rubber_band_ode

rubber_band_ode, a Python code which defines and solves a set of ordinary differential equations (ODE) describing a mass suspended by a spring and rubber band, which 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:

rubber_band_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:

• John D Cook,
  A spring, a rubber band, and chaos,
  https://www.johndcook.com/blog/
  26 April 2020.
• Lisa Humphreys, Ray Shammas,
  Finding Unpredictable Behavior in a Simple Ordinary Differential Equation,
  The College Mathematics Journal,
  Volume 31, Number 5, November 2000, pages 338-346.

Source Code:

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

• rubber_band_ode.png, a plot of the solution.