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Instabilities and Nonequilibrium Structures IV (Paperback, Softcover reprint of the original 1st ed. 1993)
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Instabilities and Nonequilibrium Structures IV (Paperback, Softcover reprint of the original 1st ed. 1993)
Series: Mathematics and Its Applications, 267
Expected to ship within 10 - 15 working days
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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.
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