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math.DS2013
Perturbations of geodesic flows by recurrent dynamics
Marian Gidea, Rafael de la Llave
We consider a geodesic flow on a compact manifold endowed with a Riemannian (or Finsler, or Lorentz) metric satisfying some generic, explicit conditions. We couple the geodesic flo…
math.DS2013
Global diffusion on a tight three-sphere
Marian Gidea
We consider an integrable Hamiltonian system weakly coupled with a pendulum-type system. For each energy level within some range, the uncoupled system is assumed to possess a norma…