Instabilities and Nonequilibrium Structures IV

Tirapegui, Enrique (EDT); Zeller, W. (EDT); Zeller, Walter (EDT)

ISBN 10: 0792325036 / ISBN 13: 9780792325031

Edité par Springer, 1993

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Détails bibliographiques

• Titre: Instabilities and Nonequilibrium Structures IV
• Éditeur: Springer
• Date de parution: 1993
• Langue: anglais
• ISBN à 10 chiffres: 0792325036
• ISBN à 13 chiffres: 9780792325031
• Reliure: Couverture rigide
• État de l'article: As New

A propos de ce titre

Synopsis

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.

Présentation de l'éditeur

This volume contains a selection of the lectures given at the Fourth International Workshop on Instabilities and Nonequilibrium Structures in Valparaíso, Chile, in December 1991.
The contents are divided into two parts. Part I includes papers dealing with statistical mechanics, mathematical aspects of dynamical systems and stochastic 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. The most recent developments in this fascinating and rapidly growing area are discussed.
For mathematicians, physicists and engineers interested in dynamical systems, statistical mechanics, and nonequilibrium systems.