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Invariant tori for non conservative perturbations of integrable systems
Authors:Dario Bambusi  Giuseppe Gaeta
Institution:(1) Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy, e-mail: bambusi@mat.unimi.it, IT;(2) Departamento de Matemàticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Spain, e-mail: gaeta@math.uc3m.es and gaeta@roma1.infn.it, ES
Abstract:We prove some results on the persistence of invariant tori for non hamiltonian perturbations of integrable systems. We also obtain persistence for the case where the unperturbed torus is resonant. In such a case the persistence of invariant tori is ensured for small, but outside of a neighbourhood of zero. Received June 1999 – Revised October 1999
Keywords:: Non integrable systems  resonance  
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