Integrable systems represent a unique class of mathematical models in which the dynamics can be exactly solved through the existence of a sufficient number of conserved quantities. They offer a ...

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 ...

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 ...

The dynamics of volume preserving maps can model a variety of mixing problems ranging from microscopic granular mixing, to dispersion of pollutants over our planet's atmosphere. We study a general ...