Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem
Hansen, Kai T.
Nonlinear Sciences - Chaotic Dynamics
arxiv: Nonlinear Sciences::Chaotic Dynamics | Astrophysics::Earth and Planetary Astrophysics
We describe the structure of bifurcations in the unbounded classical Diamagnetic Kepler problem. We conjecture that this system does not have any stable orbits and that the non-wandering set is described by a complete trinary symbolic dynamics for scaled energies larger then $\epsilon_c=0.328782\ldots$.