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BIFURCATION ANALYSIS AND FEEDBACK CONTROL OF A 3D CHAOTIC SYSTEM 被引量：11

BIFURCATION ANALYSIS AND FEEDBACK CONTROL OF A 3D CHAOTIC SYSTEM
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摘要 In this paper, we analyze a three-dimensional differential system derived from the Chen system based on the first Lyapunov coefficient, and apply it to investigate the local bifurcation. And we present some insights on bifurcation and stability, also obtain some conditions for subcfitical and supercritical. Finally, we give some numerical simulation studies of system in order to verify analytic results. In this paper, we analyze a three-dimensional differential system derived from the Chen system based on the first Lyapunov coefficient, and apply it to investigate the local bifurcation. And we present some insights on bifurcation and stability, also obtain some conditions for subcfitical and supercritical. Finally, we give some numerical simulation studies of system in order to verify analytic results.
作者 Zhen Wang
机构地区 Shaanxi University of Science and Technology
出处 《Analysis in Theory and Applications》 2007年第4期343-353,共11页 分析理论与应用（英文刊）
关键词 Hopf bifurcation Chaotic System Homogeneous polynomials Hopf bifurcation, Chaotic System, Homogeneous polynomials
分类号 O175.12 [理学—基础数学]
  • 相关文献

参考文献11

  • 1王琳,倪樵,刘攀,黄玉盈.一种新的类Lorenz系统的混沌行为与形成机制[J].动力学与控制学报,2005,3(4):1-6. 被引量：10
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  • 6Ueta,T,Chen,G.Bifurcation Analysis of Chen’s Attractor[].International Journal of Bifurcation and Chaos.2000
  • 7L,J.Chen,G.Zhang,S.A new Chaotic Attractor Coined[].International Journal of Bifurcation and Chaos.2002
  • 8L,J.Chen,G.Zhang,S.Controlling in between the Lorenz and the Chen Systems[].International Journal of Bifurcation and Chaos.2002
  • 9L,J.Zhou,T.Chen,G.Zhang,S.The Compound of Structure of Chen‘s Attractor[].International Journal of Bifurcation and Chaos.2002
  • 10L,J.Chen,G.Zhang S.The Compound of Structure of Chen‘s Attractor[].Chaos Solitons Fractals.2002

二级参考文献10

  • 1[1]Sparrow C.The Lorenz equations:bifurcations,chaos,and strange attractor.New York:Springer,1982
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共引文献9

同被引文献64

引证文献11

二级引证文献44

Analysis in Theory and Applications
2007年 第4期

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