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