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arxiv: math/0201294 · v1 · submitted 2002-01-30 · 🧮 math.DS · math-ph· math.MP

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

classification 🧮 math.DS math-phmath.MP
keywords topologicalbodydynamicsentropyexistencegiveorbitsperiodic
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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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