Integrable Hamiltonian systems provide a rigorous framework in which complex dynamical behaviour can be understood through the existence of sufficient independent constants of motion. In particular, ...

Processes in nature can often be described by equations. In many non-trivial cases, it is impossible to find the exact solutions to these equations. However, some equations are much simpler to deal ...

Thermalization in classical systems can be well-understood by ergodicity. While ergodicity is absent for quantum systems, it is generally believed that the non-integrable quantum systems should ...