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math.DS2003
Non-contractible periodic orbits of Hamiltonian flows on twisted cotangent bundles
Cesar J. Niche
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 no…
math.DS2001
Topological entropy of a magnetic flow and the growth of the number of trajectories
Cesar J. Niche
Final version. To appear in Discrete and Continuous Dynamical Systems - A.