Sixth Century Chair in Nonlinear & Complex Systems
CEng, MS, PhD, DrHC-mult, FRSE, FABC, FTWAS, FAPS, FInstP
Professor Celso Grebogi earned his bachelor's degree in chemical engineering from the Federal University of Parana in Curitiba (Brazil) in 1970. He then became "Professor Auxiliar" in the Department of Physics at the Pontifical Catholic University in Rio de Janeiro, where he remained until 1974. Professor Grebogi decided to pursue graduate studies in the United States after he was awarded the Fulbright Fellowship. He received his M.S. (1975) and Ph.D. (1978) degrees from the Department of Physics and Astronomy, University of Maryland at College Park. He joined the University of California at Berkeley as a post-doctoral fellow under Prof. Allan Kaufamn. In 1981, Professor Grebogi returned to the University of Maryland as a faculty, joining the Department of Mathematics as a Professor in 1990, with joint appointments at the Institute for Plasma Research and the Institute for Physical Science and Technology. He has remained at the University of Maryland as a Full Professor until 2001 when he resigned to go back to Brazil as Full Professor at the Institute of Physics, University of Sao Paulo. In 2005, he was invited to join the University of Aberdeen as the "Sixth Century Chair in Nonlinear and Complex Systems". There he was the Founder of the Institute for Complex Systems and Mathematical Biology in 2009, where he is the Director. He was also the Co-founder of the Institute of Pure and Applied Mathematics in 2013.
Professor Grebogi did extensive research in the field of plasma physics before his work on the theory of dynamical systems. Professor Grebogi's research on chaotic dynamics combines analytical methods and techniques with extensive computer experiments utilizing state-of-the-art computational facilities. The objective of the research is to establish basic mathematical principles so that scientists and engineers can then apply these principles to understand and analyse the systems they are investigating in their own fields. Using this approach Professor Grebogi and his collaborators have obtained a number of important results e.g.: the establishment of "crises" as the fundamental process by which chaotic attractors undergo sudden changes as a system parameter varies; the mathematical theory and experimental verification of how transient chaos phenomena are likely to manifest themselves in practice; and the work on fractal basin boundaries that pointed out the important practical consequences of this type of boundary; the rigorous determination of how long actual trajectories of a chaotic process stay near a given numerical trajectory, i.e., the problem of shadowing. The current research focuses on systems biology, neurodynamics, methods to control chaos, the dynamics of spatio-temporal systems, active processes in chaotic flows, relativistic quantum dynamical systems, and nanosystems - including graphene and opto-mechanical systems. Professor Grebogi has also been arguing that, when analyzing systems which exhibit irregular behavior, modeling must be expanded to include algorithms which make use of measured time series. These ideas which include observation, analysis, and control of chaotic systems have been widely implemented by experimental scientists and engineers.
In recognition of Professor Grebogi's scientific accomplishments, which amounted to over four hundred publications, and the delivery of over four hundred invited lectures at international conferences and at universities and other institutions, he received many awards, prizes, and other distinctions. Among them, he was recipient of multiple Doctor Honoris Causa Degrees from the University of Potsdam, Germany, and Le Havre University, France, Honorary Professorships at University of Aberdeen, Xi'an University of Technology, Lanzhou University, and Xi'an Jiaotong University, Toshiba Chair as a World-renowned Scholar from the Waseda University, Humboldt Senior Prize, Fullbright Fellowship, and University of Maryland Distinguished Research Faculty. He is a Fellow of The Royal Society of Edinburgh, Fellow of the Brazilian Academy of Sciences, Fellow of The World Academy of Sciences (TWAS/UNESCO), Fellow of the American Physical Society, and Fellow of the Institute of Physics (UK). He is a Non-executive External Scientific Director (Mitglied) of the Max-Planck-Society and was a Senior Fellow at the Freiburg Institute for Advanced Studies and an Adjunct Professor at Xi'an Jiaotong University. He has 21,000 citations from peer reviewed articles in indexed journals and h-index 67 (Thomson Reuters Web of Science) [Google Scholar: 31,000 citations, h-index 80].
Dynamics of nonlinear and complex systems including chaotic dynamics, fractal geometry, systems biology, population dynamics, neurodynamics, fluid advection, relativistic quantum nonlinear dynamics, and nanosystems