Hermann Haken

Synergetics (eBook, PDF)

An Introduction Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642963636
• Artikelnr.: 53149454

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.