Chaotic Behavior of Deterministic Systems

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Date

1989-06

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Addis Ababa University

Abstract

We have considered nonlinear systems whose line dependence is deterministic and Fwesent~d some n:;pre,,~nta\ive physical ~y:;tems whk:h display chaotic behavior. Simple model maps which can exhibit chaos slmitar to the chaos observed In more complex system" are studied. Characterization for one dimensional maps whether they are chaotic or not are given quantitatively. The three known prominent scenarios, and their accompaning experiments, leading to chaos are analysed in some detail. StranDe attractors in dissipative systems and their relevance to turbulence is considered. ihe appearance of chaos in conservative systems are shortly d,~alt. Finally, chaos In different bf'aIYJw; of science and its implications are stated

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Keywords

Chaotic Behavior

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