Dissipative Structures and Chaos

Hazime Mori, Yoshiki Kuramoto (Autoren)

Buch | Softcover

XIX, 299 Seiten

2011 | 1. Softcover reprint of the original 1st ed. 1998
Springer Berlin (Verlag)
978-3-642-80378-9 (ISBN)

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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.

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.

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.

"...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

Erscheint lt. Verlag	24.11.2011
Übersetzer	G.C. Paquette
Zusatzinfo	XIX, 299 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	486 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Chaos • Chaotic Attractors • Dissipative Structures • Energy Dissipation • Geometric and Statistic Description of Dynamical S • Geometric and Statistic Description of Dynamical Systems • Reduced Evolution Equations • Statistical Physics
ISBN-10	3-642-80378-4 / 3642803784
ISBN-13	978-3-642-80378-9 / 9783642803789
Zustand	Neuware