### Ergodic Theory and Visualization

Levnajic & Mezic (2008 ) use novel techniques of scientific visualization for ergodic maps to graphically illustrate dynamics on invariant sets. A prototype example is the the Chirikov standard map, which is an area-preserving map with a wide variety of dynamical behavior, including chaos.

The aim of this project is to implement and extend the Levnajic & Mezic approach, in particular, as a test case, to the Arnold cat-map on the two-dimensional torus:

### References & readings

- Zoran Levnajic & Igor Mezic (2008 ) Ergodic Theory and Visualization I: Visualization of Ergodic Partition and Invariant Sets(ergodic_theory_and_vizualization)
- Freeman J. Dyson & Harold Falk (1992)Period of a Discrete Cat Mapping. American Mathematical Monthly, Vol. 99(7),603-614.

Advertisements