Bifurcation Control for a Kind of Non-Autonomous System with Time Delay

Abstract:

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.

• Periodical: Applied Mechanics and Materials (Volumes 34-35)
• Pages: 1752-1756
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.34-35.1752
• Online since: October 2010
• Authors: Chang Zhao Qian, Zhi Wen Wang, Chuang Wen Dong, Yang Liu
• Keywords: Bifurcation, Feedback Control, Nonlinear System, Time Delay

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