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New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

The Geometry of Nonequilibrium

  • Book
  • © 1990

Overview

Editors:
  1. Pierre Coullet

    1. Université de Nice, Nice, France

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    You can also search for this editor in PubMed   Google Scholar

  2. Patrick Huerre

    1. Ecole Polytechnique, Palaiseau, France

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series B: (NSSB, volume 237)

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Table of contents (48 chapters)

  1. Front Matter

    Pages i-x
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  2. Pattern Formation

    2. Materials Instabilities

      1. Pattern Selection and Symmetry Competition in Materials Instabilities
        • Daniel Walgraef
        Pages 25-32
      2. Numerical Simulation of Persistent Slip Band Formation
        • C. Schiller, D. Walgraef
        Pages 33-36

    3. Rayleigh-Benard Convection

      1. Transitions to More Complex Patterns in Thermal Convection
        • F. H. Busse, R. M. Clever
        Pages 37-45
      2. Rayleigh-Benard Convection at Finite Rayleigh Number in Large Aspect Ratio Boxes
        • T. Passot, M. Souli, A. C. Newell
        Pages 47-50
      3. Transition between Different Symmetries in Rayleigh-Benard Convection
        • S. Ciliberto, E. Pampaloni, C. Pérez-Garcia
        Pages 51-54

    4. Traveling Waves

      1. Non Linear Analysis of Traveling Waves in Binary Convection
        • David Bensimon, Alain Pumir
        Pages 55-60
      2. Temporal Modulation of a Subcritical Bifurcation to Travelling Waves
        • Hermann Riecke, John David Crawford, Edgar Knobloch
        Pages 61-64
      3. Experiments with Travelling Waves in Electrohydrodynamic Convection
        • Manuel de la Torre Juarez, Ingo Rehberg
        Pages 65-67
      4. The Degenerate Amplitude Equation Near the Codimension-2 Point in Binary Fluid Convection
        • Walter Zimmermann, Wolfgang Schöpf
        Pages 69-72
      5. Travelling Waves in Axisymmetric Convection
        • Laurette S. Tuckerman, Dwight Barkley
        Pages 73-75
      6. About Confined States, Noise-Sustained Structures and Slugs
        • Helmut R. Brand
        Pages 77-83
      7. Localized Structures Generated by Subcritical Instabilities: Counterprogating Waves
        • O. Thual, S. Fauve
        Pages 85-87

    5. Other Areas of Interest

      1. From the Chaos to Quasiregular Patterns
        • A. A. Chernikov, R. Z. Sagdeev, G. M. Zaslavsky
        Pages 89-93
      2. Interfacial Instabilities and Waves in the Presence of a Transverse Electric Current
        • René J. Moreau, Sylvain L. Pigny, Sherwin A. Maslowe
        Pages 95-102
      3. Modulated Taylor Vortex Flow
        • Manfred Lücke, Dieter Roth, Hendrik Kuhlmann
        Pages 103-106
      4. Recent Results on the Non-Linear Dynamics of Curved Premixed Flames
        • Guy Joulin
        Pages 107-109
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Keywords

About this book

The basic aim of the NATO Advanced Research Workshop on "New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena: The Geometry of Nonequilibrium" was to bring together researchers from various areas of physics to review and explore new ideas regarding the organisation of systems driven far from equilibrium. Such systems are characterized by a close relationship between broken spatial and tempo­ ral symmetries. The main topics of interest included pattern formation in chemical systems, materials and convection, traveling waves in binary fluids and liquid crystals, defects and their role in the disorganisa­ tion of structures, spatio-temporal intermittency, instabilities and large-scale vortices in open flows, the mathematics of non-equilibrium systems, turbulence, and last but not least growth phenomena. Written contributions from participants have been grouped into chapters addressing these different areas. For additional clarity, the first chapter on pattern formation has been subdivided into sections. One of the main concerns was to focus on the unifying features between these diverse topics. The various scientific communities repre­ sented were encouraged to discuss and compare their approach so as to mutually benefit their respective fields. We hope that, to a large degree, these goals have been met and we thank all the participants for their efforts. The workshop was held in Cargese (Corsica, France) at the Institut d'Etudes Scientifiques from August 2nd to August 12th, 1988. We greatly thank Yves Pomeau and Daniel Walgraef who, as members of the organising committee, gave us valuable advice and encouragements.

Editors and Affiliations

  • Université de Nice, Nice, France

    Pierre Coullet

  • Ecole Polytechnique, Palaiseau, France

    Patrick Huerre

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