Periodic window arising in the parameter space of an impact oscillator

被引：33

作者：

Medeiros, E. S. ^{[1
]}

de Souza, S. L. T. ^{[2
]}

Medrano-T, R. O. ^{[1
]}

Caldas, I. L. ^{[1
]}

机构：

[1] Univ Sao Paulo, Inst Fis, BR-01498 Sao Paulo, Brazil

[2] Univ Fed Sao Joao del Rei, Sao Joao Del Rei, MG, Brazil

来源：

PHYSICS LETTERS A | 2010年 / 374卷 / 26期

基金：

巴西圣保罗研究基金会;

关键词：

Impact oscillator; Controlling chaos; Parameter space; Nonfeedback method; VIBRO-IMPACT; DYNAMICS; SYSTEMS; CHAOS;

D O I：

10.1016/j.physleta.2010.04.045

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the bi-dimensional parameter space of an impact-pair system, shrimp-shaped periodic windows are embedded in chaotic regions. We show that a weak periodic forcing generates new periodic windows near the unperturbed one with its shape and periodicity. Thus, the new periodic windows are parameter range extensions for which the controlled periodic oscillations substitute the chaotic oscillations. We identify periodic and chaotic attractors by their largest Lyapunov exponents. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2628 / 2635

页数：8

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