Article ID Journal Published Year Pages File Type
756166 Communications in Nonlinear Science and Numerical Simulation 2009 10 Pages PDF
Abstract

In this paper, a kind of piecewise linear chaotic system is constructed based on the Shil’nikov theorem. These systems have the same Jacobian in each equilibrium, and the piecewise linear functions in them are discontinuous, piecewise constants. The condition for the existence of the heteroclinic orbits in this kind of system is discussed. According to the separating plane and the position of the equilibriums, four different chaotic systems are given. Computer simulations confirm that the proposed method can be used to construct arbitrary chaotic attractors with multi-scrolls.

Related Topics
Physical Sciences and Engineering Engineering Mechanical Engineering
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