07-247 A. Delshams, M. Gidea, R. de la Llave, T. M.-Seara
Geometric approaches to the problem of instability in Hamiltonian systems: An informal presentation (1691K, PDF) Oct 20, 07
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Abstract. We present (informally) some geometric structures that imply instability in Hamiltonian systems. We also present some finite calculations which can establish the presence of these structures in a given near integrable systems or in systems for which good numerical information is available. We also discuss some quantitative features of the diffusion mechanisms such as time of diffusion, Hausdorff dimension of diffusing orbits, etc.

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