Analysis of Dynamic Behavior of a Class of Nonlinear System with Time Delay

Abstract

Nonlinearity is an important characteristic of complex system, is generally believed that the nonlinearity is a necessary condition to produce complexity, no nonlinear no complexity. In addition, bifurcation, chaos in complex system, the dynamic behavior of the strange attractor, are inherently nonlinear. The nonlinear dynamic behavior, often by a certain amount (or large) nonlinear element (or subsystems) due to the combination and interaction, is essentially different from the linear element combination and interaction. In fact, the nonlinear factors in complex systems (internal and environmental) and their interactions is an important condition for the formation of complexity. Financial power system is a complex nonlinear system is a kind of typical, it may exhibit a variety of complex phenomenon and behavior, including chaos, many factors affecting the dynamic properties of the system, in which, the existence of time delays from the impact of various aspects of the stability of the whole financial system, and may even lead to financial crisis. In this paper, through the establishment of financial power system model with time delays, by using the theory of differential equations, characteristic of the system stability and chaos are discussed, from system to produce related behaviors and conditions, numerical simulation. Finally gives the conclusion of economic implications.