51cg

People

Professor Celso Grebogi

Professor Celso Grebogi
Professor Celso Grebogi
Professor Celso Grebogi

PhD Drhc-mult FRSE FTWAS MAE FABC FAPS FInstP FAAIA

Sixth Century Chair in Nonlinear & Complex Systems

51cg
Email Address
grebogi@abdn.ac.uk
Telephone Number
+44 (0)1224 272791
Office Address

Institute for Complex Systems and Mathematical Biology

King's College, 51cg

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, 51cg, 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 a Visiting Professor at Xi’an University of Technology and the Co-founder of the Aberdeen-Lanzhou-Tempe Research Centre, working in 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 whose 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 accomplishments include over 500 publications and over 500 invited talks. His numerous distinctions include 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,  the UK Institute of Physics, and the Asia-Pacific Artificial Intelligence Association. He has 33,400 citations and h-index = 84 in Scopus, and 49,200 citations and h-index = 97 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 Invité, Université du Le Havre Normandie, 2001
  • Professor Titular, University of Sao Paulo, 2001-2005
  • Sixth Century Chair in Nonlinear and Complex Systems, 51cg, 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-Society, since 1998
  • Honorary Member of the International Physics and Control Society, 2009
  • Fellow of Asia-Pacific Artificial Intelligence Association, 2025
  • 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: 33,400 citations in indexed journals, h-index = 84
  • Google Scholar: 49,000 citations, h-index = 96

 

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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  • Nonlinear dynamics: a brief introduction

    de Moura, A. P. S., Grebogi, C.
    Handbook of Statistical Systems Biology. Stumpf, M., Girolami, M., Balding, D. (eds.). Wiley-Blackwell, pp. 331-338
    Chapters in Books, Reports and Conference Proceedings: Chapters
    • [ONLINE] DOI:
    • [OPEN ACCESS]
    • [ONLINE]

  • Abnormal electron paths induced by Klein tunneling in graphene quantum point contacts

    Yang, R., Huang, L., Lai, Y., Grebogi, C.
    Physical Review B Condensed Matter and Materials Physics , vol. 84, no. 3, 035426
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Quantum chaotic scattering in graphene systems

    Yang, R., Huang, L., Lai, Y., Grebogi, C.
    Europhysics Letters, vol. 94, no. 4, 40004
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Predicting Catastrophes in Nonlinear Dynamical Systems by Compressive Sensing

    Wang, W., Yang, R., Lai, Y., Kovanis, V., Grebogi, C.
    Physical Review Letters, vol. 106, no. 15, 154101
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Characteristics of level-spacing statistics in chaotic graphene billiards

    Huang, L., Lai, Y., Grebogi, C.
    Chaos, vol. 21, no. 1, 013102
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [ONLINE]

  • A matter of life or death: modeling DNA damage and repair in bacteria

    Karschau, J., de Almeida, C., Richard, M. C., Miller, S., Booth, I. R., Grebogi, C., de Moura, A. P. S.
    Biophysical Journal, vol. 100, no. 4, pp. 814-821
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Pattern formation, synchronization, and outbreak of biodiversity in cyclically competing games

    Wang, W., Ni, X., Lai, Y., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 83, no. 1, 011917
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Collective response of self-organized clusters of mechanosensitive channels

    Guseva, K., Thiel, M., Miller, S., Grebogi, C., de Moura, A. P. S., Booth, I.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 83, no. 2, 020901(R)
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Dynamics: A Brief Introduction

    Moura, A., Grebogi, C.
    Handbook of Statistical Systems Biology. Stumpf, M., Balding, D. J., Girolami, M. (eds.). Wiley
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Pattern formation, synchronisation, and outbreak of biodiversity in cyclically competing games

    Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 83, no. 1, 011917
    Contributions to Journals: Articles

  • Fractal structures in stenoses and aneurysms in blood vessels

    Schelin, A. B., Karolyi, G., de Moura, A. P. S., Booth, N. A., Grebogi, C.
    Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 368, no. 1933, pp. 5605-5617
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Cyclic competition of mobile species on continuous space: pattern formation and coexistence

    Ni, X., Wang, W., Lai, Y., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 6, 066211
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Basins of coexistence and extinction in spatially extended ecosystems of cyclically competing species

    Ni, X., Yang, R., Wang, W., Lai, Y., Grebogi, C.
    Chaos, vol. 20, no. 4, 045116
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Introduction to Focus Issue: Dynamics in Systems Biology

    Brackley, C. A., Ebenhoeh, O., Grebogi, C., Kurths, J., de Moura, A., Romano, M. C., Thiel, M.
    Chaos, vol. 20, no. 4, 045101
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Escape from attracting sets in randomly perturbed systems

    Rodrigues, C. S., Grebogi, C., de Moura, A. P. S.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 4, 046217
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • Combined effect of chemical and electrical synapses in Hindmarsh-Rose neural networks on synchronization and the rate of information

    Baptista, M. D. S., Kakmeni, F. M., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 3, pp. 036203
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Random fluctuation leads to forbidden escape of particles

    Rodrigues, C., de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 82, no. 2, 026211
    Contributions to Journals: Articles
    • [ONLINE]
    • [ONLINE] DOI:

  • Limited resources in a driven diffusion process

    Brackley, C. A., Romano, M. C., Grebogi, C., Thiel, M.
    Physical Review Letters, vol. 105, no. 7, 078102
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Role of intraspecific competition in the coexistence of mobile populations in spatially extended ecosystems

    Yang, R., Wang, W., Lai, Y., Grebogi, C.
    Chaos, vol. 20, no. 2, 023113
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Relativistic quantum level-spacing statistics in chaotic graphene billiards

    Huang, L., Lai, Y., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 81, no. 5, 055203
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Effect of epidemic spreading on species coexistence in spatial rock-paper-scissors games

    Wang, W., Lai, Y., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 81, no. 4, 046113
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Extensively chaotic motion in electrostatically-driven nanowires and applications

    Chen, Q., Huang, L., Lai, Y., Grebogi, C., Dietz, D.
    IET Micro & Nano Letters, vol. 10, no. 2, pp. 406-413
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Preface: Recent Progress in Controlling Chaos

    Sanjuán, M. A., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Forewords and Postscripts
    • [ONLINE] DOI:
    • [ONLINE]

  • Recent Progress In Controlling Chaos

    Sanjuán, M. A., Grebogi, C.
    World Scientific Publishing Co. Pte Ltd. 440 pages
    Books and Reports: Books
    • [ONLINE] DOI:
    • [ONLINE]

  • Emerging attractors and the transition from dissipative to conservative dynamics

    Rodrigues, C. S., de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 80, no. 2, 026205
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Chaotic advection in blood flow

    Schelin, A. B., Karolyi, G., de Moura, A. P. S., Booth, N. A., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 80, no. 1, 016213
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Queueing phase transition: Theory of Translation

    Romano, M. C., Thiel, M., Stansfield, I., Grebogi, C.
    Physical Review Letters, vol. 102, no. 19, 198104
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Modeling Experimental Nonlinear Dynamics and Chaotic Scenarios

    Castilho Piqueira, J. R., Neher Macau, E. E., Grebogi, C.
    Mathematical Problems in Engineering, vol. 2009, 285172
    Contributions to Journals: Editorials
    • [ONLINE] DOI:

  • Finite-size particles, advection, and chaos: A collective phenomenon of intermittent bursting (vol 78, art no 056206, 2008): Publisher's Note

    Medrano-T, R. O., Moura, A., Tel, T., Caldas, I. L., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 6, 069901
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Finite-size particles, advection, and chaos: a collective phenomenon of intermittent bursting

    Medrano-T, R. O., Moura, A. P. S., Tel, T., Caldas, I. L., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 5, 056206
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Transition to chaotic scattering: Signatures in the differential cross section

    Schelin, A., de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 4 , 046204
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Crisis-induced unstable dimension variability in a dynamical system

    Kubo, G. T., Viana, R. L., Lopes, S. R., Grebogi, C.
    Physics Letters A, vol. 372, no. 34, pp. 5569-5574
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • The limit case response of archetypal oscillator for smooth and discontinuous dynamics

    Cao, Q., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C., Thompson, J. M. T.
    International Journal of Non-Linear Mechanics, vol. 43, no. 6, pp. 462-473
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • International Journal of Bifurcation and Chaos: Editorial

    Pisarchik, A. N., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 18, no. 6, pp. 1605-1606
    Contributions to Journals: Editorials
    • [ONLINE] DOI:
    • [ONLINE]

  • Experimental chaos II - Preface

    Macau, E. E. N., Grebogi, C., Kurths, J.
    Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 366, no. 1865, pp. 489-491
    Contributions to Journals: Editorials
    • [ONLINE] DOI:

  • Piecewise linear approach to an archetypal oscillator for smooth and discontinuous dynamics

    Cao, Q., Wiercigroch, M., Pavlovskaia, E. E., Thompson, J. M. T., Grebogi, C.
    Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 366, no. 1865, pp. 635-652
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • A complex biological system: the fly's visual module

    Baptista, M. S., de Almeida, L. O. B., Slaets, J. F. W., Koberle, R., Grebogi, C.
    Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 366, no. 1864, pp. 345-357
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Experimental chaos I - Preface

    Macau, E. E. N., Grebogi, C., Kurths, J.
    Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences, vol. 366, no. 1864, pp. 315-317
    Contributions to Journals: Editorials
    • [ONLINE] DOI:

  • Controlling Chaos

    Macau, E. E. N., Grebogi, C.
    Handbook of Chaos Control. Scholl, E., Schuster, H. G. (eds.). 2 edition. Wiley-VCH, pp. 1-28, 28 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters
    • [ONLINE] DOI:

  • Onset of chaotic advection in open flows

    Biemond, J. J. B., Moura, A. P. S., Karolyi, G., Grebogi, C., Nijmeijer, H.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 78, no. 1, 016317
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [OPEN ACCESS]

  • The SD Oscillator and Its Attractors

    Cao, Q., Wiercigroch, M., Pavlovskaia, E., Grebogi, C., Michael, J., Thompson, T.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings
    • [ONLINE] DOI:

  • Untitled

    Pisarchik, A. N., Grebogi, C.
    International Journal of Bifurcation and Chaos, vol. 18, pp. 1605-1606
    Contributions to Journals: Editorials

  • SD oscillator, the attractor and their applications

    Cao, Q. J., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C., Thompson, J. M. T.
    Zhendong Gongcheng Xuebao/Journal of Vibration Engineering, vol. 20, no. 5, pp. 454-458
    Contributions to Journals: Articles
    • [ONLINE]

  • Estimation of the direction of the coupling by conditional probabilities of recurrence

    Romano, M. C., Thiel, M., Kurths, J., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 76, no. 3, 036211
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Periodic orbit analysis at the onset of the unstable dimension variability and at the blowout bifurcation

    Pereira, R. F., Pinto, S. E. d. S., Viana, R. L., Lopes, S. R., Grebogi, C.
    Chaos, vol. 17, no. 2, 023131
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Signatures of fractal clustering of aerosols advected under gravity

    Vilela, R. D., Tél, T., de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 75, no. 6, 065203(R)
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Phase locking control in the Circle Map

    Almeida Di Donato, P. F., Macau, E. E. N., Grebogi, C.
    Nonlinear Dynamics, vol. 47, no. 1-3, pp. 75-82
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Chaotic advection and fractality: applications in oceanography

    Karolyi, G., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings
    • [ONLINE] DOI:

  • Archetypal oscillator for smooth and discontinuous dynamics

    Cao, Q., Wiercigroch, M., Pavlovskaia, E. E., Grebogi, C., Thompson, J. M. T.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 74, no. 4, 046218
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Dynamically Multilayered Visual System of the Multifractal Fly

    Baptista, M. S., Grebogi, C., Koberle, R.
    Physical Review Letters, vol. 97, no. 17
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Control of Chaos and Its Relevancy to Spacecraft Steering

    Grebogi, C., Macau, E. E. N.
    Philosophical Transactions of the Royal Society of London. Series A, vol. 364, no. 1846, pp. 2463-2481
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Finite-size effects on open chaotic advection

    Vilela, R. D., de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 73, no. 2, 026302
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Poincare Recurrence and Measure of Hyperbolic and Nonhyperbolic Chaotic Attractors

    Baptista, M. S., Kraut, S., Grebogi, C.
    Physical Review Letters, vol. 95, no. 9, pp. 094101-1 - 094101-4
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Chemical and biological activity in open flows: a dynamical system approach (vol 413, pg 91, 2005)

    Tel, T., de Moura, A., Grebogi, C., Karolyi, G.
    Physics Reports, vol. 415, no. 5-6, pp. 360-360
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Chemical and Biological Activity in Open Flows: A Dynamical System Approach

    Tel, T., Moura, A. P. S., Grebogi, C., Karolyi, G.
    Physics Reports, vol. 413, no. 2-3, pp. 91-196
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Using geometric control and chaotic synchronization to estimate an unknown model parameter

    Freitas, U. S., Macau, E. E. N., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 71, no. 4, 047203
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Effective Dynamics in Hamiltonian Systems with Mixed Phase Space

    Motter, A. E., de Moura, A. P. S., Grebogi, C., Kantz, H.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 71, no. 3, 036215
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Bubbling Bifurcation: Loss of Synchronization and Shadowing Breakdown in Complex Systems

    Grebogi, C., Viana, R. L., Pinto, S. E. S., Lopes, S. R., Batista, A. M., Kurths, J.
    Physics Review D, vol. 206, pp. 94-108
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Caos em Sistemas Dinamicos

    Moura, A. P. S., Grebogi, C.
    Fisica: Tendencias e Perspectivas, pp. 99-107, 8 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Estimation of Chaotic and Regular (Stick-slip and Slip-slip) Oscillations Exhibited by Coupled Oscillators with Dry Friction

    Grebogi, C., Dzyubak, L., Awrejcewicz, J.
    Nonlinear Dynamics, vol. 42, pp. 383-394
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Intersections of Stable and Unstable Manifolds: the Skeleton of Lagrangian Chaos

    Grebogi, C., Kurths, J., Gellert, M., Witt, A., Feudel, F.
    Chaos, Solitons & Fractals, vol. 24, pp. 947-956
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Multistability in Suspension Bridges

    Grebogi, C., Freitas, M. S. T., Viana, R. L.
    Modelling and Control of Autonomous Decision Support System, pp. 111-124, 13 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Simulating a Chaotic Process

    Grebogi, C., Viana, R. L., Barbosa, J. R. R., Batista, A. M., Braz, E. M.
    Brazilian Journal of Physics, vol. 35, pp. 139-147
    Contributions to Journals: Articles

  • Stability properties of nonhyperbolic chaotic attractors with respect to noise

    Kraut, S., Grebogi, C.
    Physical Review Letters, vol. 93, no. 25, 250603
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Reactions in Flows with Nonhyperbolic Dynamics

    de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 70, no. 3, 036216
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Two-dimensional map for impact oscillator with drift

    Pavlovskaia, E. E., Wiercigroch, M., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 70, no. 3, pp. 036201-036210
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Chemical and biological activity in three-dimensional flows

    de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 70, no. 2, 026218
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Escaping from nonhyperbolic chaotic attractors

    Kraut, S., Grebogi, C.
    Physical Review Letters, vol. 92, no. 23, 234101
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Surfando no Caos

    Macau, E. E., Grebogi, C.
    Ciência Hoje , vol. 34, pp. 20-27
    Contributions to Journals: Articles
    • [ONLINE]

  • Reactive particles in random flows

    Karolyi, G., Tel, T., de Moura, A. P. S., Grebogi, C.
    Physical Review Letters, vol. 92, no. 17, 174101
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Integrated Chaos-based Communication

    Grebogi, C., Baptista, M. S., Macau, E. E. N.
    Acta Astronautica, vol. 54, no. 3, pp. 153-157
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • A Direct Numerical Method for Quantifying Regular and Chaotic Orbits,

    Grebogi, C., Dzyubak, L., Awrejcewicz, J.
    Chaos, Solitons & Fractals, vol. 19, pp. 503-507
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Basins of Attraction of Periodic Oscillations in Suspension Bridges

    Grebogi, C., Viana, R. L., Freitas, M. S. T.
    Nonlinear Dynamics, vol. 37, pp. 207-226
    Contributions to Journals: Articles

  • Chemical and Biological Activity in 3-dimensional Flows

    Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 70
    Contributions to Journals: Articles

  • Cryptography with Chaos at the Physical Level

    Grebogi, C., Baptista, M. S., Machado, R. F.
    Chaos, Solitons & Fractals, vol. 21, pp. 1265-1269
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Multistability, Basin Boundary Structure, and Chaotic Behavior in a Suspension Bridge Model

    Grebogi, C., Viana, R. L., Freitas, M. S. T.
    International Journal of Bifurcation and Chaos, vol. 14, pp. 927-950
    Contributions to Journals: Articles

  • Nonhyperbolic Chaotic Systems and Synchronization

    Grebogi, C., Macau, E. E. N.
    Advanced Space Dynamics, vol. 4, pp. 123-132
    Contributions to Journals: Articles

  • Three-dimensional effects in active chaotic flows

    de Moura, A. P. S., Grebogi, C.
    Chapters in Books, Reports and Conference Proceedings: Conference Proceedings

  • Three-dimensional Effects in Active Chaotic Flows

    Moura, A. P. S., Grebogi, C.
    Contributions to Conferences: Other Contributions

  • Universality in Active Chaos

    Grebogi, C., Toroczkai, Z., Motter, A. E., Nishikawa, T., Tel, T.
    Chaos, vol. 14, pp. 72-78
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Unstable Dimension Variability and Codimension-one Bifurcations of Two-dimensional Maps

    Grebogi, C., Viana, R. L., Barbosa, J. R. R.
    Physics Letters A, vol. 321, pp. 244-251
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Validity of Numerical Trajectories in the Synchronization Transition of Complex Systems

    Viana, R. L., Grebogi, C., Pinto, S. E. D. S., Lopes, S. R., Batista, A. M., Kurths, J.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 68, no. 6, 067204
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Reactive Dynamics of Inertial Particles in Nonhyperbolic Chaotic Flows

    Motter, A. E., Lai, Y. C., Grebogi, C., Lai, Y.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 68, no. 5, 056307
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Why are chaotic attractors rare in multistable systems?

    Feudel, U., Grebogi, C.
    Physical Review Letters, vol. 91, no. 13, 134102
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Searching in small-world networks

    de Moura, A. P. S., Motter, A. E., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 68, no. 3, 036106
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Topology of windows in the high-dimensional parameter space of chaotic maps

    Baptista, M. S., Grebogi, C., Barreto, E.
    International Journal of Bifurcation and Chaos, vol. 13, no. 9, pp. 2681-2688
    Contributions to Journals: Articles
    • [ONLINE] DOI:
    • [ONLINE]

  • Bubbling and Riddling of Higher-dimensional Attractors

    Grebogi, C., Kapitaniak, T., Maistrenko, Y.
    Chaos, Solitons & Fractals, vol. 17, pp. 61-66
    Contributions to Journals: Articles

  • Communication-based on Topology Preservation of Chaotic Dynamics

    Grebogi, C., Rosa, E., Sartorelli, J. C., Reyes, M. B., Baptista, M. S.
    International Journal of Bifurcation and Chaos, vol. 13, pp. 2551-2560
    Contributions to Journals: Articles

  • Conditions for Efficient Chaos-based Communication

    Grebogi, C., Macau, E. E. N., Baptista, M. S.
    Chaos, vol. 13, pp. 145-150
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Erosion of the Safe Basin for the Transversal Oscillations of a Suspension Bridge

    Grebogi, C., Viana, R. L., Freitas, M. S. T.
    Chaos, Solitons & Fractals, vol. 18, pp. 829-841
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Foreword to Chaotic Signals in Digital Communications

    Grebogi, C., Ren, H.
    Chaotic Signals in Digital Communications. Eisencraft, M., Attux, R., Suyama, R. (eds.). CRC Press, pp. xxvii-xxviii, 2 pages
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Introduction: Control and Synchronization in Chaotic Dynamical Systems

    Grebogi, C., Kurths, J., Boccaletti, C., Lai, Y. C.
    Chaos, vol. 13, pp. 126-127
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Pseudo-deterministic Chaotic Systems

    Grebogi, C., Viana, R. L., Pinto, S. E. S., Barbosa, J. R. R.
    International Journal of Bifurcation and Chaos, vol. 13, pp. 3235-3253
    Contributions to Journals: Articles

  • Shadowing and Modelling in Chaotic Dynamics

    Grebogi, C., Pinto, S. E. S., Viana, R. L., Barbosa, J. R. R.
    Anais do I Encontro Nacional de Fisica Teorica e Computacional, Brasilia
    Chapters in Books, Reports and Conference Proceedings: Chapters

  • Topology of Windows in High-dimensional Parameter Space Chaotic Maps

    Grebogi, C., Baptista, M. S., Barreto, E.
    International Journal of Bifurcation and Chaos, vol. 13, pp. 2681-2688
    Contributions to Journals: Articles

  • Chaotic bursting at the onset of unstable dimension variability

    Viana, R. L., Pinto, S. E. D., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 66, no. 4, 046213
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Countable and Uncountable Boundaries in Chaotic Scattering

    de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 66, no. 4, 046214
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Rainbow Transition in Chaotic Scattering

    de Moura, A. P. S., Grebogi, C.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 65, no. 3, 035206
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Active synchronization in nonhyperbolic hyperchaotic systems

    Macau, E. E. N., Grebogi, C., Lai, Y. C., Lai, Y.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 65, no. 2, 027202
    Contributions to Journals: Articles
    • [ONLINE] DOI:

  • Finite-size Effects on Active Chaotic Advection

    Nishikawa, T., Toroczkai, Z., Grebogi, C., Tel, T.
    Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, vol. 65, no. 2, 026216
    Contributions to Journals: Articles
    • [ONLINE] DOI:
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