This book is 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, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields asdiverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived. INDICE: 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 ofQuasiperiodic Motion.- Nonlinear Equations. The Slaving Principle.- NonlinearEquations. Qualitative Macroscopic Changes.- Spatial Patterns.- The Inclusionof Noise.- Discrete Noisy Maps.- Example of an Unsolvable Problem in Dynamics.- Some Comments on the Relation Between Synergetics and Other Sciences.
- ISBN: 978-3-642-07405-9
- Editorial: Springer
- Encuadernacion: Rústica
- Fecha Publicación: 10/02/2012
- Nº Volúmenes: 1
- Idioma: Inglés