Based on the competition model of energy economics and financial model and its application under the condition of parameters bifurcation

摘要

This paper establishes a series of nonlinear system based on the consideration of energy economic and financial operation. Have an research to the inner complicity with three state variables: interest rate, investment and price index. Consider the characteristics under the condition of different parameters combination in the system which contains information feedback loop as a key structure, includes: a stable node, saddle point, bifurcation and Hopf bifurcation situation etc. Based on these, we have an Lyapunov index analysis and numerical simulation, and show the related expressions and characteristic figure under the condition of different parameter combination, and have an actual simulate to the energy economic operation stagnation, stable or not stable growth, inflation and energy economic depression or out of control and so on. The result has a demonstration effect to the theoretical analysis in this paper, and provides reference to the actual process of this energy economic and financial system.