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The Physics of Structure Formation

Theory and Simulation

  • Conference proceedings
  • © 1987

Overview

Editors:
  1. Werner Güttinger

    1. Institut für Informationsverarbeitung, Universität Tübingen, Tübingen, Fed. Rep. of Germany

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  2. Gerhard Dangelmayr

    1. Institut für Informationsverarbeitung, Universität Tübingen, Tübingen, Fed. Rep. of Germany

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Part of the book series: Springer Series in Synergetics (SSSYN, volume 37)

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Table of contents (33 papers)

  1. Front Matter

    Pages I-XIII
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  2. Disordered Systems, Networks and Patterns

    1. Front Matter

      Pages 1-1
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    2. Neural Networks — Achievements, Prospects, Difficulties

      • D. J. Amit
      Pages 2-21

    3. Pattern Recognition in Nonlinear Neural Networks

      • J. L. van Hemmen
      Pages 22-41

    4. Formation of Ordered Structures in Quenching Experiments: Scaling Theory and Simulations

      • D. W. Heermann, K. Binder
      Pages 42-51

    5. Patterns in Random Boolean Nets

      • G. Weisbuch
      Pages 52-67

    6. The Structure of the Visual Field

      • J. J. Koenderink
      Pages 68-77

    7. Patterns of Maximal Entropy

      • R. D. Levine
      Pages 78-86

  3. Structure Formation in Nonlinear Systems

    1. Front Matter

      Pages 87-87
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    2. Patterns of Bifurcation from Spherically Symmetric States

      • F. H. Busse
      Pages 88-96

    3. Structure Formation by Propagating Fronts

      • M. Lücke, M. Mihelcic, B. Kowalski, K. Wingerath
      Pages 97-116

    4. Oscillatory Doubly Diffusive Convection: Theory and Experiment

      • E. Knobloch, A. E. Deane, J. Toomre
      Pages 117-129

    5. Pattern Selection in Anisotropic Systems

      • L. Kramer, E. Bodenschatz, W. Pesch, W. Zimmermann
      Pages 130-141

    6. Rayleigh Number Ramps Cause Moving Convection Patterns

      • I. Rehberg, H. Riecke
      Pages 142-152

    7. Interactions of Stationary Modes in Systems with Two and Three Spatial Degrees of Freedom

      • M. Neveling, D. Lang, P. Haug, W. Güttinger, G. Dangelmayr
      Pages 153-165

    8. The Basic (n,2n)-Fold of Steady Axisymmetric Taylor Vortex Flows

      • R. Meyer-Spasche, M. Wagner
      Pages 166-178

  4. Interfacial Patterns

    1. Front Matter

      Pages 179-179
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    2. Nonlinear Interactions of Interface Structures of Differing Wavelength in Directional Solidification

      • M. J. Bennett, R. A. Brown, L. H. Ungar
      Pages 180-190

    3. Velocity Selection in Dendritic Growth

      • B. Caroli, C. Caroli, B. Roulet
      Pages 191-197

    4. Interfacial Pattern Formation: Dynamical Effects

      • D. A. Kessler, H. Levine
      Pages 198-208
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Keywords

About this book

The formation and evolution of complex dynamical structures is one of the most exciting areas of nonlinear physics. Such pattern formation problems are common in practically all systems involving a large number of interacting components. Here, the basic problem is to understand how competing physical forces can shape stable geometries and to explain why nature prefers just these. Motivation for the intensive study of pattern formation phenomena during the past few years derives from an increasing appreciation of the remarkable diversity of behaviour encountered in nonlinear systems and of universal features shared by entire classes of nonlinear processes. As physics copes with ever more ambi­ tious problems in pattern formation, summarizing our present state of knowledge becomes a pressing issue. This volume presents an overview of selected topics in this field of current interest. It deals with theoretical models of pattern formation and with simulations that bridge the gap between theory and experiment. The book is a product of the International Symposium on the Physics of Structure Formation, held from October 27 through November 2, 1986, at the Institute for Information Sciences of the University of Tiibingen. The symposium brought together a group of distinguished scientists from various disciplines to exchange ideas about recent advances in pattern formation in the physical sciences, and also to introduce young scientists to the fi

Editors and Affiliations

  • Institut für Informationsverarbeitung, Universität Tübingen, Tübingen, Fed. Rep. of Germany

    Werner Güttinger, Gerhard Dangelmayr

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