Evolution of Dynamical Structures in Complex Systems

1. Front Matter

   Pages I-VIII

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2. General Approaches

   1. Front Matter

      Pages 1-1

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   2. On the Principles of Synergetics

      • A. Wunderlin

      Pages 3-41

   3. Elements of a Synergetics of Evolutionary Processes

      • W. Ebeling

      Pages 42-64

   4. Nonequilibrium Potentials

      • R. Graham, A. Hamm

      Pages 65-79

3. Lasers and Nonlinear Optics

   1. Front Matter

      Pages 81-81

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   2. Spatio-Temporal Instabilities in Nonlinear Optical Systems

      • M. Brambilla, M. Cattaneo, L. A. Lugiato, R. Pirovano, C. Pitzen, F. Prati

      Pages 83-99

   3. The Laser with a Saturable Absorber: A Paradigm for the Study of Laser Instabilities

      • D. Dangoisse, D. Hennequin, M. Lefranc, P. Glorieux

      Pages 100-113

   4. Dislocations in Laser Fields

      • C. O. Weiss, Chr. Tamm, K. Staliunas

      Pages 114-136

   5. On the Role of Noise in Nonlinear Optics

      • A. Schenzle

      Pages 137-162

4. Fluid Dynamics and Solid State Physics

   1. Front Matter

      Pages 163-163

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   2. Pattern Formation in Fluids — Variational and Non-Variational Models

      • M. Bestehorn

      Pages 165-196

   3. Dynamic Theory of Planetary Magnetism and Laboratory Experiments

      • F. H. Busse

      Pages 197-208

   4. Influence of Colored Noise on Energy Transport and Optical Line Shapes in Dimers

      • Ch. Warns, P. Reineker

      Pages 209-219

5. Biology and Medicine

   1. Front Matter

      Pages 221-221

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   2. Coordination Dynamics of Human Brain and Behavior

      • J. A. S. Kelso

      Pages 223-234

   3. Brain Electric Fields and Brain Functional States

      • D. Lehmann

      Pages 235-248

   4. Synergetic Analysis of Human Electroencephalograms: Petit-Mal Epilepsy

      • R. Friedrich, C. Uhl

      Pages 249-265

   5. Synergetics, Resonance Phenomena and Brain Internal Codes

      • E. Başar, C. Başar-Eroglu, T. Demiralp, M. Schürmann

      Pages 266-271

   6. Synergetics, Self-Simplification, and the Ability to Undo

      • O. G. Meijer, R. Bongaardt

      Pages 272-298

"Evolution of Dynamical Structures in Complex Systems" is dedicated to the founder of synergetics, Hermann Haken, on the occasion of his 65th birthday. This volume is an attempt to gather together and review the new results and de­ velopments achieved by researchers from various fields during the last few years. The contents bear witness to the great success in the development of general approaches to synergetic systems as well as remarkable progress in the more tra­ ditional fields of synergetics such as lasers and nonlinear optics, hydrodynamics, condensed matter physics, biology, and sociology. Since their inception, the concepts of synergetics and rigorous mathematical theories have been extended to other scientific disciplines such as medicine, artifi­ cial intelligence and synergetic computers, and psychology. Here too, these ideas have yielded new insights, raised unexpected questions and produced innovations in both theoretical and experimental projects. The conception of self-organization, the central theme of Hermann Haken' s scientific work, has stimulated epistemo­ logical studies that draw relations between synergetics and the German romantic "Naturphilosophie". It is fascinating to observe how these intuitive notions of self-organization, etc., have now evolved into a precise and holistic scientific comprehension of synergetic systems. We express our deep gratitude to Dr. Angela Lahee from Springer-Verlag for her valuable help during the preparation of this book. Stuttgart R. Frjedrjch March 1992 .4.. Wunder}jn Contents Part I General Approaches On the Principles of Synergetics By A. Wunderlin ...................................... 3 Elements of a Synergetics of Evolutionary Processes By W. Ebeling ......................... . . . . . . . . . . .. . .42 .

• complex system
• complex systems
• complexity
• non-linear dynamics
• self-organization

• Institut für Theoretische Physik, Universität, Stuttgart 80, Fed. Rep. of Germany

  Rudolf Friedrich, Arne Wunderlin

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