A method to find unstable periodic orbits for the diamagnetic Kepler Problem

Details A method to find unstable periodic orbits for the diamagnetic Kepler Problem A method to find unstable periodic orbits for the diamagnetic Kepler Problem

2000-04-03

arxiv.org/abs/nlin/0004004v1

Physica Scripta 61 (2000) 406-411

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1238/Physica.Regular.061a0040

A method to determine the admissibility of symbolic sequences and to find the unstable periodic orbits corresponding to allowed symbolic sequences for the diamagnetic Kepler problem is proposed by using the ordering of stable and unstable manifolds. By investigating the unstable periodic orbits up to length 6, a one to one correspondence between the unstable periodic orbits and their corresponding symbolic sequences is shown under the system symmetry decomposition.

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