Multistability and Self-Similarity in the Parameter-Space of a Vibro-Impact System

被引：11
作者：
de Souza, Silvio L. T. [2 ]
Caldas, Ibere L. [3 ]
Viana, Ricardo L. [1 ]
机构：
[1] Univ Fed Parana, Dept Fis, BR-81531990 Curitiba, Parana, Brazil
[2] Univ Fed Sao Joao del Rei, BR-36420000 Ouro Branco, MG, Brazil
[3] Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, 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：
COLPITTS OSCILLATOR; LYAPUNOV EXPONENTS; CHAOTIC MOTION; BEHAVIOR; DAMPERS; MODEL;
D O I：
10.1155/2009/290356
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The dynamics of a dissipative vibro-impact system called impact-pair is investigated. This system is similar to Fermi-Ulam accelerator model and consists of an oscillating one-dimensional box containing a point mass moving freely between successive inelastic collisions with the rigid walls of the box. In our numerical simulations, we observed multistable regimes, for which the corresponding basins of attraction present a quite complicated structure with smooth boundary. In addition, we characterize the system in a two-dimensional parameter space by using the largest Lyapunov exponents, identifying self-similar periodic sets. Copyright (C) 2009 Silvio L.T. de Souza et al.
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页数：11
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