Overview
- The results described in the book have both inter- and transdisciplinary features and are of fundamental importance in nonlinear science
Part of the book series: Springer Series in Synergetics (SSSYN)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Keywords
About this book
Reviews
"The book may serve as an invaluable guide to all those interested in the rich phenomenology of spatio-temporal dynamic phenomena in active lattices, providing the reader with a variety of analytical and numerical methods that can be used in the study of concrete applications. In sum, it is a highly enjoyable, well-written book by two leading scientists in the field, with carefully chosen material, which is highly recommended to anyone wanting a good introduction to the subject." (Mathematical Reviews 2003b)
"In an applied, descriptive manner, the authors present and corroborate results through a mixture of heuristics, numerical investigations and mathematical analysis guided by general methods from geometric dynamical systems theory. [...] Each of the well written chapters starts with a motivation and ends with a summary; general conclusions and perspectives are given in the final chapter. [...] This book provides an easily accessible introduction and overview of phenomena and the current state of understanding in the field of waves and synchronization in spatially discrete systems." (Zentralblatt MATH, 1006, 2003)
"This book gives a comprehensive account of synergetic phenomena in active lattices. … throughout the book insights on the possible use of the results in applications such as computer architecture or neuronal science are given. … The book may serve as an invaluable guide to all those interested in the rich pheonomenology of spatio-temporal dynamic phenomena in active lattices … . In sum, it is a highly enjoyable, well-written book … which is highly recommended to anyone wanting a good introduction to the subject." (Athanasios Yannacopoulos, Mathematical Reviews, Issue 2003 b)
"The present textbook concerns pattern formation in lattices of coupled cells with oscillatory or excitable dynamics. In an applied, descriptive manner, the authors present and corroborate results through a mixture of heuristics, numericalinvestigations and mathematical analysis guided by general methods from geometric dynamical systems theory. … This book provides an easily accessible introduction and overview of phenomena and the current state of understanding in the field of waves and synchronization in spatially discrete systems." (Jens Rademacher, Zentralblatt MATH, Vol. 1006, 2003)
Authors and Affiliations
Bibliographic Information
Book Title: Synergetic Phenomena in Active Lattices
Book Subtitle: Patterns, Waves, Solitons, Chaos
Authors: Vladimir I. Nekorkin, Manuel G. Velarde
Series Title: Springer Series in Synergetics
DOI: https://doi.org/10.1007/978-3-642-56053-8
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2002
Hardcover ISBN: 978-3-540-42715-5Published: 07 February 2002
Softcover ISBN: 978-3-642-62725-5Published: 17 August 2012
eBook ISBN: 978-3-642-56053-8Published: 06 December 2012
Series ISSN: 0172-7389
Series E-ISSN: 2198-333X
Edition Number: 1
Number of Pages: XVII, 359
Topics: Acoustics, Condensed Matter Physics, Complex Systems, Phase Transitions and Multiphase Systems, Mathematical Methods in Physics, Statistical Physics and Dynamical Systems