Calculating the Parameters of a High-Dimensional Hopf Bifurcation

Abstract

It is well known that it is difficult to analyze the existence and stability of high-dimensional Hopf bifurcations of multi-dimensional dynamical systems. We compiled a Mathematica program to calculate the parameters for analyzing the stability of the periodic solution and the occurrence of high-dimensional Hopf bifurcation of multi-dimensional dynamical systems. It is easy to judge the direction and the stability of bifurcation via calculating some parameters of high-dimensional Hopf bifurcation by using our program.