Celso Grebogi

Celso Grebogi
Born	Celso Grebogi Brazil
Nationality	Brazil
Fields	Maths and Physics (theoretical)
Institutions	University of Maryland, College Park
Alma mater	State University of Parana in Curitiba Pontifical Catholic University in Rio University of Maryland University of California, Berkeley University of Sao Paulo University of Aberdeen

Celso Grebogi is a Brazilian theoretical physicist who works in the area of chaos theory. He is one among the pioneers in the nonlinear and complex systems and chaos theory. Currently he works at the University of Aberdeen as the "Sixth Century Chair in Nonlinear and Complex Systems". He has done extensive research in the field of plasma physics before his work on the theory of dynamical systems. He and his colleagues (Edward Ott and James A. Yorke ) have shown with a numerical example that one can convert a chaotic attractor to any one of a large number of possible attracting time-periodic motions by making only small time-dependent perturbations of an available system parameter. This article is considered as one among the classic works in the control theory of chaos and their control method is known as the famous O.G.Y. method.

Research areas

Grebogi has worked in the fields of dynamics of nonlinear and complex systems including chaotic dynamics, fractal geometry, systems biology, fluid advection and relativistic quantum chaotic dynamics.

Edited books

Together with Miguel A. F. Sanjuán (Rey Juan Carlos University , Spain) he was the editor of the book Recent Progress In Controlling Chaos.

References

Edward Ott, J. A. Yorke Chaos, strange attractors and fractal basin boundaries in nonlinear dynamical systems, Science, volume 238, 1987, page 585
E. Ott, J. A. Yorke Controlling chaos, Physical Review Letters, volume 64, 1990, page 1196
T. Shinbrot, Ott, Yorke Using small perturbations to control chaos, Nature, volume 363, 1993, page 411
Miguel A. F. Sanjuán Recent progress in controlling chaos, World Scientific 2010

External links

Chaos theory

Chaos theory	Anosov diffeomorphism Bifurcation theory Butterfly effect Chaos theory in organizational development Complexity Control of chaos Dynamical system Edge of chaos Fractal Predictability Quantum chaos Santa Fe Institute Synchronization of chaos Unintended consequences

Chaotic maps (list)	Arnold tongue Arnold's cat map Baker's map Complex quadratic map Complex squaring map Coupled map lattice Double pendulum Double scroll attractor Duffing equation Duffing map Dyadic transformation Dynamical billiards outer Exponential map Gauss map Gingerbreadman map Hénon map Horseshoe map Ikeda map Interval exchange map Kaplan–Yorke map Logistic map Lorenz system Multiscroll attractor Rabinovich–Fabrikant equations Rössler attractor Standard map Swinging Atwood's machine Tent map Tinkerbell map Van der Pol oscillator Zaslavskii map

Chaos systems	Bouncing ball dynamics Chua's circuit Economic bubble Tilt-A-Whirl

Chaos theorists	Michael Berry Leon O. Chua Mitchell Feigenbaum Martin Gutzwiller Brosl Hasslacher Michel Hénon Edward Norton Lorenz Aleksandr Lyapunov Benoît Mandelbrot Henri Poincaré Otto Rössler David Ruelle Oleksandr Mykolaiovych Sharkovsky Floris Takens James A. Yorke

Authority control	WorldCat VIAF: 19239398 LCCN: no90008723 NDL: 00746026

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