Generic diffusion for a class of non-convex Hamiltonians with two degrees of freedom

2013/04/10 by Abed Bounemoura, Bounemoura, Abed, V. A. Kaloshin +1 · 1 citation
Physics and Astronomy · Mathematics · Biochemistry, Genetics and Molecular Biology · #Quantum chaos and dynamical systems #Markov Chains and Monte Carlo Methods #Diffusion and Search Dynamics

paper · pdf · doi:10.48550/arxiv.1304.3050

Abstract

In this paper, we study small perturbations of a class of non-convex integrable Hamiltonians with two degrees of freedom, and we prove a result of diffusion for an open and dense set of perturbations, with an optimal time of diffusion which grows linearly with respect to the inverse of the size of the perturbation.

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• On the Existence of Drifting Orbits for Non-Convex Hamiltonian Systems

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