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Instabilities and Nonequilibrium Structures IV - Mathematics and Its Applications 267 (Paperback)
  • Instabilities and Nonequilibrium Structures IV - Mathematics and Its Applications 267 (Paperback)
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Instabilities and Nonequilibrium Structures IV - Mathematics and Its Applications 267 (Paperback)

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£88.00
Paperback 374 Pages / Published: 13/10/2012
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We have classified the articles presented here in two Sections according to their general content. In Part I we have included papers which deal with statistical mechanics, math- ematical aspects of dynamical systems and sthochastic effects in nonequilibrium systems. Part II is devoted mainly to instabilities and self-organization in extended nonequilibrium systems. The study of partial differential equations by numerical and analytic methods plays a great role here and many works are related to this subject. Most recent developments in this fascinating and rapidly growing area are discussed. PART I STATISTICAL MECHANICS AND RELATED TOPICS NONEQUILIBRIUM POTENTIALS FOR PERIOD DOUBLING R. Graham and A. Hamm Fachbereich Physik, Universitiit Gesamthochschule Essen D4300 Essen 1 Germany ABSTRACT. In this lecture we consider the influence of weak stochastic perturbations on period doubling using nonequilibrium potentials, a concept which is explained in section 1 and formulated for the case of maps in section 2. In section 3 nonequilibrium potentials are considered for the family of quadratic maps (a) at the Feigenbaum 'attractor' with Gaussian noise, (b) for more general non- Gaussian noise, and ©for the case of a strange repeller. Our discussion will be informal. A more detailed account of this and related material can be found in our papers [1-3] and in the reviews [4, 5], where further references to related work are also given. 1.

Publisher: Springer
ISBN: 9789401048422
Number of pages: 374
Weight: 617 g
Dimensions: 240 x 160 x 20 mm
Edition: Softcover reprint of the original 1st ed. 199

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