Lagrange's equation of Motion, Hamilton formulation, Phase-space considerations, Liouville theorem, Poisson brackets, Action-angle variables, Hamilton-Jacobi Equation, Integrable systems, Canonical Perturbation theory, KAM theorem, Phase-space mapping, Henon, Standard and tangent Maps, Local and Global Chaos, Dissipative systems. Weekly hours: 3 Lecture hours
Lagrange's equation of Motion, Hamilton formulation, Phase-space considerations, Liouville theorem, Poisson brackets, Action-angle variables, Hamilton-Jacobi Equation, Integrable systems, Canonical Perturbation theory, KAM theorem, Phase-space mapping, Henon, Standard and tangent Maps, Local and Global Chaos, Dissipative systems. Weekly hours: 3 Lecture hours