chirikov_iteration

chirikov_iteration, a MATLAB code which sets up and applies the Chirikov map repeatedly to a given (x,y) initial condition.

Licensing:

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

Languages:

chirikov_iteration is available in a MATLAB version.

Related Data and codes:

chirikov_iteration_test

Reference:

1. Boris Chirikov,
   A universal instability of many-dimensional oscillator systems,
   Physics Reports,
   Volume 52, Number 5, May 1979, pages 263-379.
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:

• chirikov_map.m, applies one step of the Chirikov iteration.
• chirikov_parameters.m, parameters of the Chirikov iteration.
• map_iteration.m, applies n steps of a map iteration.