Periodic Orbits of Hamiltonian Systems

Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores compact sets, extreme values, and function theorems on bounded sets.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Explores the problem of a falling stone hitting the moon, focusing on gateways to the moon and local Floer homology.

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.