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Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

Kai T. Hansen
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Abstract

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 $ε_c=0.328782\ldots$.

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Kai T. Hansen. 1995-02-06. Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem. https://doi.org/10.1103/physreve.51.1838

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