Upper bounds on arnold diffusion times via Mather theory

By Ugo Bessi, L. Chierchia, Enrico Valdinoci. 2001

55 citations recorded by the source corpus.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/071267beb5a4ef3270ddcf583fafaced4aac70c6

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In Mathematical Physics

1. Ke Zhang

In Nuclear and High Energy Physics

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Citations in the corpus

• Speed of Arnold diffusion for analytic Hamiltonian systems (2011, methodology): “Another direction is that one could set = 1 and discuss the dependency of the diusion time on . In [2] this time has been shown to be polynomial in , see also [ 6 ] for a survey of a variety of examples.”
• GEOMETRIC PROPERTIES OF THE SCATTERING MAP OF A NORMALLY HYPERBOLIC INVARIANT MANIFOLD (2008, unknown): “Certainly, in the variational theories concerned with local critical points [5–7] the difference between primitive functions plays a role.”