English

Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem

chao-dyn 2016-08-31 v1 Chaotic Dynamics

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 ϵc=0.328782\epsilon_c=0.328782\ldots.

Keywords

Cite

@article{arxiv.chao-dyn/9502006,
  title  = {Bifurcations and Complete Chaos for the Diamagnetic Kepler Problem},
  author = {Kai T. Hansen},
  journal= {arXiv preprint arXiv:chao-dyn/9502006},
  year   = {2016}
}

Comments

15 pages PostScript uuencoded with figures

R2 v1 2026-07-22T09:54:55.581Z