Titlebook: Spatio-Temporal Pattern Formation; With Examples from P Daniel Walgraef Textbook 1997 Springer Science+Business Media New York 1997 deforma

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The Turing Instability and Associated Spatial Structures,nce of autocatalytic interactions between molecules of different mobilities. Here also, the full dynamics may be reduced to much simpler forms near the instability, which capture the dominant effects of the asymptotic behavior of the system and allows a simplified analysis of pattern selection and stability [6.3].

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Appendices,ore, since multistability easily occurs in these systems, it is important to know, for practical purposes, how and why a particular state may be selected. The basic concepts that are needed to answer these questions and that are at the origin of the methods used throughout this book will be summarized here.

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Textbook 1997r, if one looks back 20 or 30 years, definite progress has been made in the modeling of insta­ bilities, analysis of the dynamics in their vicinity, pattern formation and stability, quantitative experimental and numerical analysis of patterns, and so on. Universal behaviors of complex systems close