UM
Chaos of general modified Lorenz systems
Liao F.1; Li A.1; Tang Y.2
2009-02-01
Source PublicationLiaoning Gongcheng Jishu Daxue Xuebao (Ziran Kexue Ban)/Journal of Liaoning Technical University (Natural Science Edition)
ISSN10080562
Volume28Issue:1Pages:158-160
AbstractThere 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.
KeywordChaos Equilibrium point Hopf bifurcation Lorenz system
URLView the original
Language英語
Fulltext Access
Document TypeJournal article
CollectionUniversity of Macau
Affiliation1.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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