Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

1. Auflage. Softcover version of original hardcover Auflage 2005
ISBN: 978-3-642-06353-4
Verlag: Springer

Buch, Englisch, 362 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 569 g

Reihe: Lecture Notes in Physics

This book is about the dynamics of coupled map lattices (CML) and of related spatially extended systems. It will be useful to post-graduate students and researchers seeking an overview of the state-of-the-art and of open problems in this area of nonlinear dynamics. The special feature of this book is that it describes the (mathematical) theory of CML and some related systems and their phenomenology, with some examples of CML modeling of concrete systems (from physics and biology). More precisely, the book deals with statistical properties of (weakly) coupled chaotic maps, geometric aspects of (chaotic) CML, monotonic spatially extended systems, and dynamical models of specific biological systems.

Zielgruppe

Research

Autoren/Hrsg.

Fernandez, Bastien

Chazottes, Jean-René

Fachgebiete

• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik

Inhaltsverzeichnis

Clustering in Globally Coupled Maps.- Snychronisation in CML.- Dynamics of Frenkel-Kontorova Chains.- Attractors and Bifurcations in CML.- Dynamics of Genetic Regulation Networks.- Phase Transitions in CML.- Introduction to CML.- Topological Properties of Chaotic CML.- TBA.- Monotonic Dynamics of Extended Systems.- Neural Networks: Integro-Differential Models.- Equilibrium States for CML.- Transfer Operators in CML.