Analysis on Hopf Bifurcation and Complexity of one Kind Financial System
From a mathematical model of one kind complicated financial system, we make a dynamic analysis on this kind of system on the basis of studies of scholars both at home and abroad. We find characteristics of various dynamic systems driven by different parameters, and study possible Hopf bifurcation as well as the relationship between Hopf bifurcation and the values of parameters. Besides, we make use of algorithm to analyze complexity of the system. The results of numerical simulation prove that the theory used in the thesis is correct. This study is regarded with good theoretical and practical value.
Q. Zhang and J. H. Ma, "Analysis on Hopf Bifurcation and Complexity of one Kind Financial System", Applied Mechanics and Materials, Vols. 48-49, pp. 813-816, 2011