Article ID Journal Published Year Pages File Type
756249 Communications in Nonlinear Science and Numerical Simulation 2008 13 Pages PDF
Abstract

In this paper, we prove that there exists globally exponential attractive and positive invariant set for a general chaotic system, which does not belong to the known Lorenz system, or the Chen system, or the Lorenz family. We show that all the solution orbits of the chaotic system are ultimately bounded with exponential convergent rates and the convergent rates are explicitly estimated. The method given in this paper can be applied to study other chaotic systems.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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