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
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
- Internal Memberships
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- 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
- External Memberships
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- 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
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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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Page 10 of 11 Results 451 to 500 of 547
Bifurcation to chaotic scattering
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
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
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
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
Energy Sciences Supercomputing. U.S. DOE National Energy Research Supercomputer CenterChapters in Books, Reports and Conference Proceedings: ChaptersControlling Chaotic Dynamical Systems
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
Chapters in Books, Reports and Conference Proceedings: Conference ProceedingsCHAOTIC ATTRACTORS ON A 3-TORUS, AND TORUS BREAK-UP
Physica. D, Nonlinear Phenomena, vol. 39, no. 2-3, pp. 299-314Contributions to Journals: ArticlesQUASIPERIODIC FORCING AND THE OBSERVABILITY OF STRANGE NONCHAOTIC ATTRACTORS
Physica Scripta, vol. 40, no. 3, pp. 442-444Contributions to Journals: ArticlesEXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT
Physical Review Letters, vol. 63, no. 9, pp. 923-926Contributions to Journals: ArticlesROUTES TO CHAOTIC SCATTERING
Physical Review Letters, vol. 63, no. 9, pp. 919-922Contributions to Journals: ArticlesSCALING OF FRACTAL BASIN BOUNDARIES NEAR INTERMITTENCY TRANSITIONS TO CHAOS
Physical Review A, vol. 40, no. 3, pp. 1576-1581Contributions to Journals: ArticlesDIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS
Physics Letters A, vol. 137, no. 4-5, pp. 167-172Contributions to Journals: ArticlesSPATIOTEMPORAL DYNAMICS IN A DISPERSIVELY COUPLED CHAIN OF NONLINEAR OSCILLATORS
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
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
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
Physics Letters A, vol. 135, no. 4-5, pp. 280-283Contributions to Journals: ArticlesChaos, Strange Attractors, and Fractal Basin Boundaries
Transactions of the American Nuclear Society, vol. 60, pp. 346Contributions to Journals: ArticlesPonderomotive effects on charged particle beam limiting current
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
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
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
Bulletin of the American Mathematical Society, vol. 19, no. 2, pp. 465-469Contributions to Journals: ArticlesMULTIPLE COEXISTING ATTRACTORS, BASIN BOUNDARIES AND BASIC SETS
Physica. D, Nonlinear Phenomena, vol. 32, no. 2, pp. 296-305Contributions to Journals: ArticlesFractal boundaries for exit in Hamiltonian dynamics
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
Physical Review A, vol. 38, no. 1, pp. 463-468Contributions to Journals: ArticlesENHANCEMENT OF LIMITING CURRENT OF CHARGED-PARTICLE BEAMS BY PONDEROMOTIVE ENERGY
Physics of Fluids, vol. 31, no. 5, pp. 1277-1279Contributions to Journals: ArticlesUnstable periodic orbits and the dimensions of multifractal chaotic attractors
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
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
Lecture notes in mathematics, vol. 1342, pp. 220-250Contributions to Journals: ArticlesCRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY
Physical Review A, vol. 36, no. 11, pp. 5365-5380Contributions to Journals: ArticlesBasin boundary metamorphoses: Changes in accessible boundary orbits
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
Journal of Statistical Physics, vol. 49, no. 3-4, pp. 511-550Contributions to Journals: ArticlesChaos, strange attractors, and fractal basin boundaries in nonlinear dynamics
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
Physical Review A, vol. 36, no. 7, pp. 3522-3524Contributions to Journals: ArticlesERGODIC ADIABATIC INVARIANTS OF CHAOTIC SYSTEMS
Physical Review Letters, vol. 59, no. 11, pp. 1173-1176Contributions to Journals: ArticlesSIMPLICIAL APPROXIMATION OF POINCARE MAPS OF DIFFERENTIAL-EQUATIONS
Physics Letters A, vol. 124, no. 1-2, pp. 59-64Contributions to Journals: ArticlesDo numerical orbits of chaotic dynamical processes represent true orbits?
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
Annals of the New York Academy of Sciences, vol. 497, pp. 117-126Contributions to Journals: ArticlesBasin boundary metamorphoses: Changes in accessible boundary orbits
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
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
Physica. D, Nonlinear Phenomena, vol. 25, no. 1-3, pp. 347-360Contributions to Journals: ArticlesPonderomotive Enhancement of Charged Particle Beam Limiting Current
Chapters in Books, Reports and Conference Proceedings: Conference Proceedings- [ONLINE] View publication in Scopus
QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS
Physica. D, Nonlinear Phenomena, vol. 26, no. 1-3, pp. 277-294Contributions to Journals: ArticlesMULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES AND THE KICKED DOUBLE ROTOR
Physics Letters A, vol. 118, no. 9, pp. 448-452Contributions to Journals: ArticlesPONDEROMOTIVE CONFINEMENT OF CHARGED-PARTICLE BEAMS IN A CYLINDRICAL WAVE-GUIDE
Physical Review A, vol. 34, no. 5, pp. 4083-4090Contributions to Journals: ArticlesCritical Exponent of Chaotic Transients in Nonlinear Dynamical Systems
Physical Review Letters, vol. 57, no. 11, pp. 1284-1287Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.57.1284
BROADENING OF SPECTRAL PEAKS AT THE MERGING OF CHAOTIC BANDS IN PERIOD-DOUBLING SYSTEMS
Physical Review A, vol. 34, no. 3, pp. 2248-2254Contributions to Journals: ArticlesVlasov susceptibility of relativistic magnetized plasma and application to free‐electron lasers
Physics of Fluids, vol. 29, no. 5, pp. 1748-1749Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1063/1.865646
Metamorphoses of Basin Boundaries in Nonlinear Dynamical Systems
Physical Review Letters, vol. 56, no. 10, pp. 1011-1014Contributions to Journals: Articles- [ONLINE] DOI: https://doi.org/10.1103/PhysRevLett.56.1011
THE 2-PLASMON INSTABILITY FOR LOW-TEMPERATURE AND INHOMOGENEOUS-PLASMA
Plasma physics and controlled fusion, vol. 28, no. 2, pp. 439-451Contributions to Journals: Articles