Boundary crises and supertrack orbits in the Gauss map
| dc.contributor.author | Oliveira, Juliano A. de [UNESP] | |
| dc.contributor.author | Mendonça, Hans M. J. de [UNESP] | |
| dc.contributor.author | Favarim, Vitor A. [UNESP] | |
| dc.contributor.author | Carvalho, R. Egydio de [UNESP] | |
| dc.contributor.author | Leonel, Edson D. [UNESP] | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.contributor.institution | Strada Costiera | |
| dc.date.accessioned | 2022-04-28T19:50:01Z | |
| dc.date.available | 2022-04-28T19:50:01Z | |
| dc.date.issued | 2022-01-01 | |
| dc.description.abstract | Supertrack orbits are used to investigate boundary crises in an one-dimensional, two-parameter (ν, β), nonlinear Gauss map. After the crises, the time evolution of the orbit is shown to be pseudo-chaotic. We investigate the chaotic transient, that is, the time an orbit spends in a region where the chaotic attractor existed prior to the crisis, and confirm it decays exponentially with time. The relaxation time is given by a power-law τ∝ μγ with μ= | β- βc| corresponding to the distance measured in the parameter where the crises are observed. βc is the parameter that characterizes the occurrence of a boundary crisis and the numerical value of the power measured was γ= 1 / 2. | en |
| dc.description.affiliation | Universidade Estadual Paulista (UNESP) Câmpus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505 | |
| dc.description.affiliation | The Abdus Salam - ICTP Strada Costiera | |
| dc.description.affiliation | Departamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista (UNESP), Av. 24A, 1515 | |
| dc.description.affiliation | Departamento de Física Universidade Estadual Paulista (UNESP), Av. 24A, 1515 | |
| dc.description.affiliationUnesp | Universidade Estadual Paulista (UNESP) Câmpus de São João da Boa Vista, Av. Profa. Isette Corrêa Fontão, 505 | |
| dc.description.affiliationUnesp | Departamento de Estatística Matemática Aplicada e Computação Universidade Estadual Paulista (UNESP), Av. 24A, 1515 | |
| dc.description.affiliationUnesp | Departamento de Física Universidade Estadual Paulista (UNESP), Av. 24A, 1515 | |
| dc.identifier | http://dx.doi.org/10.1140/epjs/s11734-021-00402-8 | |
| dc.identifier.citation | European Physical Journal: Special Topics. | |
| dc.identifier.doi | 10.1140/epjs/s11734-021-00402-8 | |
| dc.identifier.issn | 1951-6401 | |
| dc.identifier.issn | 1951-6355 | |
| dc.identifier.scopus | 2-s2.0-85123465704 | |
| dc.identifier.uri | http://hdl.handle.net/11449/223323 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | European Physical Journal: Special Topics | |
| dc.source | Scopus | |
| dc.title | Boundary crises and supertrack orbits in the Gauss map | en |
| dc.type | Resenha | |
| unesp.author.orcid | 0000-0001-7238-4777[1] |