Dynamical Systems and Small Divisors : Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998

Hakan Eliasson

ISBN 10: 3540437266 / ISBN 13: 9783540437260

Editore: Springer, Berlin, Springer Berlin Heidelberg, Springer, 2002

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Neuware - 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 problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.

Codice articolo 9783540437260

Dati bibliografici

• Titolo: Dynamical Systems and Small Divisors : Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998
• Editore: Springer, Berlin, Springer Berlin Heidelberg, Springer
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 3540437266
• ISBN 13: 9783540437260
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 239 L x 154 A x 13 P (millimetri) 239 millimetri di larghezza per 154 millimetri di altezza per 13 millimetri di profondità
• Peso: 380 grammi

Descrizione articolo

Riassunto

Authors illustrate the most recent developments of the dynamical systems theory both in finite and infinite dimensions. Softcover.

Contenuti

Perturbations of linear quasi-periodic system.- KAM-persistence of finite-gap solutions.- Analytic linearization of circle diffeomorphisms.- Some open problems related to small divisors.