Chemical Oscillations, Waves, and Turbulence (Springer Series in Synergetics Book 19) by Y. Kuramoto (PDF)

Description

Tbis book is intended to provide a few asymptotic methods which can be applied to the dynamics of self-oscillating fields of the reaction-diffusion type and of some related systems. Such systems, forming cooperative fields of a large num­ of interacting similar subunits, are considered as typical synergetic systems. ber Because each local subunit itself represents an active dynamical system function­ ing only in far-from-equilibrium situations, the entire system is capable of showing a variety of curious pattern formations and turbulencelike behaviors quite unfamiliar in thermodynamic cooperative fields. I personally believe that the nonlinear dynamics, deterministic or statistical, of fields composed of similar active (Le., non-equilibrium) elements will form an extremely attractive branch of physics in the near future. For the study of non-equilibrium cooperative systems, some theoretical guid­ ing principle would be highly desirable. In this connection, this book pushes for­ ward a particular physical viewpoint based on the slaving principle. The dis­ covery of tbis principle in non-equilibrium phase transitions, especially in lasers, was due to Hermann Haken. The great utility of this concept will again be dem­ onstrated in tbis book for the fields of coupled nonlinear oscillators.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This is a specialized book on a very interesting topic: oscillators in many different ways. As explained the modeling and theory developed can be applied to different applications. A nice text to refer to.

⭐This book is a must read for anyone who studies networks of oscillators. Its method for dimension reduction, though usually performed numerically via Malkin’s adjoint method, is very cleanly introduced, and explained in this text. It contains examples on how to understand pairs of oscillators, and large ensembles of them.It also contains, and perhaps is largely focused on, work related to dimensional reduction of PDEs. I have not personally used these results, but I know they are widely used.

⭐Get the book at the time that I expect. Good new book. Good service.

⭐EXCELLENT BOOK

⭐生物学徒には数式の神髄を理解する事は難しいけれど、重要な事項の解説は要領よく分かりやすく書かれていてリズム現象の面白さ、重要さがよく分かる優れた論文。

⭐

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