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Effective stability in Hamiltonian systems in the light of Nekhoroshev's theorem

  • Antonio Giorgilli
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 342)

Abstract

The methods of classical perturbation theory are revisited in the light of a rigorous algebraic approach and of Nekhoroshev's theorem on stability over exponentially large times. The applications to the restricted three body problem and to a statistical model of a diatomic gas of identical molecules are illustrated, with the aim of giving good estimates for the size of the stability region and for the dependence on the number of degrees of freedom.

Keywords

Poisson Bracket Canonical Variable Canonical Transformation Normalization Order Integrable Hamiltonian System 
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Copyright information

© Springer-Verlag 1989

Authors and Affiliations

  • Antonio Giorgilli
    • 1
  1. 1.Dipartimento di Matematica dell'UniversitàMilanoItaly

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