PHYS 200BDynamics: Deterministic, Stochastic, Statistical
Deterministic dynamics: nonlinear oscillators, reductive perturbation theory, canonical perturbation theory, small denominator problem, secularity removal. Stochastic dynamics: island overlap, Chirikov criterion, KAM theorem, Hamiltonian chaos, K-S entropy, calculating in chaotic regime, Hamiltonian Fokker-Planck theory. Statistical dynamics: from Liouville to Boltzmann via BBGKY, H-theorem, chaos and entropy, fluid equations, Chapman-Enskog expansion and transport, selected topics in kinetics.