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  SPECIFICATION
PATTERN FORMATION AND DYNAMICS IN NONEQUILIBRIUM SYSTEMS (hb)2009
Author: MICHAEL CROSS
ISBN: 9780521770507
Year: 2009
Publisher: CAMBRIDGE UNIVERSITY PRESS
Category: PHYSICS
Edition: 1
Format: Hard Cover
Language: English
Pages: 552
 ABOUT THE TITLE
Many exciting frontiers of science and engineering require understanding the spatiotemporal properties of sustained nonequilibrium systems such as fluids, plasmas, reacting and diffusing chemicals, crystals solidifying from a melt, heart muscle, and networks of excitable neurons in brains. This introductory textbook for graduate students in biology, chemistry, engineering, mathematics, and physics provides a systematic account of the basic science common to these diverse areas. This book provides a careful pedagogical motivation of key concepts, discusses why diverse nonequilibrium systems often show similar patterns and dynamics, and gives a balanced discussion of the role of experiments, simulation, and analytics. It contains numerous worked examples and over 150 exercises. This book will also interest scientists who want to learn about the experiments, simulations, and theory that explain how complex patterns form in sustained nonequilibrium systems.

A systematic account of the basic science common to biology, chemistry, engineering, mathematics and physics Discusses the role of experiments, simulation, and analytics, and gives a careful pedagogical motivation of key concepts Contains over 150 exercises and numerous illustrative worked examples
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 TABLE OF CONTENTS
Preface
1. Introduction
2. Linear instability: basics
3. Linear instability: application to reacting and diffusing chemicals
4. Nonlinear states
5. Models
6. One-dimensional amplitude equation
7. Amplitude equations for two-dimensional patterns
8. Defects and fronts
9. Patterns far from threshold
10. Oscillatory patterns
11. Excitable media
12. Numerical methods
Appendixes
References
Index.
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