{"product_id":"instabilities-and-nonequilibrium-structures-iv-9789401048422","title":"Instabilities and Nonequilibrium Structures IV","description":"\u003cp\u003e • Author(s): E. Tirapegui\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Applied\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eWe 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45283645390999,"sku":"9789401048422","price":7345.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789401048422.webp?v=1769305490","url":"https:\/\/atlanticbooks.com\/products\/instabilities-and-nonequilibrium-structures-iv-9789401048422","provider":"Atlantic Books","version":"1.0","type":"link"}