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
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;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
