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Instabilities and Nonequilibrium Structures IV

  • E. Tirapegui
  • W. Zeller

Part of the Mathematics and Its Applications book series (MAIA, volume 267)

Table of contents

  1. Front Matter
    Pages i-1
  2. Statistical Mechanics And Related Topics

    1. Front Matter
      Pages 3-3
    2. R. Graham, A. Hamm
      Pages 5-13
    3. F. Lambert, J. Springael, R. Willox
      Pages 15-25
    4. G. Crespo, A. M. Kowalski, A. Plastino, A. N. Proto
      Pages 37-45
    5. Jaime Rössler, Edmundo Lazo, Miguel Kiwi
      Pages 47-52
    6. H. G. Solari, M. A. Natiello, B. G. Mindlin, R. Gilmore
      Pages 69-76
    7. M. Orszag, L. Roa, R. Ramírez
      Pages 77-88
    8. B. Benhassine, M. Farine, E. S. Hernández, D. Idier, B. Remaud, F. Sébille
      Pages 89-100
    9. N. Bertoglio, S. Martínez, J. San Martín
      Pages 101-107
    10. N. Boccara, M. Roger
      Pages 109-118
    11. M. Orszag, R. Ramirez, J. C. Retamal, L. Roa
      Pages 133-139
    12. Eric Goles, Gonzalo Hernández
      Pages 141-148
    13. H. Calisto, E. Cerda, E. Tirapegui
      Pages 161-173
  3. Instabilities In Nonequilibrium Systems

    1. Front Matter
      Pages 175-175
    2. E. Guyon, J. P. Bouchaud
      Pages 181-192
    3. C. Perez-Garcia, J. Millán-Rodriguez, H. Herrero, M. Bestehorn
      Pages 225-234
    4. A. De Wit, P. Borckmans, G. Dewel
      Pages 247-258
    5. Igor S. Aranson, Lorenz Kramer, Andreas Weber
      Pages 259-272
    6. A. Garcimartín, H. L. Mancini, C. Pérez-García
      Pages 273-279
    7. C. M. Alfaro, R. D. Benguria, M. C. Depassier
      Pages 281-287
    8. Innocent Mutabazi, José Eduardo Wesfreid
      Pages 301-316
    9. J. Martínez-Mardones, R. Tiemann, W. Zeller, C. Pérez-García
      Pages 317-324
    10. Alejandro F. Ramirez, Andreas Reisenegger, Fernando Lund
      Pages 325-331
    11. M. Abid, M. E. Brachet
      Pages 333-338
    12. F. Belin, P. Coullet, T. Frisch, J. C. Robinet
      Pages 339-342
    13. M. Piva, A. Calvo, A. Barrantes, S. Gabanelli, M. Rosen, I. Ippolito et al.
      Pages 343-349
  4. Back Matter
    Pages 365-371

About this book

Introduction

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.

Keywords

Experiment Potential STATISTICA differential equation extrema linear optimization partial differential equation

Editors and affiliations

  • E. Tirapegui
    • 1
  • W. Zeller
    • 2
  1. 1.Facultad de Ciencias Físicas y MatemáticasUniversidad de ChileSantiagoChile
  2. 2.Instituto de FísicaUniversidad Católica de ValparaísoValparaísoChile

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