Lagrangian tetragons and instabilities in Hamiltonian dynamics

Michael Entov, Leonid Polterovich

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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.

Original languageEnglish
Pages (from-to)13-34
Number of pages22
JournalNonlinearity
Volume30
Issue number1
DOIs
StatePublished - Jan 2017

Keywords

  • Hamiltonian system
  • Lagrangian submanifold
  • Poisson bracket
  • connecting trajectory
  • symplectic manifold

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics

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