Journal of Nonlinear Science

, Volume 16, Issue 1, pp 79–107 | Cite as

Stability of Nearly Integrable, Degenerate Hamiltonian Systems with Two Degrees of Freedom

  • L. Biasco
  • L. Chierchia
  • D. Treschev


We consider the problem of the stability of action variables in properly degenerate, nearly integrable Hamiltonian systems and prove, in particular, stability results for systems with two degrees of freedom. An application of such results to celestial mechanics is presented.


Economic Theory Hamiltonian System Stability Result Action Variable Celestial Mechanic 
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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Dipartimento di Matematica, Universita "Roma Tre," Largo S. L. Murialdo 1, 00146 RomaItaly
  2. 2.Dept. of Mechanics and Mathematics, Moscow State University, Vorob'evy Gory, 119899, MoscowRussia

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