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Literature DB >> 17816542

Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics.

Abstract

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.

Year: 1987 PMID： 17816542 DOI： 10.1126/science.238.4827.632

Source DB: PubMed Journal: Science ISSN： 0036-8075 Impact factor: 47.728

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Cited

18 in total

Chaos, strange attractors, and fractal basin boundaries in nonlinear dynamics.

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4. Extensional channel flow revisited: a dynamical systems perspective.

5. Nonlinear dynamics of two-dimensional cardiac action potential duration mapping model with memory.

6. Evidence for chaotic behavior in driven ventricles.

7. Effect of data length on time delay and embedding dimension for calculating the Lyapunov exponent in walking.

Review 8. Genetic and developmental defects of the mouse corpus callosum.

9. Analysis of EEG Data Using Complex Geometric Structurization.

10. Synaptic potentiation facilitates memory-like attractor dynamics in cultured in vitro hippocampal networks.