Dissipative Structures and Chaos

Beschreibung

This monograph consists of two parts and gives an approach to the physics of open nonequilibrium systems. Part I derives the phenomena of dissipative structures on the basis of reduced evolution equations and includes Bénard convection and Belousov-Zhabotinskii chemical reactions. Part II discusses the physics and structures of chaos. While presenting a construction of the statistical physics of chaos, the authors unify the geometrical and statistical descriptions of dynamical systems. The shape of chaotic attractors is characterized, as are the mixing and diffusion of chaotic orbits and the fluctuation of energy dissipation exhibited by chaotic systems.
This book consists of two parts, the first dealing with dissipative structures and the second with the structure and physics of chaos. The first part was written by Y. Kuramoto and the second part by H. Mori. Throughout the book, emphasis is laid on fundamental concepts and methods rather than applications, which are too numerous to be treated here. Typical physical examples, however, including nonlinear forced oscilla tors, chemical reactions with diffusion, and Benard convection in horizontal fluid layers, are discussed explicitly. Our consideration of dissipative structures is based on a phenomenolog ical reduction theory in which universal aspects of the phenomena under consideration are emphasized, while the theory of chaos is developed to treat transport phenomena, such as the mixing and diffusion of chaotic orbits, from the viewpoint of the geometrical phase space structure of chaos. The title of the original, Japanese version of the book is Sanitsu Kozo to Kaosu (Dissipative Structures and Chaos). It is part of the Iwanami Koza Gendai no Butsurigaku (Iwanami Series on Modern Physics). The first Japanese edition was published in March 1994 and the second in August 1997. We are pleased that this book has been translated into English and that it can now have an audience outside of Japan. We would like to express our gratitude to Glenn Paquette for his English translation, which has made this book more understandable than the original in many respects.
Introduction to the field Research topics included Interdisciplinary approach Written by highly reputated Japanese scientists
Dissipative Structures and Chaos is a far reaching description of the important field of Chaos Theory. This textbook, consisting of two parts, is written for graduate and postgraduate students as well as for scientists. The first part describes the phenomena leading to chaotic behaviour. The structure of chaotic systems is treated in the second part of the book.

Autor*in

Hazime Mori

Themen in »Dissipative Structures and Chaos«

Chaos Chaotic Attractors Dissipative Structures Energy Dissipation Geometric and Statistic Description of Dynamical Systems Reduced Evolution Equations statistical physics

Stimmen zu »Dissipative Structures and Chaos«

"...extremely well written ...and has sufficient detail and clarity to enable readers (presumably post-graduates) to learn the important techniques presented... the best reference that I know that describes the physics (and in particular the statistical physics) of dissipative structures and chaos...an absolute must" Australian & New Zealand Physicist
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