HOPF BIFURCATION ANALYSIS IN A 4D-HYPERCHAOTIC SYSTEM  

作　　者：Kangming ZHANG Qigui YANG 

机构地区：[1]School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, China [2]Department of Science and Arts, Nanehang Academy of Army, Nanehang 330013, China

出　　处：《Journal of Systems Science & Complexity》2010年第4期748-758,共11页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos. 10871074, 10671105;the Natural Science Foundation of Guangdong Province of China under Grant No. 05300162

摘　　要：This paper investigates the Hopf bifurcation of a 4-dimensional hyperchaotic system withonly one equilibrium.A detailed set of conditions are derived,which guarantee the existence of theHopf bifurcation.Furthermore,the standard normal form theory is applied to determine the directionand type of the Hopf bifurcation,and the approximate expressions of bifurcating periodic solutions andtheir periods.In addition,numerical simulations are used to justify theoretical results.

关 键 词：CHAOS Hopf bifurcation HYPERCHAOS normal form stability. 

分 类 号：O175.12[理学—数学] O415.5[理学—基础数学]