Boundary crisis and transient in a dissipative relativistic standard map


Autoria(s): Oliveira, Diego F. M.; Leonel, Edson Denis; Robnik, Marko
Contribuinte(s)

Universidade Estadual Paulista (UNESP)

Data(s)

30/09/2013

20/05/2014

30/09/2013

20/05/2014

05/09/2011

Resumo

Some dynamical properties for a problem concerning the acceleration of particles in a wave packet are studied. The model is described in terms of a two-dimensional nonlinear map obtained from a Hamiltonian which describes the motion of a relativistic standard map. The phase space is mixed in the sense that there are regular and chaotic regions coexisting. When dissipation is introduced, the property of area preservation is broken and attractors emerge. We have shown that a tiny increase of the dissipation causes a change in the phase space. A chaotic attractor as well as its basin of attraction are destroyed thereby leading the system to experience a boundary crisis. We have characterized such a boundary crisis via a collision of the chaotic attractor with the stable manifold of a saddle fixed point. Once the chaotic attractor is destroyed, a chaotic transient described by a power law with exponent 1 is observed. (C) 2011 Elsevier B.V. All rights reserved.

Formato

3365-3369

Identificador

http://dx.doi.org/10.1016/j.physleta.2011.07.045

Physics Letters A. Amsterdam: Elsevier B.V., v. 375, n. 38, p. 3365-3369, 2011.

0375-9601

http://hdl.handle.net/11449/24884

10.1016/j.physleta.2011.07.045

WOS:000295500700007

Idioma(s)

eng

Publicador

Elsevier B.V.

Relação

Physics Letters A

Direitos

closedAccess

Palavras-Chave #Chaos #Standard map #Crisis
Tipo

info:eu-repo/semantics/article