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  • Online Resource  (6)
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  • 1
    UID:
    b3kat_BV042414049
    Format: 1 Online-Ressource
    Edition: Second Enlarged Edition
    ISBN: 9783642964695 , 9783642964718
    Series Statement: Springer Series in Synergetics 1
    Note: The publication of this second edition was motivated by several facts. First of all, the first edition had been sold out in less than one year. It had found excellent critics and enthusiastic responses from professors and students welcoming this new interdisciplinary approach. This appreciation is reflected by the fact that the book is presently translated into Russian and Japanese also. I have used this opportunity to include some of the most interesting recent developments. Therefore I have added a whole new chapter on the fascinating and rapidly growing field of chaos dealing with irregular motion caused by deterministic forces. This kind of phenomenon is presently found in quite diverse fields ranging from physics to biology. Furthermore I have included a section on the analytical treatment of a morphogenetic model using the order parameter concept developed in this book. Among the further additions, there is now a complete description of the onset of ultrashort laser pulses. It goes without· saying that the few minor mis­ prints or errors of the first edition have been corrected. I wish to thank all who have helped me to incorporate these additions
    Language: English
    Keywords: Synergetik ; Komplexes System ; Nichtlineare Dynamik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Einführung ; Konferenzschrift ; Konferenzschrift
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  • 2
    UID:
    b3kat_BV042414047
    Format: 1 Online-Ressource
    ISBN: 9783642963636 , 9783642963650
    Note: The spontaneous formation of well organized structures out of germs or even out of chaos is one of the most fascinating phenomena and most challenging problems scientists are confronted with. Such phenomena are an experience of our daily life when we observe the growth of plants and animals. Thinking of much larger time scales, scientists are led into the problems of evolution, and, ultimately, of the origin of living matter. When we try to explain or understand in some sense these extremely complex biological phenomena it is a natural question, whether pro­ cesses of self-organization may be found in much simpler systems of the un­ animated world. In recent years it has become more and more evident that there exist numerous examples in physical and chemical systems where well organized spatial, temporal, or spatio-temporal structures arise out of chaotic states. Furthermore, as in living of these systems can be maintained only by a flux of organisms, the functioning energy (and matter) through them. In contrast to man-made machines, which are to exhibit special structures and functionings, these structures develop spon­ devised It came as a surprise to many scientists that taneously-they are self-organizing. numerous such systems show striking similarities in their behavior when passing from the disordered to the ordered state. This strongly indicates that the function­ of such systems obeys the same basic principles. In our book we wish to explain ing such basic principles and underlying conceptions and to present the mathematical tools to cope with them
    Language: English
    Keywords: Synergetik ; Komplexes System ; Nichtlineare Dynamik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Einführung ; Konferenzschrift ; Konferenzschrift
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  • 3
    UID:
    b3kat_BV042422912
    Format: 1 Online-Ressource (X, 276 p)
    ISBN: 9783642667848 , 9783642667862
    Series Statement: Springer Series in Synergetics 2
    Note: This volume contains most of the invited papers presented at the International Workshop on Synergetics, Schloss Elmau, Bavaria, May 2 to May 7, 1977. This workshop followed an International Symposium on Synergetics at Schloss Elmau, 1972, and an International Summerschool at Erice, Sicily, 1974. Synergetics is a rather new field of interdisciplinary research which studies the self-organized behavior of systems leading to the formation of structures and functionings. Indeed the whole universe seems to be organized, with pronounced structures starting from spiral galaxies down to living cells. Furthermore, very many of the most interesting phenomena occur in systems which are far from thermal equilibrium. Synergetics in its present form focusses its attention on those phenomena where dramatic changes occur on a macroscopic scale. Here indeed Synergetics was able to reveal profound analogies between systems in different disciplines ranging from physics to sociology. This volume contains contributions from various fields but the reader will easily discover their common goal. Not only in the natural sciences but also in ecology, sociology, and economy, man is confronted with the problems of complex systems. The principles and analogies unearthed by Synergetics will certainly be very helpful to cope with such difficult problems. I use this opportunity to thank the Volkswagenwerk Foundation for its support of the project Synergetics and in particular for sponsoring the International Workshop on Synergetics
    Language: English
    Keywords: Synergetik ; Komplexes System ; Nichtlineare Dynamik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Konferenzschrift
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  • 4
    Online Resource
    Online Resource
    Berlin, Heidelberg : Springer Berlin Heidelberg
    UID:
    b3kat_BV042423091
    Format: 1 Online-Ressource (XIV, 390 p)
    Edition: Third Revised and Enlarged Edition
    ISBN: 9783642883385 , 9783642883408
    Series Statement: Springer Series in Synergetics 1
    Note: Over the past years the field of synergetics has been mushrooming. An ever­increasing number of scientific papers are published on the subject, and numerous conferences all over the world are devoted to it. Depending on the particular aspects of synergetics being treated, these conferences can have such varied titles as "Nonequilibrium Nonlinear Statistical Physics," "Self-Organization," "Chaos and Order," and others. Many professors and students have expressed the view that the present book provides a good introduction to this new field. This is also reflected by the fact that it has been translated into Russian, Japanese, Chinese, German, and other languages, and that the second edition has also sold out. I am taking the third edition as an opportunity to cover some important recent developments and to make the book still more readable. First, I have largely revised the section on self-organization in continuously extended media and entirely rewritten the section on the Benard instability. Second, because the methods of synergetics are penetrating such fields as economics, I have included an economic model on the transition from full employment to underemployment in which I use the concept of nonequilibrium phase transitions developed elsewhere in the book. Third, because a great many papers are currently devoted to the fascinating problem of chaotic motion, I have added a section on discrete maps. These maps are widely used in such problems, and can reveal period-doubling bifurcations, intermittency, and chaos
    Language: English
    Keywords: Synergetik ; Komplexes System ; Nichtlineare Dynamik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Einführung ; Konferenzschrift ; Konferenzschrift
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  • 5
    UID:
    b3kat_BV042448404
    Format: 1 Online-Ressource
    Edition: Zweite Auflage
    ISBN: 9783642967757 , 9783642967764
    Language: German
    Keywords: Komplexes System ; Nichtlineare Dynamik ; Synergetik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Einführung ; Konferenzschrift ; Konferenzschrift
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  • 6
    UID:
    b3kat_BV042449555
    Format: 1 Online-Ressource (XIV, 396 S.)
    Edition: Dritte, erweiterte Auflage
    ISBN: 9783662101865 , 9783662101872
    Language: German
    Keywords: Komplexes System ; Nichtlineare Dynamik ; Synergetik ; Systemtheorie ; Phasenumwandlung ; Kritisches Phänomen ; Chaos ; Biologie ; Chemie ; Selbstorganisation ; Nichtgleichgewicht ; Einführung ; Konferenzschrift ; Konferenzschrift
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