(Extended, open-ended problem) The second order, nonlinear, ordinary differential equation
governs the oscillations of the Van der Pol oscillator. By scaling the time variable the equation can be reduced to
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.