基本説明
２つの古典的テキストを合冊して復刻した、分野全体を概観した必読研究書。
An often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969.
Full Description
This book is a reprint edition that comprises two titles, namely "Synergetics. An Introduction. Nonequilibrium Phase Transitions and Self-Organization in Physics, Chemistry and Biology" and ''Advanced Synergetics. Instability Hierarchies of Self Organizing Systems and Devices". The reason for this publication is two-fold: Since synergetics is a new type of interdisciplinary field, initiated by the author in 1969, the basic ideas developed in these volumes are of considerable theoretical interest. But much more than this, the methods and even the concrete examples presented in these books are still highly useful for graduate students, professors, and even for researchers in this fascinating field. The reason lies in the following facts: Synergetics deals with complex systems, i. e. systems that are composed of many individual parts that are able to spontaneously form spatial, temporal or functional structures by means of self-organization. Such phenomena occur in many fields ranging from physics, chemistry and biology to economy and sociology. More recent areas of application have been found in medicine and psychology, where the great potential of the basic principles of synergetics can be unearthed. Further applications have become possible in informatics, for instance the designing of new types of computers, and in other fields of engineering.
Contents
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.
