Title
Hopf bifurcation and chaos of financial system on condition of specific combination of parameters.
Abstract
This paper studies the global bifllrcation 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.
Year
DOI
Venue
2008
10.1007/s11424-008-9109-8
J. Systems Science & Complexity
Keywords
DocType
Volume
equilibrium "drift",chaos,hopf bifurcation,complicated financial system,strange nonchaotic attractor.
Journal
21
Issue
ISSN
Citations 
2
15597067
6
PageRank 
References 
Authors
0.84
1
3
Name
Order
Citations
PageRank
zhaoqiang1285.82
Guangtian Zhu2206.00
Dexing Feng3244.82