Hierarchy of rational order families of chaotic maps with an invariant measure

Details Hierarchy of rational order families of chaotic maps with an invariant measure Hierarchy of rational order families of chaotic maps with an invariant measure

2007-01-22

arxiv.org/abs/nlin/0701045v1

Pramana Journal of Physics vol. 67, 1073 (2006)

Nonlinear Sciences

Chaotic Dynamics

19 pages 2 figures

Scientific paper

We introduce an interesting hierarchy of rational order chaotic maps that posses an invariant measure. In contrast to the previously introduced hierarchy of chaotic maps \cite{J1,J2,J3,J4,J5}, with merely entropy production, the rational order chaotic maps can simultaneously produce and consume entropy . We compute the Kolmogorov-Sinai entropy of theses maps analytically and also their Lyapunov exponent numerically, where that obtained numerical results support the analytical calculations.

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