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Chaos Nonlinearity Complexity The Dynamical Paradigm of Nature

When one deals with chaotic behavior of a dynamical system, one interesting problem is to find a measure of the complexity of the system. It is generally assumed that KS entropy means a scale of measure of such complexity. Since we move from zero to positive KS entropy, it establishes and describes the transition from regular to chaotic behavior. More precisely, the claim is that having positive KS entropy is a sufficient condition for a dynamical system to be chaotic (see [15]). The notion is important and has been introduced in several books and papers (see for example [73]). Nevertheless we have chosen a more general way using the approach introduced by J. Canovas in [24] in his Doctoral Dissertation.

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date Date: 24:Mar:2009
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book author Auther: A Sengupta
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