Scaling Properties of a Hybrid Fermi-Ulam-Bouncer Model

被引：7
|
作者：
Oliveira, Diego F. M. [1 ]
Bizao, Rafael A. [2 ]
Leonel, Edson D. [2 ]
机构：
[1] Univ Estadual Paulista, Dept Fis, Inst Geociencias & Ciencias Exatas, BR-13506900 Rio Claro, SP, Brazil
[2] Univ Estadual Paulista, Dept Estat Matemat Aplicada & Computacao, Inst Geociencias & Ciencias Exatas, BR-13506900 Rio Claro, SP, Brazil
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷
基金：
巴西圣保罗研究基金会;
关键词：
CHAOTIC DYNAMICS; ACCELERATION; BALL; BILLIARDS;
D O I：
10.1155/2009/213857
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Some dynamical properties for a one-dimensional hybrid Fermi-Ulam-bouncer model are studied under the framework of scaling description. The model is described by using a two-dimensional nonlinear area preserving mapping. Our results show that the chaotic regime below the lowest energy invariant spanning curve is scaling invariant and the obtained critical exponents are used to find a universal plot for the second momenta of the average velocity. Copyright (C) 2009 Diego F. M. Oliveira et al.
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页数：13
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