Rendering Chaotic Attractor Spectrum of Forced Duffing Equation

Taking the famous forced Duffing equation as an example, we in this paper introduce how to render chaotic attractor spectrum of ordinary differential dynamic system based on graphic modelling and numerical simulation methods. The basic non-linear theory, such as Melnikov´s method, is first employed to analyze the characters of Duffing equation. Then, Simumlink based technology is used to graphically model the system and to sample data of system dynamic states. After analyzing bifurcation graph created by numerical calculation, a set of important structure parameters are obtained and are further used to render chaotic attractor spectrum of the Duffing system.