
    Contributions to Journals: Articles

  • Efficient switching between controlled unstable periodic orbits in higher dimensional chaotic systems

    Baretto, E., Kostelich, E. J., Grebogi, C., Ott, E., Yorke, J. A.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 51, no. 5, pp. 4169-4172
    Contributions to Journals: Articles

  • Control of Chaotic Impacts

    Casas, F., Grebogi, C.
    em Nonlinear Dynamics and Chaos, pp. 241-245
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Controlling Symbolic Dynamics for Communication

    Hayes, S., Grebogi, C., Ott, E., Mark, A.
    Proceedings of the 2nd Conference on Experimental Chaos, pp. 122-129
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Double crises in two-parameter dynamical systems

    Stewart, H. B., Ueda, Y., Grebogi, C., Yorke, J. A.
    Physical Review Letters, vol. 75, no. 13, pp. 2478-2481
    Contributions to Journals: Articles

  • Shadowing in Chaotic Systems

    Poon, L., Dawson, S. P., Grebogi, C., Sauer, T., Yorke, J. A.
    em Dynamical Systems and Chaos, pp. 13-21
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Using Chaos for Digital Communication

    Hayes, S., Grebogi, C.
    em Chaos in Electrical Circuits
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • EXTREME FINAL-STATE SENSITIVITY IN INHOMOGENEOUS SPATIOTEMPORAL CHAOTIC SYSTEMS

    LAI, Y. C., GREBOGI, C., KOSTELICH, E. J., Lai, Y.
    Physics Letters A, vol. 196, no. 3-4, pp. 206-212
    Contributions to Journals: Articles

  • Grazing bifurcations in impact oscillators

    Chin, W., OTT, E., Nusse, H. E., Grebogi, C.
    Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 50, no. 6, pp. 4427-4444
    Contributions to Journals: Articles

  • LINEAR SCALING LAWS IN BIFURCATIONS OF SCALAR MAPS

    GREBOGI, C.
    Zeitschrift fur Naturforschung Section A-A Journal of Physical Sciences, vol. 49, no. 12, pp. 1207-1211
    Contributions to Journals: Articles

  • 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. 4228-4230
    Contributions to Journals: Articles

  • 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. 1927-1930
    Contributions to Journals: Articles

  • Experimental Control of Chaos for Communication

    Hayes, S., Grebogi, C., Ott, E., Mark, A.
    Physical Review Letters, vol. 73, no. 13, pp. 1781-1784
    Contributions to Journals: Articles

  • 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. 1894-1899
    Contributions to Journals: Articles

  • CONTROLLING CHAOS IN A TEMPORALLY IRREGULAR ENVIRONMENT

    DING, M. Z., OTT, E., GREBOGI, C.
    Physica. D, Nonlinear Phenomena, vol. 74, no. 3-4, pp. 386-394
    Contributions to Journals: Articles

  • CRISIS 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. 3761-3770
    Contributions to Journals: Articles

  • Converting 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. 1094-1098
    Contributions to Journals: Articles

  • CONTROL AND USE OF CHAOS

    GREBOGI, C., LAI, Y. C., Lai, Y.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • CONTROLLING TRANSIENT CHAOS IN DYNAMICAL SYSTEMS

    LAI, Y. C., GREBOGI, C., TEL, T., Lai, Y.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Controlling 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 Systems
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • ON 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 Proceedings

  • 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.
    Physica. D, Nonlinear Phenomena, vol. 69, no. 3-4, pp. 404-424
    Contributions to Journals: Articles

  • CRISIS IN CHAOTIC SCATTERING

    LAI, Y. C., GREBOGI, C., BLUMEL, R., KAN, I., Lai, Y.
    Physical Review Letters, vol. 71, no. 14, pp. 2212-2215
    Contributions to Journals: Articles

  • Conditions for the abrupt bifurcation to chaotic scattering

    Tel, T., Grebogi, C., Ott, E.
    Chaos, vol. 3, no. 4, pp. 495-503
    Contributions to Journals: Articles
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