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Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998 /

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Many problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problem...

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Bibliographic Details
Corporate Authors: C.I.M.E. Session "Dynamical Systems and Small Divisors Cetraro, Italy, SpringerLink (Online service)
Other Authors: Eliasson, L. H. (L. Hakan), 1952-, Marmi, S. (Stefano), 1963-, Yoccoz, Jean-Christophe
Format: Conference Proceeding eBook
Language:English
Published: Berlin ; New York : Springer, [2002]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1784.
Subjects:
Hamiltonian systems.
Small divisors.
Stability.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Perturbations of linear quasi-periodic system / L. Hakan Eliasson
  • KAM-persistence of finite-gap solutions / Sergei B. Kuksin
  • Analytic linearization of circle diffeomorphisms / Jean-Christophe Yoccoz
  • Some open problems related to small divisors / Stefano Marmi and Jean-Christophe Yoccoz.