Chaos on the Web

Physics 161: Introduction to Chaos

Advanced Topics

There are numerous directions to extend the theoretical analysis of the period doubling route to chaos. In this chapter the following topics are covered:

1. Extension to higher dimensions
2. Chaotic behavior above onset
3. Effect of external noise
4. Separation of points around the orbit
5. Power spectrum

You can read the PDF version. The demonstrations illustrate period doubling bifurcations in higher dimensions, in this case the Henon map, and the chaotic behavior above onset.