Title of article :
ANALYSIS AND CONTROLLING OF HOPF BIFURCATION FOR CHAOTIC VAN DER POL-DUFFING SYSTEM
Author/Authors :
Cai, Ping Hunan University - College of Mechanical and Vehicle Engineering, China , Cai, Ping Minnan Normal University - School of Mathematics and Statistics, China , Tang, Jia-Shi Hunan University - College of Mechanical and Vehicle Engineering, China , Li, Zhen-Bo Hunan University - College of Mechanical and Vehicle Engineering, China
Abstract :
Analysis and controlling of bifurcation for a class of chaotic Van der Pol- Duffing system with multiple unknown parameters are conducted. The stability of the equilibrium of the system is studied by using Routh-Hurwitz criterion, and the critical value of Hopf bifurcation is investigated. Based on the center manifold theory and normal form reduction, the stability index of bifurcation solution is given. Linear and nonlinear washout filter feedback controllers are designed respectively to control the bifurcation critical value and the amplitude of the limit cycle. Numerical simulation results are presented to illustrate analytical results found.
Keywords :
chaotic Van der Pol , Duffing system , Hopf bifurcation , amplitude of limit cycle , controller
Journal title :
mathematical and computational applications
Journal title :
mathematical and computational applications
