Introduction to the perturbation theory of Hamiltonian systems

This book presents the basic methods of regular perturbation theory of Hamiltonian systems, including KAM-theory, splitting of asymptotic manifolds, the separatrix map, averaging, anti-integrable limit, etc. in a readable way. Although concise, it discusses all main aspects of the basic modern theor...

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Bibliographische Detailangaben
Hauptverfasser: Treščev, Dmitrij, Zubelevich, Oleg (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Ausgabe:1st ed. 2010.
Schriftenreihe:Springer Monographs in Mathematics
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Anmerkung: Archives Springer e-books (Licence nationale)
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Edition sous un autre format:• Introduction to the perturbation theory of Hamiltonian systems, Dmitry Treschev, Oleg Zubelevich, 2010, Berlin, Springer, 1 vol. (X-211 p.), Springer monographs in mathematics, 978-3-642-03027-7
• Introduction to the Perturbation Theory of Hamiltonian Systems, Texte imprimé, 9783642030291
• Introduction to the perturbation theory of Hamiltonian systems, Dmitry Treschev, Oleg Zubelevich, 2010, Berlin, Springer, 1 vol. (X-211 p.), Springer monographs in mathematics, 978-3-642-03027-7
• Introduction to the perturbation theory of Hamiltonian systems, Dmitry Treschev, Oleg Zubelevich, 2010, Berlin, Springer, 1 vol. (X-211 p.), Springer monographs in mathematics, 978-3-642-03027-7
Inhaltsangabe:
  • Hamiltonian Equations to the KAM Theory Splitting of Asymptotic Manifolds The Separatrix Map Width of the Stochastic Layer The Continuous Averaging Method The Anti-Integrable Limit Hill s Formula