duffing_ode

duffing_ode, a Python code which sets up and solves Duffing's second-order ordinary differential equation (ODE) whose solution can exhibit chaotic behavior.

Licensing:

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

Languages:

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

Related Data and codes:

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

Reference:

• John D Cook,
  Duffing equation for nonlinear oscillator,
  https://www.johndcook.com/blog/2018/04/22/duffing-equation/
  Posted 22 April 2018

Source Code:

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

• duffing_solve_ivp_phase.png, a plot of the solution phase.
• duffing_solve_ivp_y1.png, a plot of y1(t).
• duffing_solve_ivp_y2.png, a plot of y2(2).