Analytical and numerical solutions of the Van Der Pol Equation

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作者：
J. Stefan Inst, Ljubljana, Slovenia [1 ]
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Elektroteh Vestn Electrotech Rev | / 4-5卷 / 225-233期
关键词：
Frequency pulling - Harmonic external force - Nonlinear phenomena synchronization - Periodic pulling - Van Der Pol equation;
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摘要：
Van der Pol equation with the harmonic external force term: d2t/dt2-(0-3x2)dx/dt+ω-0$/2.r = Aω-0$/2cos(ω, t) is treated. Approximate analytical solutions are compared to numerical solutions. Three characteristical nonlinear phenomena, synchronization, frequency pulling and periodic pulling are presented.
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