Chaos of general modified Lorenz systems

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Status	已發表Published
	Chaos of general modified Lorenz systems
	Liao F.1; Li A.1; Tang Y.2
	2009-02-01
Source Publication	Liaoning Gongcheng Jishu Daxue Xuebao (Ziran Kexue Ban)/Journal of Liaoning Technical University (Natural Science Edition)
ISSN	10080562
Volume	28 Issue:1 Pages:158-160
Abstract	There are 3 parameters in the well-known Lorenz chaotic system. This paper focuses on genera modified Lorenz chaotic systems. In this modified system remains one linear equation, but includes seven parameters. Because of this linear equation, it is not hard to solve for the equilibrium states. Since it includes seven parameters, the distribution of system orbits is more complicated. By discussing the distribution and stability of the focused equilibrium, we obtained the parameters region that makes system chaotic. The traditional Lorenz system is simply the special case of the one in this paper. A numerical example is given to illustrate the effectiveness of the theoretical result.
Keyword	Chaos Equilibrium point Hopf bifurcation Lorenz system
URL	View the original
Language	英語English
Fulltext Access	View Full-Text via Scopus
Document Type	Journal article
Collection	University of Macau
Affiliation	1.University of Science and Technology Beijing 2.Hong Kong Baptist University
Recommended Citation GB/T 7714	Liao F.,Li A.,Tang Y.. Chaos of general modified Lorenz systems[J]. Liaoning Gongcheng Jishu Daxue Xuebao (Ziran Kexue Ban)/Journal of Liaoning Technical University (Natural Science Edition), 2009, 28(1), 158-160.
APA	Liao F.., Li A.., & Tang Y. (2009). Chaos of general modified Lorenz systems. Liaoning Gongcheng Jishu Daxue Xuebao (Ziran Kexue Ban)/Journal of Liaoning Technical University (Natural Science Edition), 28(1), 158-160.
MLA	Liao F.,et al."Chaos of general modified Lorenz systems".Liaoning Gongcheng Jishu Daxue Xuebao (Ziran Kexue Ban)/Journal of Liaoning Technical University (Natural Science Edition) 28.1(2009):158-160.

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