Lagrangian tetragons and instabilities in Hamiltonian dynamics

Michael Entov*, Leonid Polterovich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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

Fingerprint

Dive into the research topics of 'Lagrangian tetragons and instabilities in Hamiltonian dynamics'. Together they form a unique fingerprint.

Cite this