langford_ode

langford_ode, an Octave code which sets up and solves the Langford 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:

langford_ode is available in a MATLAB version and an Octave version.

Related Data and codes:

langford_ode_test

octave_ode, an Octave code which sets up various ordinary differential equations (ODE).

Reference:

1. William Langford,
   Numerical studies of torus bifurcations,
   Internationale Schriftenreihe zur numerischen Mathematik,
   Volume 70, Birkhaeuser, 1984, pages 285-295.
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:

• langford_deriv.m, the right hand side of the Langford ODE.
• langford_parameters.m, parameters of the Langford ODE.