Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, June 13-20, 1998
著者
書誌事項
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 . Fondazione C.I.M.E.）
Springer, c2002
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注記
Other authors: S.B. Kuksin, S. Marmi, J.-C. Yoccoz
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
Perturbations of linear quasi-periodic system.- KAM-persistence of finite-gap solutions.- Analytic linearization of circle diffeomorphisms.- Some open problems related to small divisors.
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