EFFECTS OF TIME DELAYED VELOCITY FEEDBACKS ON SELF-SUSTAINED OSCILLATOR WITH EXC

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EFFECTS OF TIME DELAYED VELOCITY FEEDBACKS ON SELF-SUSTAINED OSCILLATOR WITH EXCITATION

Both the primary resonant solutions and their bifurcations due to time delayed velocity feedbacks used in a self-sustained oscillator with excitation were further investigated. A model was proposed by adding linear and nonlinear time delayed feedbacks to a representative non-autonomous system( with external forcing ). The stability condition of the linearized system at trivial equilibrium was discussed, which leads to a critical stability boundary where periodic solutions may occur. The main attention was focused on bifurcations from the primary resonant solutions. It is found that the stable primary resonant solution may appear periodically in the time delay. Meanwhile, the unstable regions for such solutions are also obtained, predicting the occurrence of quasi-periodic motions.水利论文$z9X3z2{+BN*LI$Q

作 者: 徐鉴 陈予恕  
作者单位:徐鉴(Key Laboratory of Solid Mechanics of MEC, Department of Engineering Mechanics and Technology, Tongji University, Shanghai 200092, P. R. China)
_|b h&@,_~YE0陈予恕(Department of Mechanics, Tianjin University, Tianjin 300072, P.R. China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2004 25(5) 
分类号:O322 O193 
关键词:nonlinear dynamics   delayed differential equation   bifurcation  
机标关键词:time delayedlinear and nonlinearstability conditionstability boundaryperiodic solutionsused in 
基金项目:国家自然科学基金 
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