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On a notion of weak stability and its relevance for celestial mechanics and molecular dynamics

  • 2. Tools of Ergodic Theory
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Book cover Ergodic Concepts in Stellar Dynamics

Part of the book series: Lecture Notes in Physics ((LNP,volume 430))

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Abstract

The stability problem in Hamiltonian dynamics is discussed in the light of Nekhoroshev's theorem. This guarantees a form of weak stability, namely referred to finite (rather than infinite) times. Applications are discussed for the restricted problem of three bodies and for the problem of energy equipartition in statistical mechanics.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, 20133, Milano, Italy

    Luigi Galgani & Antonio Giorgilli

Authors
  1. Luigi Galgani
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  2. Antonio Giorgilli
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V. G. Gurzadyan D. Pfenniger

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© 1994 Springer-Verlag

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Galgani, L., Giorgilli, A. (1994). On a notion of weak stability and its relevance for celestial mechanics and molecular dynamics. In: Gurzadyan, V.G., Pfenniger, D. (eds) Ergodic Concepts in Stellar Dynamics. Lecture Notes in Physics, vol 430. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0058090

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  • DOI: https://doi.org/10.1007/BFb0058090

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57929-8

  • Online ISBN: 978-3-540-48386-1

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