Evolution of Spontaneous Structures in Dissipative Continuous Systems

1. Front Matter

   Pages I-X

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2. Mathematical Tools for Pattern Formation

   • Gerhard Dangelmayr, Lorenz Kramer

   Pages 1-85

3. Formation of Dynamical Structures in Axisymmetric Fluid Systems

   • F. H. Busse, G. Pfister, D. Schwabe

   Pages 86-126

4. Pattern Formation in Binary Fluid Convection and in Systems with Throughflow

   • M. Lücke, W. Barten, P. Büchel, C. Fütterer, St. Hollinger, Ch. Jung

   Pages 127-196

5. Dynamical Structures in Open Fluid Systems

   • Dietmar Rempfer

   Pages 197-229

6. Theoretical and Experimental Investigations of the Faraday Instability

   • H. W. Müller, R. Friedrich, D. Papathanassiou

   Pages 230-265

7. Pattern Formation in an Inhomogeneous Environment

   • Walter Zimmermann, Ben Painter, Robert Behringer

   Pages 266-293

8. Electrically Driven Instabilities in Smectic Liquid Crystal Films

   • Harald Pleiner, Ralf Stannarius, Walter Zimmermann

   Pages 295-334

9. Electrohydrodynamic Convection in Nematics

   • W. Pesch, U. Behn

   Pages 335-383

10. Dynamics of Patterns of Chemical Reactions on Surfaces

    • R. Imbihl, H. Engel, M. Eiswirth

    Pages 384-410

11. Convection and Pattern Formation Induced by Autocatalytic Chemical Reactions

    • H. R. Brand, S. C. Müller

    Pages 411-445

12. Formation of Spatio-Temporal Structures in Semiconductors

    • E. Schöll, F. J. Niedernostheide, J. Parisi, W. Prettl, H. G. Purwins

    Pages 446-494

13. Formation of Patterns in Granular Materials

    • André Betat, Christian M. Dury, Ingo Rehberg, Gerald H. Ristow, Michael A. Scherer, Matthias Schröter et al.

    Pages 495-545

14. Spontaneous Generation of Magnetic Fields in the Laboratory

    • F. H. Busse, U. Müller, R. Stieglitz, A. Tilgner

    Pages 546-558

15. From Single Cells to a Multicellular Organism: The Development of the Social Amoebae Dictyostelium Discoideum

    • Vasiev B. N., Weijer C. J.

    Pages 559-583

In the decades the of the formation of structures past subject spontaneous in far from has into a branch of - systems equilibrium major physics grown search with ties to It has become evident that strong neighboring disciplines. a diverse of can be understood within a common mat- phenomena range matical framework which has been called nonlinear of continuous dynamics This name the close to the field of nonlinear systems. emphasizes relationship of with few of freedom which has evolved into a dynamics systems degrees mature in the recent features mathematically subject past. Many dynamical of continuous be described reduction few can a to a systems actually through of freedom and of the latter of continue to degrees properties type systems of continuous the inspire study systems. The of this book is to demonstrate the numerous goal through examples that exist for the of nonlinear the opportunities study phenomena through tools of mathematical and use of common analyses dynamical interpretations. Instead of overview of the a providing comprehensive rapidly evolving field, the contributors to this book are to communicate to a wide scientific trying audience the of what have learnt about the formation of essence they spon- neous structures in continuous and about the dissipative systems competition between order and chaos that characterizes these It is that systems. hoped the book will be even to those scientists whose not helpful are disciplines the authors.

• chaos
• instability
• magnetic fields
• nonlinear dynamics
• semiconductor
• stability

 From the reviews:

"Overall, the book is a remarkable achievement, bringing together as it does so many of the strands ofresearch in so many different fields of physics and mathematics, and managing to present a digestible mixture of experiment and theory in almost every article." (UK Nonlinear News, 2001)

• Physikalisches Institut, Universität Bayreuth, Bayreuth, Germany

  Friedrich H. Busse

• Fakultät für Naturwissenschaften Institut für Experimentelle Physik, Otto-von-Guericke-Universität Magdeburg, Magdeburg, Germany

  Stefan C. Müller

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