On the Chaotic Behaviour of Discontinuous Systems

被引：0
|
作者：
Flaviano Battelli
Michal Fečkan
机构：
[1] Università Politecnica delle Marche,Dipartimento di Scienze Matematiche
[2] Comenius University,Department of Mathematical Analysis and Numerical Mathematics
[3] Slovak Academy of Sciences,Mathematical Institute
来源：
Journal of Dynamics and Differential Equations | 2011年 / 23卷
关键词：
Bernouilli shift; Chaotic behaviour; Discontinuous systems; 34C23; 34C37; 37G20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We follow a functional analytic approach to study the problem of chaotic behaviour in time-perturbed discontinuous systems whose unperturbed part has a piecewise C1 homoclinic solution that crosses transversally the discontinuity manifold. We show that if a certain Melnikov function has a simple zero at some point, then the system has solutions that behave chaotically. Application of this result to quasi periodic systems are also given.
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页码：495 / 540
页数：45
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