Professor Celso Grebogi | The School of Natural and Computing Sciences

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

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

Update

Biography

Memberships and Affiliations

Prizes and Awards

Research Overview

QUASIPERIODIC FORCING AND THE OBSERVABILITY OF STRANGE NONCHAOTIC ATTRACTORS

EXPERIMENTAL-OBSERVATION OF CRISIS-INDUCED INTERMITTENCY AND ITS CRITICAL EXPONENT

ROUTES TO CHAOTIC SCATTERING

SCALING OF FRACTAL BASIN BOUNDARIES NEAR INTERMITTENCY TRANSITIONS TO CHAOS

DIMENSIONS OF STRANGE NONCHAOTIC ATTRACTORS

SPATIOTEMPORAL DYNAMICS IN A DISPERSIVELY COUPLED CHAIN OF NONLINEAR OSCILLATORS

THEORY OF 1ST ORDER PHASE-TRANSITIONS FOR CHAOTIC ATTRACTORS OF NONLINEAR DYNAMICAL-SYSTEMS

Evolution of attractors in quasiperiodically forced systems: From quasiperiodic to strange nonchaotic to chaotic

EFFECT OF ELECTROMAGNETIC-FIELDS ON CHARGED-PARTICLE BEAM LIMITING CURRENT

Chaos, Strange Attractors, and Fractal Basin Boundaries

Ponderomotive effects on charged particle beam limiting current

Calculation of limiting current in connection with application to gyrotron

Roundoff-induced periodicity and the correlation dimension of chaotic attractors

Numerical orbits of chaotic processes represent true orbits

MULTIPLE COEXISTING ATTRACTORS, BASIN BOUNDARIES AND BASIC SETS

Fractal boundaries for exit in Hamiltonian dynamics

CRITICAL EXPONENTS FOR POWER-SPECTRA SCALING AT MERGINGS OF CHAOTIC BANDS

ENHANCEMENT OF LIMITING CURRENT OF CHARGED-PARTICLE BEAMS BY PONDEROMOTIVE ENERGY

Unstable periodic orbits and the dimensions of multifractal chaotic attractors

Strange saddles and the dimensions of their invariant-manifolds

BASIC SETS - SETS THAT DETERMINE THE DIMENSION OF BASIN BOUNDARIES

CRITICAL EXPONENTS FOR CRISIS-INDUCED INTERMITTENCY

Basin boundary metamorphoses: Changes in accessible boundary orbits

THE GOODNESS OF ERGODIC ADIABATIC INVARIANTS

Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics

Unstable periodic orbits and the dimension of chaotic attractors

ERGODIC ADIABATIC INVARIANTS OF CHAOTIC SYSTEMS

SIMPLICIAL APPROXIMATION OF POINCARE MAPS OF DIFFERENTIAL-EQUATIONS

Do numerical orbits of chaotic dynamical processes represent true orbits?

FRACTAL BASIN BOUNDARIES WITH UNIQUE DIMENSION

Basin boundary metamorphoses: Changes in accessible boundary orbits

Fractal basin boundaries

MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES - BASIN STRUCTURE OF THE KICKED DOUBLE ROTOR

Ponderomotive Enhancement of Charged Particle Beam Limiting Current

QUASI-PERIODICALLY FORCED DYNAMIC-SYSTEMS WITH STRANGE NONCHAOTIC ATTRACTORS

MULTI-DIMENSIONED INTERTWINED BASIN BOUNDARIES AND THE KICKED DOUBLE ROTOR

PONDEROMOTIVE CONFINEMENT OF CHARGED-PARTICLE BEAMS IN A CYLINDRICAL WAVE-GUIDE

Critical Exponent of Chaotic Transients in Nonlinear Dynamical Systems

BROADENING OF SPECTRAL PEAKS AT THE MERGING OF CHAOTIC BANDS IN PERIOD-DOUBLING SYSTEMS

Vlasov susceptibility of relativistic magnetized plasma and application to free‐electron lasers

Metamorphoses of Basin Boundaries in Nonlinear Dynamical Systems

THE 2-PLASMON INSTABILITY FOR LOW-TEMPERATURE AND INHOMOGENEOUS-PLASMA

Comment on ‘‘Sensitive dependence on parameters in nonlinear dynamics’’ and on ‘‘Fat fractals on the energy surface’’

Pondermotive confinement of ion beams in a cylindrical waveguide

Fractal basin boundaries

Super persistent chaotic transients

Attractors on an N-torus - Quasiperiodicity versus chaos

EXTERIOR DIMENSION OF FAT FRACTALS

GUIDING CENTER HAMILTONIAN THEORY OF FREE-ELECTRON LASERS

Locally Coupled Evolution of Wave and Particle Distribution in General Magnetoplasma Geometry

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