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Instabilities in the Restricted Three Body Problem


por el

Dr. Pablo Roldán


Instituto Tecnoógico Autónomo de México, México

Resumen:
One of the problems of Hamiltonian systems that appears naturally in applications and has attracted attention for a long time is whether the effect of periodic small perturbations of these models accumulate over ti- me and lead to large effect (instability) or whether these effects average out (stability). Recently, there has been a lot of progress in the mathema- tical theory of these problems and a wide variety of methods have been suggested. For this talk, I will concentrate in the classical Restricted Three-Body Problem of mechanics. I will review the main results that we have obtained over the last years, showing instability of trajectories in certain regimes. I will also describe the methods that we use, which are quite diverse (analytic, geometric, topologic, and numeric). If time permits, I will also propose some open problems.

Miércoles 27 de abril, 2016
18:00 hrs.
Salón 203, Edificio Anexo, IIMAS

Informes: coloquiomym@gmail.com, o al 5622-3564.