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Science 30 October 1987:
Vol. 238. no. 4827, pp. 632 - 638
DOI: 10.1126/science.238.4827.632
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Articles

Chaos, Strange Attractors, and Fractal Basin Boundaries in Nonlinear Dynamics

CELSO GREBOGI 1, EDWARD OTT 2, and JAMES A. YORKE 3

1 Research scientist at the Laboratory for Plasma and Fusion Energy Studies
2 Professor in the departments of electrical engineering and physics
3 Professor of mathematics and is the director of the Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742.

Recently research has shown that many simple nonlinear deterministic systems can behave in an apparently unpredictable and chaotic manner. This realization has broad implications for many fields of science. Basic developments in the field of chaotic dynamics of dissipative systems are reviewed in this article. Topics covered include strange attractors, how chaos comes about with variation of a system parameter, universality, fractal basin boundaries and their effect on predictability, and applications to physical systems.


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Science. ISSN 0036-8075 (print), 1095-9203 (online)