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Dissipative Structures and Chaos

Autor Hazime Mori Traducere de G. C. Paquette Autor Yoshiki Kuramoto
en Limba Engleză Paperback – 24 noi 2011
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.
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Specificații

ISBN-13: 9783642803789
ISBN-10: 3642803784
Pagini: 320
Ilustrații: XIX, 299 p.
Dimensiuni: 155 x 235 x 17 mm
Greutate: 0.45 kg
Ediția:Softcover reprint of the original 1st ed. 1998
Editura: Springer Berlin, Heidelberg
Colecția Springer
Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Graduate

Cuprins

I. Dissipative Structures.- 1. A Representative Example of Dissipative Structure.- 2. Amplitude Equations and Their Applications.- 3. Reaction-Diffusion Systems and Interface Dynamics.- 4. Phase Dynamics.- 5. Foundations of Reduction Theory.- Supplement I: Dynamics of Coupled Oscillator Systems.- II. The Structure and Physics of Chaos.- 6. A Physical Approach to Chaos.- 7. Bifurcation Phenomena of Dissipative Dynamical Systems.- 8. The Statistical Physics of Aperiodic Motion.- 9 Chaotic Bifurcations and Critical Phenomena.- 10. Mixing and Diffusion in Chaos of Conservative Systems.- Supplement II: On the Structure of Chaos.- A. Appendix.- A.1 Periodic Points of Conservative Maps and Their Neighborhoods.- A.2 Variance and the Time Correlation Function.- A.3 The Cantor Repellor of Intermittent Chaos.

Recenzii

"...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

Textul de pe ultima copertă

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.

Caracteristici

Introduction to the field Research topics included Interdisciplinary approach Written by highly reputated Japanese scientists