Hierarchy of rational order families of chaotic maps with an invariant measure |
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| Authors: | M A Jafarizadeh M Foroutan S Ahadpour |
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| Affiliation: | (1) Department of Theoretical Physics and Astrophysics, Tabriz University, 51664 Tabriz, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, 19395-1795 Tehran, Iran;(3) Research Institute for Fundamental Sciences, 51664 Tabriz, Iran;(4) Department of Chemistry, Faculty of Science, Tehran University, Tehran, Iran |
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| Abstract: | ![]()
We introduce an interesting hierarchy of rational order chaotic maps that possess an invariant measure. In contrast to the previously introduced hierarchy of chaotic maps [1–5], with merely entropy production, the rational order chaotic maps can simultaneously produce and consume entropy. We compute the Kolmogorov-Sinai entropy of these maps analytically and also their Lyapunov exponent numerically, where the obtained numerical results support the analytical calculations. |
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| Keywords: | Kolmogorov-Sinai entropy invariant measure Lyapunov exponent chaos |
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