vanderpol_ode

vanderpol_ode, a Python code which sets up and solves the ordinary differential equations (ODE) which represent the van der Pol oscillator.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license

Languages:

vanderpol_ode is available in a MATLAB version and an Octave version and a Python version.

Related Data and Programs:

python_ode, Python codes which sets up various systems of ordinary differential equations (ODE).

Reference:

1. John D Cook,
   Calculating the period of Van der Pol Oscillators,
   https://www.johndcook.com/blog/2019/12/26/van-der-pol-period/
   26 December 2019.
2. T Kanamaru,
   Van der Pol oscillator,
   Scholarpedia, 2(1), 2202, (2007).

Source Code:

• vanderpol_ode.py, the source code.
• vanderpol_ode.sh, runs all the tests.
• vanderpol_ode.txt, the output file.

• vanderpol_solve_ivp_plot.png, plots y(t) and y'(t).
• vanderpol_solve_ivp_phase.png, a phase plot of y(t) versus y'(t).
• vanderpol_solve_ivp_spacing.png, a plot of the size of the intervals between successive times when y(t) is zero, from which the period of the solution can be determined.