Hierarchy of random deterministic chaotic maps with an invariant measure

Abstract

Hierarchy of one and many-parameter families of random trigonometric chaotic maps and one-parameter random elliptic chaotic maps of $\mathbf{cn}$ 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

11 pages, Latex

References in corpus (4)

• Composition of Chaotic Maps with an Invariant Measure
• Hierarchy of Chaotic Maps with an Invariant Measure
• Hierarchy of chaotic maps with an invariant measure and their compositions
• Hierarchy of one and many-parameter families of elliptic chaotic maps of cn and sn types

Cited by in corpus (1)

• Hierarchy of piecewise non-linear maps with non-ergodicity behavior