Bifurcation Control for a Kind of Non-Autonomous System with Time Delay
A forced van der Pol system with two time-delays is studied. The central aim is analyzing primary resonance of this system. Perturbation method is used to obtain the average equation and bifurcation equation with time-delays. Based on the average equation, the stable region of this system is discussed. Based on the bifurcation equation, the multivalued property of response amplitude is studied. The result indicates that this system can be well controlled with time delays.
Shengyi Li, Yingchun Liu, Rongbo Zhu, Hongguang Li, Wensi Ding
C. Z. Qian et al., "Bifurcation Control for a Kind of Non-Autonomous System with Time Delay", Applied Mechanics and Materials, Vols. 34-35, pp. 1752-1756, 2010