| Instabilities and Nonequilibrium Structures IV Softcover Repri Edition Contributor(s): Tirapegui, E. (Editor), Zeller, W. (Editor) |
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ISBN: 9401048428 ISBN-13: 9789401048422 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Mathematics | Applied - Science | Physics - Mathematical & Computational - Mathematics | Counting & Numeration |
| Dewey: 515.353 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.8" H x 6.14" W x 9.21" (1.19 lbs) 374 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |