Analysis of a type of nonsmooth dynamical systems

Guofeng Zhang, Guanrong Chen, Tongwen Chen and Yanping Lin

Chaos, Solitons & Fractals, 2006, vol. 30, issue 5, 1153-1164

Abstract: In this paper, a class of nonsmooth dynamical systems is analyzed. Extensive simulations reveal the chaotic behavior in these systems. By introducing a parameter, a chain of systems with one end being a linear stable system and the other being a chaotic system is constructed. Then the phase transition process through the chain is investigated as the parameter varies. Difficulties involved in analyzing this class of systems are also discussed.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:5:p:1153-1164

DOI: 10.1016/j.chaos.2005.08.181

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