Lagrangian tetragons and instabilities in Hamiltonian dynamics

Michael Entov, Leonid Polterovich

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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
Issue number1
StatePublished - Jan 2017


  • 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


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

Cite this