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Instabilities and Nonequilibrium Structures IV

  • Book
  • © 1993

Overview

Editors:
  1. E. Tirapegui

    1. Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

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    You can also search for this editor in PubMed   Google Scholar

  2. W. Zeller

    1. Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

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

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Table of contents (36 chapters)

  1. Front Matter

    Pages i-1
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  2. Statistical Mechanics And Related Topics

    1. Front Matter

      Pages 3-3
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    2. Nonequilibrium Potentials For Period Doubling

      • R. Graham, A. Hamm
      Pages 5-13

    3. On Soliton Instabilities In 1+1 Dimensional Integrable Systems

      • F. Lambert, J. Springael, R. Willox
      Pages 15-25

    4. A Catastrophic View Of Quasi And Pseudospin Physics

      • E. S. Hernández
      Pages 27-36

    5. An Approach To Quantum Dissipation

      • G. Crespo, A. M. Kowalski, A. Plastino, A. N. Proto
      Pages 37-45

    6. Arnold Tongues In A Periodically Perturbed Logistic Oscillator

      • Jaime Rössler, Edmundo Lazo, Miguel Kiwi
      Pages 47-52

    7. Axisymmetric Coherent Vortex States In AC Driven Josephson Junctions Arrays

      • Daniel Domínguez, Jorge V. José
      Pages 53-67

    8. Comments on the topological organization of 3d-flows and 2d-maps

      • H. G. Solari, M. A. Natiello, B. G. Mindlin, R. Gilmore
      Pages 69-76

    9. Phase Bistability and Squeezing in a Two-photon Micromaser

      • M. Orszag, L. Roa, R. Ramírez
      Pages 77-88

    10. Phase Space Fluctuations In Neutral Fermi Liquids

      • B. Benhassine, M. Farine, E. S. Hernández, D. Idier, B. Remaud, F. Sébille
      Pages 89-100

    11. Polar Decomposition And Dense Similarity To Unitary Operators

      • N. Bertoglio, S. Martínez, J. San Martín
      Pages 101-107

    12. Site-Exchange Cellular Automata

      • N. Boccara, M. Roger
      Pages 109-118

    13. Steady State Segregation In Diffusion-Limited Bimolecular Reactions: Effect Of Strong Space Disorder And A Galanin Approach

      • Horacio S. Wio
      Pages 119-132

    14. Schrödinger’s Cat and Squeezing

      • M. Orszag, R. Ramirez, J. C. Retamal, L. Roa
      Pages 133-139

    15. Sequential Iteration For Extremal Automata

      • Eric Goles, Gonzalo Hernández
      Pages 141-148

    16. A stochastic approach towards the study of the one-dimensional Landau Ginzburg distribution

      • C. Van den Broeck, M. Malek Mansour
      Pages 149-159

    17. Effective Potential For Stochastic Processes

      • H. Calisto, E. Cerda, E. Tirapegui
      Pages 161-173

  3. Instabilities In Nonequilibrium Systems

    1. Front Matter

      Pages 175-175
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    2. Some Asymptotic Time Behavior For The Real Ginzburg Landau Equation

      • P. Collet
      Pages 177-180
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Keywords

About this book

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.

Editors and Affiliations

  • Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Santiago, Chile

    E. Tirapegui

  • Instituto de Física, Universidad Católica de Valparaíso, Valparaíso, Chile

    W. Zeller

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