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Titlebook: Regular and Chaotic Motions in Dynamic Systems; G. Velo,A. S. Wightman Book 1985 Springer Science+Business Media New York 1985 Plasma.Reno

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书目名称Regular and Chaotic Motions in Dynamic Systems
编辑G. Velo,A. S. Wightman
视频video
丛书名称NATO Science Series B:
图书封面Titlebook: Regular and Chaotic Motions in Dynamic Systems;  G. Velo,A. S. Wightman Book 1985 Springer Science+Business Media New York 1985 Plasma.Reno
描述The fifth International School ~ Mathematical Physics was held at the Ettore Majorana Centro della Culture Scientifica, Erice, Sicily, 2 to 14 July 1983. The present volume collects lecture notes on the session which was devoted to‘Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Research and the Regional Sicilian Government. Many of the fundamental problems of this subject go back to Poincare and have been recognized in recent years as being of basic importance in a variety of physical contexts: stability of orbits in accelerators, and in plasma and galactic dynamics, occurrence of chaotic motions in the excitations of solids, etc. This period of intense interest on the part of physicists followed nearly a half a century of neglect in which research in the subject was almost entirely carried out by mathematicians. It is an in­ dication of the difficulty of some of the problems involved that even after a century we do not have anything like a satisfactory solution.
出版日期Book 1985
关键词Plasma; Renormalization group; classical mechanics; dynamical system; dynamical systems; dynamics; invaria
版次1
doihttps://doi.org/10.1007/978-1-4684-1221-5
isbn_softcover978-1-4684-1223-9
isbn_ebook978-1-4684-1221-5Series ISSN 0258-1221
issn_series 0258-1221
copyrightSpringer Science+Business Media New York 1985
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NATO Science Series B:http://image.papertrans.cn/r/image/825547.jpg
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Classical Mechanics and Renormalization Group,The theory of Kolmogorov-Arnold-Moser (KAM) is discussed in detail from the point of view of the “renormalization group approach”. Similarly we discuss some aspects of the problem of the existence of universal structures in the chaotic transition. The quasi-periodic Schroedinger equation in one dimension is discussed as a special case.
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Applications of Scaling Ideas to Dynamics,ndent that local measurements, say of one component of the velocity, would show a very chaotic appearance like that in Fig. 2e. However, there is also an underlying regularity in which the notion can be analyzed (see Fig. 1 again) as a series of large swirls containing smaller swirls, and so forth.
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Measures Invariant under Mappings of the Unit Interval,y of the ergodic theorems it became obvious that an important notion is that of invariant measure. For a given dynamical system, there are in general many invariant measures, and one is led to the problem of choosing the relevant one (if any).
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0258-1221 14 July 1983. The present volume collects lecture notes on the session which was devoted to‘Regular and Chaotic Motions in Dynamlcal Systems. The School was a NATO Advanced Study Institute sponsored by the Italian Ministry of Public Education, the Italian Ministry of Scientific and Technological Res
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