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 ...

Integrable systems and Hamiltonian dynamics occupy a central role in modern theoretical physics and mathematics. At their heart, these systems are characterised by the existence of a sufficient number ...

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, ...

Introduces the theory and applications of dynamical systems through solutions to differential equations.Covers existence and uniqueness theory, local stability properties, qualitative analysis, global ...

My background is in the area of mathematical physics, in particular, quantum mechanics, classical (Hamiltonian) mechanics, and dynamical systems (including fractals and chaos). In mathematical terms ...

Professor Antti Kupiainen's group develops new tools for a mathematical analysis of out of equilibrium systems. The main goal is a rigorous proof of Fourier's law for a Hamiltonian dynamical system.