Investigate the properties of the van der pol oscillator

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(Extended, open-ended problem) The second order, nonlinear, ordinary differential equation

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governs the oscillations of the Van der Pol oscillator. By scaling the time variable the equation can be reduced to

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Investigate the properties of the Van der Pol oscillator. In particular show that the oscillator shows limit cycle behaviour (that is, the oscillations tend to a form which is independent of the initial conditions and depends only on the parameter μ). Determine the dependence of the limit cycle period on μ.

Reference no: EM131080989

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