Titlebook: Geometry and Topology in Hamiltonian Dynamics and Statistical Mechanics; Marco Pettini Book 2007 Springer-Verlag New York 2007 Dynamics.Ge

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衰老

https://doi.org/10.1007/978-0-387-49957-4Dynamics; Geometry; Hamiltonian; Pettini; dynamical systems; topology

鄙视

Steuerungs- und Prozessrechentechnik,hase transitions. The mathematical concepts and methods used are borrowed from Riemannian geometry and from elementary differential topology, respectively. The new approach proposed also unveils deep connections between the two mentioned topics.

破裂

https://doi.org/10.1007/978-3-8351-9045-0between them..The general problem of statistical physics is the following. Given a collection–in general a large collection–of atoms or molecules, given the interaction laws among the constituents of this collection of particles, and given the dynamical evolution laws, how can we predict the macrosc

Little

孤独无助

Modellbildung technischer Systeme, methods and results. For example, as we have discussed in Chapter 2, the weaker requirement of only approximate integrability over finite times, or the existence of integrable regions in the phase space of a globally nonintegrable system, has led to the development of classical perturbation theory,

乱砍

Modellbildung technischer Systeme, main tool, to reach a twofold objective: first, to obtain a deeper understanding of the origin of chaos in Hamiltonian systems, and second, to obtain quantitative information on the “strength” of chaos in these systems.

elastic

Modellbildung technischer Systeme,eometric theory of chaotic Hamiltonian dynamics. Such a theory is able to describe the instability of the dynamics in classical systems consisting of a large number . of mutually interacting particles, by relating these properties to the average and the fluctuations of the curvature of the configura

小溪

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