DocumentCode
1701820
Title
Hopf bifurcation analysis in a novel nonlinear system
Author
Du Wenju ; Zhang Jiangang ; Yu Jianning ; An Xinlei
Author_Institution
Dept. of Math., Lanzhou Jiaotong Univ., Lanzhou, China
fYear
2013
Firstpage
773
Lastpage
777
Abstract
The paper mainly focuses on a novel nonlinear system. More precisely, we study the stability of the equilibrium points and basic dynamic properties of the nonlinear system by means of nonlinear dynamics theory. The local stability of equilibrium is analyzed and existence of Hopf bifurcation is established. Moreover, formulas for determining the stability and direction of bifurcating periodic solutions are derived by center manifold theorem and normal form theory. Finally, numerical simulation is given to illustrate the theoretical analysis.
Keywords
bifurcation; nonlinear dynamical systems; stability; Hopf bifurcation analysis; bifurcating periodic solution direction; bifurcating periodic solution stability; center manifold theorem; equilibrium points stability; nonlinear dynamics theory; nonlinear system; normal form theory; Bifurcation; Chaos; Nonlinear dynamical systems; Numerical stability; Stability analysis; Hopf bifurcation; Lyapunov exponents; Nonlinear system; Normal form theory; Poincaré sections;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2013 32nd Chinese
Conference_Location
Xi´an
Type
conf
Filename
6639532
Link To Document