Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model
| dc.contributor.author | Rando, Danilo S. [UNESP] | |
| dc.contributor.author | Martí, Arturo C. | |
| dc.contributor.author | Leonel, Edson D. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Universidad de la República | |
| dc.date.accessioned | 2023-07-29T13:43:27Z | |
| dc.date.available | 2023-07-29T13:43:27Z | |
| dc.date.issued | 2023-02-01 | |
| dc.description.abstract | 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. | en |
| dc.description.affiliation | Departamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, Av.24A, 1515 - Bela Vista, SP | |
| dc.description.affiliation | Facultad de Ciencias Universidad de la República, Igua 4225 | |
| dc.description.affiliationUnesp | Departamento de Física Instituto de Geociências e Ciências Exatas Universidade Estadual Paulista, Av.24A, 1515 - Bela Vista, SP | |
| dc.identifier | http://dx.doi.org/10.1063/5.0124411 | |
| dc.identifier.citation | Chaos, v. 33, n. 2, 2023. | |
| dc.identifier.doi | 10.1063/5.0124411 | |
| dc.identifier.issn | 1089-7682 | |
| dc.identifier.issn | 1054-1500 | |
| dc.identifier.scopus | 2-s2.0-85148851077 | |
| dc.identifier.uri | http://hdl.handle.net/11449/248415 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Chaos | |
| dc.source | Scopus | |
| dc.title | Bifurcations, relaxation time, and critical exponents in a dissipative or conservative Fermi model | en |
| dc.type | Artigo | |
| unesp.author.orcid | 0000-0002-4053-4651[1] | |
| unesp.author.orcid | 0000-0003-2023-8676[2] | |
| unesp.author.orcid | 0000-0001-8224-3329[3] |