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Instabilities and Nonequilibrium Structures IV : Mathematics and Its Applications - E. Tirapegui

Instabilities and Nonequilibrium Structures IV

Mathematics and Its Applications

By: E. Tirapegui (Editor), W. Zeller (Editor)

Hardcover Published: 31st October 1993
ISBN: 9780792325031
Number Of Pages: 374

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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 (c) 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.

Foreword
Preface
Statistical Mechanics and Related Topics
Instabilities in Nonequilibrium Systems
Subject Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780792325031
ISBN-10: 0792325036
Series: Mathematics and Its Applications
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 374
Published: 31st October 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.5 x 15.5  x 3.18
Weight (kg): 1.59