Stability And Hopf Bifurcation Analysis For A Class Of Financial System

Recently, Economic dynamics becomes more and more outstandingin mainstream economics which has made a great influence onMicro-Economics and Macro-Economics widely. By using the knowledgeof nonlinear dynamics, we establish the economic and financial modelwith practical significance, such as the irregular microeconomicfluctuations, irregular macroeconomic fluctuations, the irregulareconomic growth and the economic structure change in the process ofeconomic growth. And it plays an important part in propelling the furtheranalysis of the economic and social development.This paper mainly studies a class of financial system model withdelayed feedback. We consider the stability and bifurcation problem ofthe financial system model, analyze the influence of the factors andfurther analyze the director of the bifurcation and the stability of thebifurcating periodic solution. The mainly task as follows: First, for thefinancial system model with delayed feedback, we analyze the stability ofthe systematic equilibrium points and the existence of Hopf bifurcationby using method of theoretical proof. Second using the center manifoldtheory and the standard type method, we calculate some importantspecific computational formulas which decide the director of Hopfbifurcation and the stability of bifurcating periodic solution. Third,according to the experimental data, we can prove the correctness of ourresult by using Matlab to make numerical simulation to differentparameters respectively.