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100   $a20121227d2002      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aDynamical Systems and Small Divisors $eLectures given at the C.I.M.E. Summer School held in Cetraro Italy, June 13-20, 1998 /$fby Hakan Eliasson, Sergei Kuksin, Stefano Marmi, Jean-Christophe Yoccoz ; edited by Stefano Marmi, Jean-Christophe Yoccoz
205   $a1st ed. 2002.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2002.
215   $a1 online resource (X, 202 p.) 
225 1 $aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v1784
300   $aBibliographic Level Mode of Issuance: Monograph
311 08$a3-540-43726-6 
320   $aIncludes bibliographical references.
327   $aPerturbations of linear quasi-periodic system -- KAM-persistence of finite-gap solutions -- Analytic linearization of circle diffeomorphisms -- Some open problems related to small divisors.
330   $aMany problems of stability in the theory of dynamical systems face the difficulty of small divisors. The most famous example is probably given by Kolmogorov-Arnold-Moser theory in the context of Hamiltonian systems, with many applications to physics and astronomy. Other natural small divisor problems arise considering circle diffeomorphisms or quasiperiodic Schroedinger operators. In this volume Hakan Eliasson, Sergei Kuksin and Jean-Christophe Yoccoz illustrate the most recent developments of this theory both in finite and infinite dimension. A list of open problems (including some problems contributed by John Mather and Michel Herman) has been included.
410  0$aC.I.M.E. Foundation Subseries,$x2946-1820 ;$v1784
606   $aDynamics
606   $aOperator theory
606   $aDifferential equations
606   $aDynamical Systems
606   $aOperator Theory
606   $aDifferential Equations
615  0$aDynamics.
615  0$aOperator theory.
615  0$aDifferential equations.
615 14$aDynamical Systems.
615 24$aOperator Theory.
615 24$aDifferential Equations.
676   $a510 s
676   $a514/.74
700   $aEliasson$b Ha?kan$4aut$4http://id.loc.gov/vocabulary/relators/aut$00
702   $aKuksin$b Sergei$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMarmi$b Stefano$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aYoccoz$b Jean-Christophe$4aut$4http://id.loc.gov/vocabulary/relators/aut
702   $aMarmi$b Stefano$4edt$4http://id.loc.gov/vocabulary/relators/edt
702   $aYoccoz$b Jean-Christophe$4edt$4http://id.loc.gov/vocabulary/relators/edt
712 12$aC.I.M.E. Session "Dynamical Systems and Small Divisors
906   $aBOOK
912   $a9910144942403321
996   $aDynamical systems and small divisors$9262406
997   $aUNINA