標題: Generating tri-chaos attractors with three positive Lyapunov exponents in new four order system via linear coupling
作者: Li, Shih-Yu
Huang, Sheng-Chieh
Yang, Cheng-Hsiung
Ge, Zheng-Ming
機械工程學系
電控工程研究所
Department of Mechanical Engineering
Institute of Electrical and Control Engineering
關鍵字: Tri-Chaos;Mathieu-van der Pol system;Lyapunov exponent;3-D parametric diagram
公開日期: 1-八月-2012
摘要: This paper presents a new hyperchaotic system with three positive Lyapunov exponents (called Tri-Chaos). Via linear coupling, Mathieu, and van der Pol systems are coupled with each other and then become a new four order system-Mathieu-van der Pol autonomous system. As we know, two positive Lyapunov exponents confirm hyperchaotic nature of its dynamics and it means that the system can present more complicated behavior than ordinary chaos. We further generate three positive Lyapunov exponents in a new coupled nonlinear system and anticipate the advanced application in secure communication. Not only a new chaotic system with three Lyapunov exponents is proposed, but also its implementation of an electronic circuit is put into practice in this article. The phase portrait, electronic circuit, power spectrum, Lyapunov exponents, and 2-D and 3-D parameter diagram of tri-chaos with three positive Lyapunov exponents of the new system will be shown in this paper.
URI: http://hdl.handle.net/11536/16244
ISSN: 0924-090X
期刊: NONLINEAR DYNAMICS
Volume: 69
Issue: 3
結束頁: 805
顯示於類別:期刊論文


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