Overview
- Enriched with a vast range of exercises and solved problems
- Featuring a Foreword by Jacques Villain
- Introduces bifurcations and the language of nonlinear sciences with simple, visual examples
- Spans from elementary bifurcations to the origin of form and shape in nature
- Uses elementary mathematical language, accessible to all undergraduate students
- Provides detailed calculations of many problems of nonlinear physics, gathered in a single volume
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book offers an introduction to the physics of nonlinear phenomena through two complementary approaches: bifurcation theory and catastrophe theory. Readers will be gradually introduced to the language and formalisms of nonlinear sciences, which constitute the framework to describe complex systems. The difficulty with complex systems is that their evolution cannot be fully predicted because of the interdependence and interactions between their different components.
Starting with simple examples and working toward an increasing level of universalization, the work explores diverse scenarios of bifurcations and elementary catastrophes which characterize the qualitative behavior of nonlinear systems. The study of temporal evolution is undertaken using the equations that characterize stationary or oscillatory solutions, while spatial analysis introduces the fascinating problem of morphogenesis.
Accessible to undergraduate university students in any discipline concerned with nonlinear phenomena (physics, mathematics, chemistry, geology, economy, etc.), this work provides a wealth of information for teachers and researchers in these various fields.
Chaouqi Misbah is a senior researcher at the CNRS (National Centre of Scientific Research in France). His work spans from pattern formation in nonlinear science to complex fluids and biophysics. In 2002 he received a major award from the French Academy of Science for his achievements and in 2003 Grenoble University honoured him with a gold medal. Leader of a group of around 40 scientists, he is a member of the editorial board of the French Academy of Science since 2013 and also holds numerous national and international responsibilities.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Complex Dynamics and Morphogenesis
Book Subtitle: An Introduction to Nonlinear Science
Authors: Chaouqi Misbah
DOI: https://doi.org/10.1007/978-94-024-1020-4
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2017
Hardcover ISBN: 978-94-024-1018-1Published: 15 December 2016
Softcover ISBN: 978-94-024-1467-7Published: 05 July 2018
eBook ISBN: 978-94-024-1020-4Published: 01 December 2016
Edition Number: 1
Number of Pages: XIX, 463
Number of Illustrations: 179 b/w illustrations
Topics: Applications of Nonlinear Dynamics and Chaos Theory, Mathematical Methods in Physics, Complex Systems, Biological and Medical Physics, Biophysics