Non-contractible periodic orbits in Hamiltonian dynamics on tori

Abstract

We show that the presence of one non-degenerate, non-contractible periodic orbit of a Hamiltonian on the standard symplectic torus implies the existence of infinitely many simple non-contractible periodic orbits.

10 pages, minor revision (v3)

References in corpus (1)

• Non-contractible Periodic Orbits in Hamiltonian Dynamics on Closed Symplectic Manifolds

Cited by in corpus (7)

• Hamiltonian Pseudo-rotations of Projective Spaces
• On the existence of infinitely many non-contractible periodic orbits of Hamiltonian diffeomorphisms of closed symplectic manifolds
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• On the Hofer-Zehnder conjecture for non-contractible periodic orbits in Hamiltonian dynamics
• Non-contractible orbits for Hamiltonian functions on Riemann surfaces
• Invariant Sets and Hyperbolic Closed Reeb Orbits
• On the Hofer-Zehnder conjecture for semipositive symplectic manifolds