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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：哈尔滨工业大学
学位：博士
所在单位：电气工程学院
学科：电力电子与电力传动
办公地点：电气工程学院（海映楼），409室
联系方式：chenxy@dlut.edu.cn
电子邮箱：chenxy@dlut.edu.cn
论文成果
当前位置: 大连理工大学 陈... >> 科学研究 >> 论文成果Constructing piecewise linear chaotic system based on the heteroclinic Shil'nikov theorem
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论文类型：期刊论文
发表时间：2009-01-01
发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
收录刊物：SCIE、EI、Scopus
卷号：14
期号：1
页面范围：194-203
ISSN号：1007-5704
关键字：chaos; Shil'nikov theorem; heteroclinic orbit; chaotic attractor
摘要：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.