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Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model

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Autor(es):
Rando, Danilo S. ; Marti, Arturo C. ; Leonel, Edson D.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: Chaos; v. 33, n. 2, p. 7-pg., 2023-02-01.
Resumo

We investigated the time evolution for the stationary state at different bifurcations of a dissipative version of the Fermi-Ulam accelerator model. For local bifurcations, as period-doubling bifurcations, the convergence to the inactive state is made using a homogeneous and generalized function at the bifurcation parameter. It leads to a set of three critical exponents that are universal for such bifurcation. Near bifurcation, an exponential decay describes convergence whose relaxation time is characterized by a power law. For global bifurcation, as noticed for a boundary crisis, where a chaotic transient suddenly replaces a chaotic attractor after a tiny change of control parameters, the survival probability is described by an exponential decay whose transient time is given by a power law. (AU)

Processo FAPESP: 19/14038-6 - Investigação de propriedades dinâmicas em sistemas não lineares
Beneficiário:Edson Denis Leonel
Modalidade de apoio: Auxílio à Pesquisa - Regular