Results For The Unforced Oscillator
Two interesting regimes for the characteristics of the unforced oscillator are:
- When μ = 0, i.e. there is no damping function, the equation becomes:
- This is a form of the simple harmonic oscillator and there is always conservation of energy.
- When μ > 0, the system will enter a limit cycle, where energy continues to be conserved. Near the origin x = dx/dt = 0 the system is unstable, and far from the origin the system is damped. If the system does not begin precisely within a limit cycle, energy will be lost or gained - and work will have been done.
Read more about this topic: Van Der Pol Oscillator
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