Instabilities in Hamiltonian dynamics and symplectic topology

Abstract: I outline an existence mechanism, based on symplectic topology, for orbits of Hamiltonian flows connecting a pair of disjoint subsets in the phase space. Applications include "superconductivity channels" in nearly integrable systems, and contact dynamics (joint with Michael Entov).

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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