书目名称 | Instabilities and Nonequilibrium Structures IV | 编辑 | E. Tirapegui,W. Zeller | 视频video | | 丛书名称 | Mathematics and Its Applications | 图书封面 |  | 描述 | 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 n | 出版日期 | Book 1993 | 关键词 | Experiment; Potential; STATISTICA; differential equation; extrema; linear optimization; partial differenti | 版次 | 1 | doi | https://doi.org/10.1007/978-94-011-1906-1 | isbn_softcover | 978-94-010-4842-2 | isbn_ebook | 978-94-011-1906-1 | copyright | Springer Science+Business Media Dordrecht 1993 |
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