Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
For many classes of symplectic manifolds, the Hamiltonian flow of a function with sufficiently large variation must have a fast periodic orbit. This principle is the base of the notion of Hofer-Zehnder capacity and some other symplectic invariants and leads to numerous results concerning existence of periodic orbits of Hamiltonian …