Title :
Calculating the Parameters of a High-Dimensional Hopf Bifurcation
Author :
Du, Lijuan ; Huang, Dongwei
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
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.
Keywords :
multidimensional systems; nonlinear control systems; nonlinear dynamical systems; stability; Mathematica program; high-dimensional Hopf bifurcation; multidimensional dynamical systems; stability analysis; Asymptotic stability; Bifurcation; Eigenvalues and eigenfunctions; Jacobian matrices; Numerical stability; Stability criteria; Hopf bifurcation parameter; Mathematica; multi-dimensional dynamical system; stability;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.44
