Symplectic maps are the discrete-time analog of Hamiltonian motion. They arise in many
applications including accelerator, chemical, condensed-matter, plasma, and fluid physics …

Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

This paper concerns heteroclinic connections and resonance transitions in the planar
circular restricted 3-body problem, with applications to the dynamics of comets and asteroids …

Provides a new and more realistic framework for describing the dynamics of non-linear
systems. A number of issues arising in applied dynamical systems from the viewpoint of …

We discuss and give evidence for the existence of a new mechanism for quantum dynamical
tunneling. It may occur when a quantum system's underlying classical dynamics are far from …

We study transport in the two-dimensional phase space of C r diffeomorphisms (r~ 1) of two
manifolds between regions of the phase space bounded by pieces of the stable and …

To characterize transport in a deterministic dynamical system is to compute exit time
distributions from regions or transition time distributions between regions in phase space …

The scattering of a point particle from three hard discs in a plane is studied in the
semiclassical approximation, using the Gutzwiller trace formula. Using a previously …

In the past 15 years the framework and ideas from dynamical systems theory have been
applied to a variety of transport and mixing problems in oceanic flows. The motivation for this …

We combine the techniques of almost invariant sets (using tree structured box elimination
and graph partitioning algorithms) with invariant manifold and lobe dynamics techniques …