Bifurcation analysis of fractional duffing system based on improved short memory principle method

In this paper, the dynamic characteristics of fractional Duffing system are analyzed and studied by using improved short memory principle method. This method has small amount calculation high precision, can effectively improve problem large caused order. The influence frequency change on performance is nonlinear analysis methods, such as Phase Portrait, Poincare Map Bifurcation Diagram. Moreover, behaviour when order excitation amplitude changes investigated. shows that from 0.43 to 1.22, bifurcation diagram contains four periodic three chaotic motion regions. Periodic windows found in It confirmed external damping have a greater impact dynamics. Thus, attention shall be paid design