New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena

The Geometry of Nonequilibrium

  • Pierre Coullet
  • Patrick Huerre

Part of the NATO ASI Series book series (NSSB, volume 237)

Table of contents

  1. Front Matter
    Pages i-x
  2. Pattern Formation

    1. Chemical Waves

    2. Materials Instabilities

    3. Rayleigh-Benard Convection

      1. F. H. Busse, R. M. Clever
        Pages 37-45
      2. S. Ciliberto, E. Pampaloni, C. Pérez-Garcia
        Pages 51-54
    4. Traveling Waves

      1. David Bensimon, Alain Pumir
        Pages 55-60
      2. Hermann Riecke, John David Crawford, Edgar Knobloch
        Pages 61-64
      3. Manuel de la Torre Juarez, Ingo Rehberg
        Pages 65-67
      4. Laurette S. Tuckerman, Dwight Barkley
        Pages 73-75
    5. Other Areas of Interest

      1. A. A. Chernikov, R. Z. Sagdeev, G. M. Zaslavsky
        Pages 89-93
      2. René J. Moreau, Sylvain L. Pigny, Sherwin A. Maslowe
        Pages 95-102
      3. Manfred Lücke, Dieter Roth, Hendrik Kuhlmann
        Pages 103-106
  3. Defects and Spatio-Temporal Complexity

    1. E. Bodenschatz, M. Kaiser, L. Kramer, W. Pesch, A. Weber, W. Zimmermann
      Pages 111-124
    2. F. K. Browand, S. Prost-Domasky
      Pages 159-169
    3. R. Yang, P. Huerre, P. Coullet
      Pages 171-180
    4. Tomas Bohr, Anders W. Pedersen, Mogens H. Jensen, David A. Rand
      Pages 185-192
  4. Spatio-Temporal Intermittency

  5. Spatially-Developing Non-Equilibrium Systems

    1. Pierre Comte, Marcel Lesieur, Yves Fouillet
      Pages 251-258
    2. J. M. Chomaz, P. Huerre, L. G. Redekopp
      Pages 259-274
  6. Mathematics of Non Equilibrium

  7. Turbulence

    1. A. V. Tur, S. S. Moiseev, P. B. Rutkevich, V. V. Yanovsky
      Pages 305-312
    2. Alain Pumir, Eric D. Siggia
      Pages 321-325
  8. Growth Phenomena

    1. V. Hakim, M. Rabaud, H. Thomé, Y. Couder
      Pages 327-337
    2. J. Maurer, P. Bouissou, B. Perrin, P. Tabeling
      Pages 339-341
    3. Bernard Billia, Haïk Jamgotchian, Rohit Trivedi
      Pages 343-345
    4. S. de Cheveigné, C. Guthmann, P. Kurowski
      Pages 347-349
  9. Back Matter
    Pages 351-357

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.


Chaos Simulation calculus geometry linearity model modeling partial differential equation

Editors and affiliations

  • Pierre Coullet
    • 1
  • Patrick Huerre
    • 2
  1. 1.Université de NiceNiceFrance
  2. 2.Ecole PolytechniquePalaiseauFrance

Bibliographic information

  • DOI
  • Copyright Information Plenum Press, New York 1990
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-7481-7
  • Online ISBN 978-1-4684-7479-4
  • Series Print ISSN 0258-1221
  • Buy this book on publisher's site
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