Self-sustained oscillations of Rayleigh and Van der Pol oscillators with intermediate feedback gains

被引：0
|
作者：
Akulenko, L.D.
Korovina, L.I.
Kumakshev, S.A.
Nesterov, S.V.
机构：
来源：
Prikladnaya Matematika i Mekhanika | 2004年 / 68卷 / 02期
关键词：
Feedback - Lyapunov methods - Mathematical techniques - Oscillations - Trajectories;
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学科分类号：
摘要：
The periodic motions of essentially nonlinear self-sustained systems described by the Rayleigh and Van der Pol equations are constructed and studied. The period and initial value of system velocity governing oscillators self-sustained oscillations for small and intermediate feedback gains are calculated on the basis of the Lyapunov-Poincare method with the help of the developed algorithm of rapid convergence. The trajectories and limited cycles are constructed with guaranteed relative and absolute accuracy.
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页码：273 / 281
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