On scattering trajectories of dynamical systems.

Abstract

Dynamical systems on R-n presenting geometric chaos, i.e., open domains where bounded and unbounded orbits are intermingled, have been constructed. The opposite situation (open scattering) has been studied for integrable Hamiltonian and non-Hamiltonian vector fields and for equations of type x=-del V(x) when the potential has the form V=a(r)+b(r)F(theta) in spherical coordinates.