Alternative method to find orbits in chaotic systems

Details Alternative method to find orbits in chaotic systems Alternative method to find orbits in chaotic systems

1995-07-09

arxiv.org/abs/chao-dyn/9507003v1

Nonlinear Sciences

Chaotic Dynamics

5 pages, uuencoded compressed tar PostScript file

Scientific paper

10.1103/PhysRevE.52.2388

We present here a new method which applies well ordered symbolic dynamics to find unstable periodic and non-periodic orbits in a chaotic system. The method is simple and efficient and has been successfully applied to a number of different systems such as the H\'enon map, disk billiards, stadium billiard, wedge billiard, diamagnetic Kepler problem, colinear Helium atom and systems with attracting potentials. The method seems to be better than earlier applied methods.

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