Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 (Lecture Notes in Mathematics, 1784)

Eliasson, Hakan; Kuksin, Sergei; Marmi, Stefano; Yoccoz, Jean-Christophe; Marmi, Stefano [Editor]; Yoccoz, Jean-Christophe [Editor];

ISBN 10: 3540437266 / ISBN 13: 9783540437260

Verlag: Springer, 2002

Beschreibung

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Bestandsnummer des Verkäufers Q-3540437266

Bibliografische Details

• Titel: Dynamical Systems and Small Divisors: Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 (Lecture Notes in Mathematics, 1784)
• Verlag: Springer
• Erscheinungsjahr: 2002
• Sprache: Englisch
• ISBN-10: 3540437266
• ISBN-13: 9783540437260
• Einband: paperback
• Zustand: New

Über diesen Titel

Inhaltsangabe

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

Reseña del editor

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.