Hierarchy of random deterministic chaotic maps with an invariant measure

Details Hierarchy of random deterministic chaotic maps with an invariant measure Hierarchy of random deterministic chaotic maps with an invariant measure

2003-01-04

arxiv.org/abs/nlin/0301002v1

Nonlinear Sciences

Chaotic Dynamics

11 pages, Latex

Scientific paper

Hierarchy of one and many-parameter families of random trigonometric chaotic maps and one-parameter random elliptic chaotic maps of $\bf{cn}$ type with an invariant measure have been introduced. Using the invariant measure (Sinai-Ruelle-Bowen measure), the Kolmogrov-Sinai entropy of the random chaotic maps have been calculated analytically, where the numerical simulations support the results

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