HOPF BIFURCATION AND CHAOS OF FINANCIAL SYSTEM ON CONDITION OF SPECIFIC COMBINATION OF PARAMETERS  

作　　者：Junhai MA Yaqiang CUI Lixia LIU 

机构地区：[1]Management School of Tianjin University, Tianjin 300072, China [2]Tianjin University of Finance and Economics, Tianjin 300222, China

出　　处：《Journal of Systems Science & Complexity》2008年第2期250-259,共10页系统科学与复杂性学报（英文版）

基　　金：This research was supported by the National Natural Science Foundation of China under Grant No.60641006.

摘　　要：This paper studies the global bifurcation and Hopf bifurcation of one kind of complicated financial system with different parameter combinations. Conditions on which bifurcation happens, and the critical system structure when the system transforms from one kind of topological structure to another are studied as well. The criterion for identifying Hopf bifurcation under different parameter combinations is also given. The chaotic character of this system under quasi-periodic force is finally studied. The bifurcation structure graphs are given when two parameters of the combination are fixed while the other parameter varies. The presence and stability of 2 and 3 dimensional torus bifurcation are studied. All of the Lyapunov exponents of the system with different bifurcation parameters and routes leading the system to chaos with different parameter combinations are studied. It is of important theoretical and practical meaning to probe the intrinsic mechanism of such continuous complicated financial system and to find the macro control policies for such kind of system.

关 键 词：Chaos complicated financial system equilibrium ＂drift＂ Hopf bifurcation strange non- chaotic attractor. 

分 类 号：O17[理学—数学]