Release Time:2019-03-10  Hits:

Indexed by: Journal Article

Date of Publication: 2009-01-01

Journal: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Included Journals: Scopus、EI、SCIE

Volume: 14

Issue: 1

Page Number: 194-203

ISSN: 1007-5704

Key Words: chaos; Shil'nikov theorem; heteroclinic orbit; chaotic attractor

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. (C) 2007 Elsevier B.V. All rights reserved.