Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem

Details Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem Periodic orbits, symbolic dynamics and topological entropy for the restricted 3-body problem

2002-01-30

arxiv.org/abs/math/0201294v1

Mathematics

Dynamical Systems

22 pages. Includes Mathematica source file r3b.nb

Scientific paper

10.1007/s00220-002-0666-7

This paper concerns the restricted 3-body problem. By applying topological
methods we give a computer assisted proof of the existence of some classes of
periodic orbits, the existence of symbolic dynamics and we give a rigorous
lower estimate for the topological entropy.

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