Hermann Haken

Synergetics (eBook, PDF)

An Introduction

• Format: PDF

Produktbeschreibung

Over the past years the field of synergetics has been mushrooming. An ever increasing 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. Sec ond, because the methods of synergetics are penetrating such fields as eco nomics, I have included an economic model on the transition from full employ ment 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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 390
• Erscheinungstermin: 11. November 2013
• Englisch
• ISBN-13: 9783642883385
• Artikelnr.: 53206250

Autorenporträt

Hermann Haken is Professor of the Institute for Theoretical Physics at the University of Stuttgart. He is known as the founder of synergetics. His research has been in nonlinear optics (in particular laser physics), solid state physics, statistical physics, and group theory. After the implementation of the first laser in 1960, Professor Haken developed his institute to an international center for laser theory. The interpretation of the laser principles as self organization of non equilibrium systems paved the way to the development of synergetics, of which Haken is recognized as the founder. Hermann Haken has been visiting professor or guest scientist in England, France, Japan, USA, Russia, and China. He is the author of some 23 textbooks and monographs that cover an impressive number of topics from laser physics to synergetics, and editor of a book series in synergetics. For his pathbreaking work and his influence on academic research, he has been awarded many-times. Among others

, he is member of the Order "Pour le merite" and received the Max Planck Medal in 1990.

Inhaltsangabe

Part I: Goal.- Probability.- Information.- Chance.- Necessity.- Chance and Necessity.- Self-Organization.- Physical Systems.- Chemical and Biochemical Systems.- Applications in Biology.- Sociology and Economics.- Chaos.- Some Historical Remarks and Outlook.- Part II: Linear Ordinary Differential Equations.- Linear Ordinary Differential Equations with Quasiperiodic Coefficients.- Stochastic Nonlinear Differential Equations.- The World of Coupled Nonlinear Oscillators.- Nonlinear Coupling of Oscillators: The Case of Persistence of Quasiperiodic Motion.- Nonlinear Equations. The Slaving Principle.- Nonlinear Equations. Qualitative Macroscopic Changes.- Spatial Patterns.- The Inclusion of Noise.- Discrete Noisy Maps.- Example of an Unsolvable Problem in Dynamics.- Some Comments on the Relation Between Synergetics and Other Sciences.