Boundary crises and supertrack orbits in the Gauss map
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.
How to cite this document
Oliveira, Juliano A. de et al. Boundary crises and supertrack orbits in the Gauss map. European Physical Journal: Special Topics. Available at: <http://hdl.handle.net/11449/223323>.
Language
English
Collections

Related items
Showing items related by title, author, creator and subject.
-
Núcleos de Ensino da Unesp: artigos 2009
Pinho, Sheila Zambello de; Oliveira, José Brás Barreto de
; Gazola, Rodrigo José Cristiano
; Mazotti, Adriano César
; Molero, Camila Schimite
; Mendes, Carolina Borghi
; Mello, Denise Fernandes de
; Marques, Emilia de Mendonça Rosa
; Talamoni, Jandira Liria Biscalquini
; Silva, José Humberto Dias da
et al. (Coleção PROGRAD (UNESP), 2011) [Livro]
-
Núcleos de Ensino da Unesp: artigos 2008
Pinho, Sheila Zambello de; Oliveira, José Brás Barreto de
; Pontes, Sueli Rodrigues
; Almeida, Djanira Soares de Oliveira e
; Godoy, Kathya Maria Ayres de
; Rosa, Claudia de Souza
; Nunes, Julianus Araújo
; Salvador, Sérgio Azevedo
; David, Célia Maria
; Vilche Peña, Angel Fidel
et al. (Coleção PROGRAD (UNESP), 2011) [Livro]
-
Ser e tornar-se professor: práticas educativas no contexto escolar
Pinho, Sheila Zambello de; Spazziani, Maria de Lourdes
; Mendonça, Sueli Guadelupe de Lima
; Rubo, Elisabete Aparecida Andrello
; Villarreal, Dalva Maria de Oliveira
; Duarte, Camila
; Okamoto, Mary Yoko
; Souza, Thais R.
; Garms, Gilza Maria Zauhy
; Marin, Fátima Aparecida Dias Gomes
et al. (Coleção PROGRAD (UNESP), 2012) [Livro]