Anti-Control of Hopf Bifurcation in the Chaotic Liu System with Symbolic Computation  

作　　者：吕卓生 段利霞 

机构地区：[1]School of Science, Beijing University of Posts and Telecommunications, Beijing 100876 [2]School of Science, North China University of Technology, Beijing 100041

出　　处：《Chinese Physics Letters》2009年第5期37-40,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 60772023 and 10432010.

摘　　要：The anti-control of bifurcation refers to the task of creating a certain bifurcation with particular desired properties and location by appropriate controls. We consider, via feedback control and symbolic computation, the problem of anti-control of Hopf bifurcation in the chaotic Liu system. We propose an anti-control scheme and show that compared with the uncontrolled system, the anti-controlled Liu system can exhibit Hopf bifurcation in a much larger parameter region. The anti-control strategy used keeps the equilibrium structure of the Liu system and can be applied to generate Hopf bifurcation at the desired location with preferred stability. We illustrate the etticiency of the anti-control approach under different operating conditions.The anti-control of bifurcation refers to the task of creating a certain bifurcation with particular desired properties and location by appropriate controls. We consider, via feedback control and symbolic computation, the problem of anti-control of Hopf bifurcation in the chaotic Liu system. We propose an anti-control scheme and show that compared with the uncontrolled system, the anti-controlled Liu system can exhibit Hopf bifurcation in a much larger parameter region. The anti-control strategy used keeps the equilibrium structure of the Liu system and can be applied to generate Hopf bifurcation at the desired location with preferred stability. We illustrate the etticiency of the anti-control approach under different operating conditions.

关 键 词：gamma-ray bursts GAMMA-RAYS RELATIVITY 

分 类 号：O322[理学—一般力学与力学基础] O1-4[理学—力学]