Abstract:
The following topics will be discussed.
1. Newton and the main problem of dynamics.
2. Poincare and the three-body problem. Homoclinic structures.
3. Structural stability following Andronov - Pontryagin.
4. Smale's horseshoe.
5. Sharkovskii order.
6. Lorenz attractor.
7. Definitions of chaos.
8. Alekseev's theorem.
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