Journal of Jilin University Science Edition

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Qualitative Analysis and Optimal Control ofa Nonlinear Lorenz-Like Model

LI Yin1,2, LV  Xianrui3, ZHAO Xin4, JIANG Bo5   

  1. 1. School of Mathematics and Information Science, Shaoguan University, Shaoguan 512005, Guangdong Province,China; 2. School of Mathematics and Computational Science, Sun YatSen University, Guangzhou 510275, China;3. College of Mathematics, Jilin University, Changchun 130012, China;4. College of Information Technology, Jilin Agricultural University, Changchun 130118, China;5. Faculty of Science, National University of Singapore, Singapore 119077, Singapore1. School of Mathematics and Information Science, Shaoguan Univers
  • Received:2013-09-12 Online:2014-05-26 Published:2014-08-27
  • Contact: ZHAO Xin E-mail:jlndzx@sina.com

Abstract:

We realized the Hopf bifurcation and optimal control of LorenzLike models via the qualitative analysis and optimal control methods, and obtained the dynamical evolution mechanism, the conditions of bifurcation; variable synchronous controller and the stable conditions of the error system.

Key words: LorenzLike model, qualitative analysis, Hopf bifurcation, variables generalized control

CLC Number: 

  • O175.12