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Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromorphic in the state variables perturbation. The obtained results are different from the previous ones in the literature, which mainly …