Hopf Bifurcation of Hénon Map Analysis and Circuit Implementation Based on PSpice
Wen Guilin · Journal of Hunan University · 2007
A new kind of bifurcation criterion and a projection method were implemented to obtain the critical value of Hopf bifurcation of three-order Henon map and its corresponding stability analysis.According to mathematic model,a circuit analogue of Hopf bifurcation was constructed,and the corresponding simulation model was established with OrCAD/PSpice simulation platform.Finally,the Hopf bifurcation phenomenon of a generalized Henon map was successfully simulated.The results in circuit implementation have indicated that the circuit is functional.It has been demonstrated that the proposed approach can be an effective and visional tool in nonlinear dynamic field.