big-O notation |
metric spaces |
1. Dynamical systems
continuous time |
discrete time | diffeos |
2. From order to chaos
period- doubling | scaling |
tangent bifurcations |
3. Chaos
chaos |
doubling map |
4. Chaos and probability
measure |
invariant measure | conjugacy |
5. Fractals
2D maps | fractals | IFS | figures |