autocatalytic_ode

autocatalytic_ode, a Python code which sets up and solves the autocatalytic ordinary differential equation (ODE) which has chaotic behavior and an attractor.

Licensing:

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

Languages:

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

Related Data and Programs:

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

Reference:

1. Peter Gray, Stephen Scott,
   Chemical oscillations and instabilities,
   Interational Series of Monographs on Chemistry,
   Volume 21, Oxford University Press, 1990.
2. Stephen Lucas, Evelyn Sander, Laura Taalman,
   Modeling dynamical systems for 3D printing,
   Notices of the American Mathematical Society,
   Volume 67, Number 11, December 2020, pages 1692-1705.

Source Code:

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

• autocatalytic_ode_components.png, a plot of the components over time.
• autocatalytic_ode_3d.png, a 3D plot of (X(T),Y(T),Z(T)).