Approximate Description of the Mandelbrot Set. Thermodynamic Analogy

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dc.creatorIsaeva, O. B.
dc.creatorKuznetsov, S. P.
dc.date2005-04-29
dc.date.accessioned2026-07-07T05:36:27Z
dc.date.available2026-07-07T05:36:27Z
dc.descriptionAnalogy between an approximate version of Feigenbaum renormalization group analysis in complex domain and the phase transition theory of Yang-Lee (based on consideration of formally complexified thermodynamic values) is discussed. It is shown that the Julia sets of the renormalization transformation correspond to the approximation of Mandelbrot set of the original map. New aspects of analogy between the theory of dynamical systems and the phase transition theory are uncovered.
dc.description11 pages, 10 figures,3 tables
dc.identifierhttps://arxiv.org/abs/nlin/0504063
dc.identifierhttp://arxiv.org/abs/nlin/0504063
dc.identifierNonlinear Phenomena in Complex Systems, V.8, No.2, 2005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80996
dc.subjectChaotic Dynamics
dc.titleApproximate Description of the Mandelbrot Set. Thermodynamic Analogy
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