From regular dynamics to chaos

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.