Pseudo-oscillator approach to analyzing periodic solutions of nonlinear time-delay systems

摘要：

The paper presents a novel method, named pseudo-oscillator approach, so as to analyze the local dynamics, near a Hopf bifurcation, of a type of scalar nonlinear time delay systems. The basic idea of the method is to construct a pseudo-oscillator slightly perturbed from an undamped oscillator, where the disturbance is associated with the scalar nonlinear time delay system, and then to estimate the averaged power of the new system along a harmonic function. The pseudo-oscillator approach not only features a clear physical intuition and easy computation, but also yields very accurate prediction for the bifurcating periodic solution as shown in two demonstrative examples.

作者: Hai-yan Hu Zai-hua Wang

作者单位: Institute of Vibration Engineering Research, Nanjing University of Aeronautics and Astronautics,Nanjing 210015, China

会议类型: 国际会议

会议名称: The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)

会议地点: 上海

会议语种:英文

页码: 26-32

在线出版日期: 2007-06-11（万方平台首次上网日期，不代表论文的发表时间）