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Global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback |
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| Authors: | ZHANG Li WANG HuaiLei & HU HaiYan MOE Key Lab of Mechanics Control of Aerospace Structures Nanjing University of Aeronautics Astronautics Nanjing China School of Aerospace Engineering Beijing Institute of Technology Beijing |
| Affiliation: | ZHANG Li1,WANG HuaiLei1 & HU HaiYan1,2 1 MOE Key Lab of Mechanics , Control of Aerospace Structures,Nanjing University of Aeronautics , Astronautics,Nanjing 210016,China,2 School of Aerospace Engineering,Beijing Institute of Technology,Beijing 100081 |
| Abstract: | This paper presents both analytical and numerical studies on the global view of Hopf bifurcations of a van der Pol oscillator with delayed state feedback. Based on a detailed analysis of the stability switches of the trivial equilibrium of the system, the stability charts are given in a parameter space consisting of the time delay and the feedback gains. The center manifold reduction and the normal form method are used to study Hopf bifurcations with respect to the time delay. To gain an insight into the pe... |
| Keywords: | Hopf bifurcation global view center manifold reduction method of multiple scales collocation scheme |
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