YORKE, JAMES A. / Mathématiques / Chercheurs

Centre International de Recherche Scientifique


Mathématiques / YORKE, JAMES A.



Distinguished University Professor of Mathematics and Physics,
Institute for Physical Sciences and Technology, University of Maryland
College Park, USA

Thèmes de recherche

Professor Yorke's current research projects range from chaos theory and weather prediction and genome research to the population dynamics of the HIV/AIDS epidemic.

He is perhaps best known to the general public for coining the mathematical term "chaos" with T.Y. Li in a 1975 paper entitled "Period Three Implies Chaos". "Chaos" is a mathematical concept in non-linear dynamics for systems that vary according to precise deterministic laws but appear to behave in random fashion. The University's chaos research group, one of the best in the world. The objective of his chaos research is to describe those robust properties that are common in the dynamics of physical, biological, and chemical systems. Sometimes the phenomena can be described using rigorous mathematics, and sometimes only phenomenological descriptions can be obtained from intensive numerical studies. Most often, the research is a blend of numerical and rigorous techniques.

Prix et récompenses

2003 Japan Prize from the Science and Technology Foundation of Japan

American Physical Society
American Mathematical Society
The Mathematical Association of America (MAA)
Society for Industrial and Applied Mathematics (SIAM)


E. Ott, T. Sauer and J. A. Yorke, Coping with Chaos, John Wiley & Sons, Inc., 1994

K. Alligood, T. Sauer and J. A. Yorke, Chaos: An Introduction to Dynamical Systems, Springer-Verlag, New York (1997).

H. E. Nusse and J. A. Yorke, Dynamics: Numerical Explorations, Applied Mathematical Sciences 101, Springer-Verlag, New York, Second Edition 1997 (First Edition 1994). Book includes a computer disk with the program "Dynamics".

C. Grebogi and. J. A. Yorke, Editors, The Impact of Chaos on Science and Society, United Nations University Press, Tokyo (1997). ISBN 92-808-0882-

Lasota and J. A. Yorke, On the existence of invariant measures for piecewise monotonic transformations, Trans. Amer. Math. Soc. 186 481-488, 1973.

T. Y. Li and J. A. Yorke, Period three implies chaos, Amer. Math. Monthly 82, 985-992, 1975.

J. D. Farmer, E. Ott and J. A. Yorke, The dimension of chaotic attractors, Physica 7D, 153-180, 1983.

C. Grebogi, E. Ott, S. Pelikan and J. A. Yorke, Strange attractors that are not chaotic, Physica 13D, 261-268, 1984.

S. W. McDonald, C. Grebogi, E. Ott and J. A. Yorke, Fractal basin boundaries, in Physica 17D, 125-153, 1985.

E. Ott, C. Grebogi and J. A. Yorke, Controlling chaos, Phys. Rev. Lett. 64, 1196-1199, 1990.

T. Sauer, J. A. Yorke and M. Casdagli Embedology, J. Stat. Phys., 65, 579-616, 1991.

T. Shinbrot, C. Grebogi, E. Ott and J. A. Yorke, Using small perturbations to control chaos, Nature ,363, pp. 411-417, 1993.

H. E. Nusse and J. A. Yorke, Basins of attraction, Science, 271, pp. 1376-1380, 1996.

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