Dissipation and its consequences in the scaling exponents for a family of two-dimensional mappings
Contribuinte(s) |
Universidade Estadual Paulista (UNESP) |
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Data(s) |
30/09/2013
20/05/2014
30/09/2013
20/05/2014
27/04/2012
|
Resumo |
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) The effects and consequences of dissipation in the scaling exponents describing the behaviour of average properties over the chaotic dynamics for a family of two-dimensional mappings are studied. The mapping is parametrized by an exponent gamma in one of the dynamical variables and by a parameter delta is an element of [0, 1], which denotes the amount of the dissipation. The Lyapunov exponents are obtained for different values of gamma and delta in the range 0 < delta < 1. The behaviour of the approaching orbits to the chaotic attractors is described analytically to be of exponential type. The deviation around the average action for chaotic orbits was described by a single set of scaling exponents obtained for different gamma leading the model to fall into the same universality class as that of the dissipative bouncer model. |
Formato |
11 |
Identificador |
http://dx.doi.org/10.1088/1751-8113/45/16/165101 Journal of Physics A-mathematical and Theoretical. Bristol: Iop Publishing Ltd, v. 45, n. 16, p. 11, 2012. 1751-8113 http://hdl.handle.net/11449/24912 10.1088/1751-8113/45/16/165101 WOS:000302794200006 |
Idioma(s) |
eng |
Publicador |
Iop Publishing Ltd |
Relação |
Journal of Physics A: Mathematical and Theoretical |
Direitos |
closedAccess |
Tipo |
info:eu-repo/semantics/article |