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

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dc.creatorJafarizadeh, M. A.
dc.creatorForoutan, M.
dc.creatorAhadpour, S.
dc.date2007-01-22
dc.date.accessioned2026-07-07T07:42:24Z
dc.date.available2026-07-07T07:42:24Z
dc.descriptionWe 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.
dc.description19 pages 2 figures
dc.identifierhttps://arxiv.org/abs/nlin/0701045
dc.identifierhttp://arxiv.org/abs/nlin/0701045
dc.identifierPramana Journal of Physics vol. 67, 1073 (2006)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/122429
dc.subjectChaotic Dynamics
dc.titleHierarchy of rational order families of chaotic maps with an invariant measure
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