Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

Details Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

1995-02-06

arxiv.org/abs/chao-dyn/9502006v1

Nonlinear Sciences

Chaotic Dynamics

15 pages PostScript uuencoded with figures

Scientific paper

10.1103/PhysRevE.51.1838

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 $\epsilon_c=0.328782\ldots$.

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