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Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics. (English) Zbl 1226.37015
Summary: 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.

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior
70K50 Bifurcations and instability for nonlinear problems in mechanics
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