Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

Preprint English OPEN
Hansen, Kai T. (1995)
  • Related identifiers: doi: 10.1103/PhysRevE.51.1838
  • Subject: 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 $\epsilon_c=0.328782\ldots$.
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