Limit this search to....

Instabilities and Nonequilibrium Structures IV 1993 Edition
Contributor(s): Tirapegui, E. (Editor), Zeller, W. (Editor)
ISBN: 0792325036     ISBN-13: 9780792325031
Publisher: Springer
OUR PRICE:   $104.49  
Product Type: Hardcover - Other Formats
Published: October 1993
Qty:
Annotation: This volume contains a selection of the lectures given at the Fourth International Workshop on Instabilities and Nonequilibrium Structures in Valparamso, 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.
Additional Information
BISAC Categories:
- Science | Physics - Mathematical & Computational
- Mathematics | Applied
- Mathematics | Counting & Numeration
Dewey: 515.353
LCCN: 94136311
Series: Mathematics and Its Applications
Physical Information: 1.04" H x 6.44" W x 9.56" (1.62 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.