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- catalog abstract "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.".
- catalog contributor b12564024.
- catalog contributor b12564025.
- catalog contributor b12564026.
- catalog contributor b12564027.
- catalog created "c2002.".
- catalog date "2002".
- catalog date "c2002.".
- catalog dateCopyrighted "c2002.".
- catalog description "Hakan Eliasson: Perturbations of Linear Quasi-Periodic System -- Sergei B. Kuksin: KAM-Persistence of Finite-Gap Solutions -- Jean-Christophe Yoccoz: Analytic Linearization of Circle Diffeomorphisms -- Stefano Marmi and Jean-Christophe Yoccoz: Some Open Problems Related to Small Divisors.".
- catalog description "Includes bibliographical references.".
- catalog description "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.".
- catalog extent "viii, 198 p. ;".
- catalog hasFormat "Also available in an electronic version.".
- catalog identifier "3540437266 (pbk. : alk. paper)".
- catalog isFormatOf "Also available in an electronic version.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1784.".
- catalog isPartOf "Lecture notes in mathematics, 0075-8434 ; 1784".
- catalog issued "2002".
- catalog issued "c2002.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Also available in an electronic version.".
- catalog subject "510 s 514/.74 21".
- catalog subject "Differentiable dynamical systems.".
- catalog subject "Differential Equations.".
- catalog subject "Hamiltonian systems.".
- catalog subject "Mathematics.".
- catalog subject "Operator theory.".
- catalog subject "QA3 .L28 no. 1784 QA614.83".
- catalog subject "Small divisors.".
- catalog subject "Stability.".
- catalog tableOfContents "Hakan Eliasson: Perturbations of Linear Quasi-Periodic System -- Sergei B. Kuksin: KAM-Persistence of Finite-Gap Solutions -- Jean-Christophe Yoccoz: Analytic Linearization of Circle Diffeomorphisms -- Stefano Marmi and Jean-Christophe Yoccoz: Some Open Problems Related to Small Divisors.".
- catalog title "Dynamical systems and small divisors : lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998 / L.H. Eliasson ... [et al.] ; editors, S. Marmi, J.-C. Yoccoz.".
- catalog type "Computer network resources. local".
- catalog type "Electronic books. lcsh".
- catalog type "text".