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

M. A. Jafarizadeh; M. Foroutan; S. Ahadpour

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

M. A. Jafarizadeh·M. Foroutan·S. Ahadpour

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Abstract

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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M. A. Jafarizadeh, M. Foroutan, S. Ahadpour. 2007-01-22. Hierarchy of rational order families of chaotic maps with an invariant measure. https://arxiv.org/abs/nlin/0701045

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