Orbits of the Chirikov Standard Map

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

The standard map describes a universal, generic behavior of area-preserving maps with divided phase space in which integrable islands of stability are surrounded by chaotic regions. Orbits of the Chirikov standard map are generated by iterating the map times using different initial points. Two orbits are plotted initially; you can add or delete new ones with Alt+Click in the graphic. Three different orbit colors are used cyclically, so that a surface of sections on the map are apparent.

Contributed by: Erik Mahieu (March 2011)
Open content licensed under CC BY-NC-SA



Ample information can be found at the Scholarpedia entry for Chirikov standard map,and at the website dedicated to Boris Chirikov, inventor of the standard map.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.