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Recent developments in the dynamics of nonlinear Hamiltonian systems with many degrees of freedom

  • 2. Tools of Ergodic Theory
  • Conference paper
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Ergodic Concepts in Stellar Dynamics

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

Abstract

A concise account is given here of some recent results concerning the dynamical properties of Hamiltonian systems with many degrees of freedom. Some of the main theoretical points of this research field are also briefly discussed and compared with the outcomes of recent numerical simulations.

New results, obtained with a differential geometrical approach to Hamiltonian dynamics, are also presented together with a mention of their consequences for a deeper understanding of the dynamical properties of self-gravitating N-body systems.

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Author information

Authors and Affiliations

  1. Osservatorio Astrofisico di Arcetri, Largo Enrico Fermi 5, 50125, Firenze, Italy

    Marco Pettini

  2. Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, Italy

    Marco Pettini

Authors
  1. Marco Pettini
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V. G. Gurzadyan D. Pfenniger

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© 1994 Springer-Verlag

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Pettini, M. (1994). Recent developments in the dynamics of nonlinear Hamiltonian systems with many degrees of freedom. 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/BFb0058091

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  • DOI: https://doi.org/10.1007/BFb0058091

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57929-8

  • Online ISBN: 978-3-540-48386-1

  • eBook Packages: Springer Book Archive

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