Chaos in the Glydén problem
Date
2010-02-19T23:12:36Z
Authors
Diacu, F.
Selaru, Dan
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Abstract
We consider the Glydén problem - a perturbation of the Kepler problem via an explicit function of time. For certain general classes of planar periodic perturbations, after proving a Poincaré-Melnikov-type criterion, we find a manifold of orbits in which the dynamics is given by the shift automorphism on the set of bi-finite sequences with infinitely many symbols.
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technical reports (mathematics and statistics)