chen_ode

chen_ode, a Python code which sets up and solves the Chen 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:

chen_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. Guanrong Chen, Tetsushi Ueta,
   Yet another chaotic attractor,
   International Journal of Bifurcation and Chaos in Applied Sciences and Engineering,
   Volume 9, Number 7, 1999, pages 1465-1466.
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:

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

• chen_ode_components.png, a plot of (T,X(T)), (T,Y(T)), and (T,Z(T)).
• chen_ode_3d.png, a 3D plot of (X(T),Y(T),Z(T)).