Abstract

Based on the reaearch work of scholars at home and abroad. This paper studies the inner complexity of the nonlinear model caused by the changes of three state variable interest rate, investment and price index, and have a further study of a series of characteristic of the system under combine station of nonlinear economic and financial system which contains information feedback loop as a key structure includes: a stable node, saddle point, bifurcation and Hopf bifurcation situation etc. Give the mathematical analytical and the Lyapunov index of the system under the condition of parameter combination. Then have the numerical simulation to the characteristics. For example economic operation stagnation, stable or not stable growth, inflation, and economic depression or economic situation out of control and so on, the numerical simulation results demonstrate the validity of the theoretical analysis, the results provide reference for this kind of economic and financial system and develop a way to the research of practical problems.

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