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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
- 作者： C.I.M.E. Session "Dynamical Systems and Small Divisors (1998 : Cetraro, Italy)
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- Springer e-books
- Lectures given at the C.I.M.E. Summer School, held in Cetraro, Italy, June 13-20, 1998
- 出版： Berlin ;New York : Springer c2002
- 叢書名： Lecture notes in mathematics ,1784
- 主題： Hamiltonian systems. , Small divisors. , Stability.
- ISBN： 9783540437260 (paper)
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- 系統號： 005168481 | 機讀編目格式
館藏資訊
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.
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