Lagrangian tetragons and instabilities in Hamiltonian dynamics
Symplectic Geometry
2021-01-12 v3 Dynamical Systems
Abstract
We present a new existence mechanism, based on symplectic topology, for orbits of Hamiltonian flows connecting a pair of disjoint subsets in the phase space. The method involves function theory on symplectic manifolds combined with rigidity of Lagrangian submanifolds. Applications include superconductivity channels in nearly integrable systems and dynamics near a perturbed unstable equilibrium.
Cite
@article{arxiv.1510.01748,
title = {Lagrangian tetragons and instabilities in Hamiltonian dynamics},
author = {Michael Entov and Leonid Polterovich},
journal= {arXiv preprint arXiv:1510.01748},
year = {2021}
}
Comments
An inaccuracy in the published version corrected, see a footnote on p.12