Ebook: Dynamics of Synergetic Systems: Proceedings of the International Symposium on Synergetics, Bielefeld, Fed. Rep. of Germany, September 24–29, 1979
- Tags: Systems Theory Control, Theoretical Mathematical and Computational Physics, Biochemistry general
- Series: Springer Series in Synergetics 6
- Year: 1980
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
This book contains the invited papers of an international symposium on Synergetics which was held at ZIF (Center for interdisciplinary research) at Bielefeld. Fed. Rep. of Germany. Sept. 24. -29 . • 1979. In keeping with our previous meetings. this one was truly interdisciplinary. Synergetic systems are those that can produce macroscopic spatial. temporal or functional structures in a self-organized way. I think that these proceedings draw a rather coherent picture of the present status of Synergetics, emphasizing this time theoretical aspects, although the proceedings contain also important con tributions from the experimental side. Synergetics has ties to many quite different disciplines as is clearly mirrored by the following articles. Out of the many ties I pick here only one example which is alluded to in the title of this book. Indeed, there is an important branch of mathematics called dynamic systems theory for which the problems of Synergetics might become an eldorado. While, undoubtedly, a good deal of dynamic systems had been motivated by mechanics, such as celestial and fluid dynamics, theory Synergetics provides us with a wealth of related problems of quite different fields, e. g. , lasers or chemical reaction processes. In order to become adequately applicable, in quite a number of realistic cases dynamic systems theory must be developed further. This is equally true for a number of other approaches.
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Lines of Developments of Synergetics....Pages 2-19
Front Matter....Pages 21-21
Critical Phenomena: Past, Present and “Future”....Pages 22-38
Critical Properties of Relativistic Bose Gases....Pages 39-46
Front Matter....Pages 47-47
Collective Effects in Rasers....Pages 48-56
Nonequilibrium Phase Transition in Highly Excited Semiconductors....Pages 57-66
Nonequilibrium Transitions Induced by External White and Coloured Noise....Pages 67-77
Front Matter....Pages 79-79
Chemical Waves in the Oscillatory Zhabotinskii System. A Transition from Temporal to Spatio-temporal Organization....Pages 80-96
Propagating Waves and Target Patterns in Chemical Systems....Pages 97-106
On the Consistency of the Mathematical Models of Chemical Reactions....Pages 107-118
The Critical Behavior of Nonequilibrium Transitions in Reacting Diffusing Systems....Pages 119-131
Front Matter....Pages 133-133
Diffusion-Induced Chemical Turbulence....Pages 134-146
Chaos and Turbulence....Pages 147-153
Front Matter....Pages 155-155
Self-organization of Biological Macromolecules and Evolutionary Stable Strategies....Pages 156-169
A Mathematical Model of the Hypercycle....Pages 170-178
Front Matter....Pages 179-179
Self-organization Phenomena in Multiple Unit Systems....Pages 180-190
Synchronized and Differentiated Modes of Cellular Dynamics....Pages 191-204
Dynamics of Cell-Mediated Immune Response....Pages 205-217
Front Matter....Pages 219-219
Bifurcations in Cognitive Networks: A Paradigm of Self-organization via Desynchronization....Pages 220-234
Dynamics of Interacting Groups in Society with Application to the Migration of Population....Pages 235-243
Front Matter....Pages 245-245
Structural Instability in Systems Modelling....Pages 246-254
Front Matter....Pages 245-245
Stationary and Time Dependent Solutions of Master Equations in Several Variables....Pages 255-259
Poissonian Techniques for Chemical Master Equations....Pages 260-269
Back Matter....Pages 271-271
Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
Lines of Developments of Synergetics....Pages 2-19
Front Matter....Pages 21-21
Critical Phenomena: Past, Present and “Future”....Pages 22-38
Critical Properties of Relativistic Bose Gases....Pages 39-46
Front Matter....Pages 47-47
Collective Effects in Rasers....Pages 48-56
Nonequilibrium Phase Transition in Highly Excited Semiconductors....Pages 57-66
Nonequilibrium Transitions Induced by External White and Coloured Noise....Pages 67-77
Front Matter....Pages 79-79
Chemical Waves in the Oscillatory Zhabotinskii System. A Transition from Temporal to Spatio-temporal Organization....Pages 80-96
Propagating Waves and Target Patterns in Chemical Systems....Pages 97-106
On the Consistency of the Mathematical Models of Chemical Reactions....Pages 107-118
The Critical Behavior of Nonequilibrium Transitions in Reacting Diffusing Systems....Pages 119-131
Front Matter....Pages 133-133
Diffusion-Induced Chemical Turbulence....Pages 134-146
Chaos and Turbulence....Pages 147-153
Front Matter....Pages 155-155
Self-organization of Biological Macromolecules and Evolutionary Stable Strategies....Pages 156-169
A Mathematical Model of the Hypercycle....Pages 170-178
Front Matter....Pages 179-179
Self-organization Phenomena in Multiple Unit Systems....Pages 180-190
Synchronized and Differentiated Modes of Cellular Dynamics....Pages 191-204
Dynamics of Cell-Mediated Immune Response....Pages 205-217
Front Matter....Pages 219-219
Bifurcations in Cognitive Networks: A Paradigm of Self-organization via Desynchronization....Pages 220-234
Dynamics of Interacting Groups in Society with Application to the Migration of Population....Pages 235-243
Front Matter....Pages 245-245
Structural Instability in Systems Modelling....Pages 246-254
Front Matter....Pages 245-245
Stationary and Time Dependent Solutions of Master Equations in Several Variables....Pages 255-259
Poissonian Techniques for Chemical Master Equations....Pages 260-269
Back Matter....Pages 271-271
....