A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results

Delshams, Amadeu; de la Llave, Rafael; Seara, Tere

doi:10.1090/S1079-6762-03-00121-5

A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: Announcement of results

Authors: Amadeu Delshams, Rafael de la Llave and Tere M. Seara
Journal: Electron. Res. Announc. Amer. Math. Soc. 9 (2003), 125-134
MSC (2000): Primary 37J40; Secondary 70H08, 37D10, 70K70
DOI: https://doi.org/10.1090/S1079-6762-03-00121-5
Published electronically: December 4, 2003
MathSciNet review: 2029474
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Abstract: We present a geometric mechanism for diffusion in Hamiltonian systems. We also present tools that allow us to verify it in a concrete model. In particular, we verify it in a system which presents the large gap problem.

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