Time-dependent properties in two-dimensional and Hamiltonian mappings

被引：0
|
作者：
A. L. P. Livorati
J. A. de Oliveira
D. G. Ladeira
E. D. Leonel
机构：
[1] Instituto de Física da USP,Câmpus São João da Boa Vista, São João da Boa Vista SP
[2] Cidade Universitária,Departamento de Física e Matemática
[3] UNESP,câmpus de Rio Claro, IGCE, Departamento de Física
[4] Univ. Estadual Paulista,undefined
[5] Univ. Federal de São João del-Rei,undefined
[6] UFSJ,undefined
[7] UNESP,undefined
[8] Univ. Estadual Paulista,undefined
来源：
The European Physical Journal Special Topics | 2014年 / 223卷
关键词：
Control Parameter; European Physical Journal Special Topic; Critical Exponent; Action Variable; Chaotic Orbit;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Some scaling properties for chaotic orbits in a family of two-dimensional Hamiltonian mappings are studied. The phase space of the model exhibits chaos and may have mixed structure with periodic islands, chaotic seas and invariant spanning curves. Average properties of the action variable in the chaotic sea are obtained as a function of time (t). From scaling arguments, critical exponents for the ensemble average of the action variable are obtained. Scaling invariance is obtained as a function of the control parameter that controls the intensity of the nonlinearity.
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页码：2953 / 2958
页数：5
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