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Invariant tori for non conservative perturbations of integrable systems

  • Dario Bambusi
  • Giuseppe Gaeta

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 \( \epsilon \) small, but outside of a neighbourhood of zero.

Key words: Non integrable systems, resonance. 

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Copyright information

© Birkhäuser Verlag, Basel, 2001

Authors and Affiliations

  • Dario Bambusi
    • 1
  • Giuseppe Gaeta
    • 2
  1. 1.Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy, e-mail: bambusi@mat.unimi.itIT
  2. 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.itES

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