The study of dynamical systems and Hamiltonian mechanics forms a cornerstone of contemporary theoretical physics and applied mathematics. Building on centuries of classical inquiry, this field ...

Hamiltonian systems lie at the heart of classical mechanics, governing the evolution of purely conservative systems where energy is rigorously maintained. Yet, even within these structured frameworks, ...

Covers dynamical systems defined by mappings and differential equations. Hamiltonian mechanics, action-angle variables, results from KAM and bifurcation theory, phase plane analysis, Melnikov theory, ...

Statistical Description of Hamiltonian Mixed Phase space systems and many Body Localization Typical physical systems follow deterministic behavior. This behavior can be sensitive to initial conditions ...