Lagrangian tetragons and instabilities in Hamiltonian dynamics

Michael Entov*, Leonid Polterovich

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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


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