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

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Abstract

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.

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Authors and Affiliations

  1. Dipartimento di Matematica, Universita "Roma Tre," Largo S. L. Murialdo 1, 00146 Roma, Italy

    L. Biasco & L. Chierchia

  2. Dept. of Mechanics and Mathematics, Moscow State University, Vorob'evy Gory, 119899, Moscow, Russia

    D. Treschev

Authors
  1. L. Biasco
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  2. L. Chierchia
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  3. D. Treschev
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Corresponding authors

Correspondence to L. Biasco, L. Chierchia or D. Treschev.

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Biasco, L., Chierchia, L. & Treschev, D. Stability of Nearly Integrable, Degenerate Hamiltonian Systems with Two Degrees of Freedom. J Nonlinear Sci 16, 79–107 (2006). https://doi.org/10.1007/s00332-005-0692-7

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  • DOI: https://doi.org/10.1007/s00332-005-0692-7

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