03481nam 22007095 450 991014494240332120250723163955.03-540-47928-710.1007/b83847(CKB)1000000000233261(SSID)ssj0000322756(PQKBManifestationID)12133586(PQKBTitleCode)TC0000322756(PQKBWorkID)10288518(PQKB)10866563(DE-He213)978-3-540-47928-4(MiAaPQ)EBC3089033(PPN)15521862X(BIP)7829410(EXLCZ)99100000000023326120121227d2002 u| 0engurnn|008mamaatxtccrDynamical Systems and Small Divisors Lectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 /by Hakan Eliasson, Sergei Kuksin, Stefano Marmi, Jean-Christophe Yoccoz ; edited by Stefano Marmi, Jean-Christophe Yoccoz1st ed. 2002.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2002.1 online resource (X, 202 p.) C.I.M.E. Foundation Subseries,2946-1820 ;1784Bibliographic Level Mode of Issuance: Monograph3-540-43726-6 Includes bibliographical references.Perturbations of linear quasi-periodic system -- KAM-persistence of finite-gap solutions -- Analytic linearization of circle diffeomorphisms -- Some open problems related to small divisors.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.C.I.M.E. Foundation Subseries,2946-1820 ;1784DynamicsOperator theoryDifferential equationsDynamical SystemsOperator TheoryDifferential EquationsDynamics.Operator theory.Differential equations.Dynamical Systems.Operator Theory.Differential Equations.510 s514/.74Eliasson Håkanauthttp://id.loc.gov/vocabulary/relators/aut0Kuksin Sergeiauthttp://id.loc.gov/vocabulary/relators/autMarmi Stefanoauthttp://id.loc.gov/vocabulary/relators/autYoccoz Jean-Christopheauthttp://id.loc.gov/vocabulary/relators/autMarmi Stefanoedthttp://id.loc.gov/vocabulary/relators/edtYoccoz Jean-Christopheedthttp://id.loc.gov/vocabulary/relators/edtC.I.M.E. Session "Dynamical Systems and Small DivisorsBOOK9910144942403321Dynamical systems and small divisors262406UNINA