page_title: Van der Pol oscillator
hierarchical_section_title: Van der Pol oscillator
caption_attribution_description: English: Phase portrait of the unforced Van Der Pol Oscillator. Made by myself with MuPad.
context_page_description: In dynamics, the Van der Pol oscillator is a non-conservative oscillator with non-linear damping. It evolves in time according to the second-order differential equation:
  where x is the position coordinate—which is a function of the time t, and μ is a scalar parameter indicating the nonlinearity and the strength of the damping.
context_section_description: In dynamics, the Van der Pol oscillator is a non-conservative oscillator with non-linear damping. It evolves in time according to the second-order differential equation:
  where x is the position coordinate—which is a function of the time t, and μ is a scalar parameter indicating the nonlinearity and the strength of the damping.
caption: Phase portrait of the unforced Van der Pol oscillator, showing a limit cycle and the direction field
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