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, ...
Action-angle variables are normally defined only for integrable systems, but in order to describe 3D magnetic field systems a generalization of this concept was proposed recently [1,2] that unified ...
Integrable systems occupy a unique niche in both classical and quantum physics. These systems are distinguished by the existence of sufficiently many conserved quantities – or invariants – that allow ...