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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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.

啪心兒跳動(dòng)

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