1.

Record Nr.

UNISA996466791603316

Titolo

Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems [[electronic resource] /] / edited by Jean-René Chazottes, Bastien Fernandez

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2005

ISBN

3-540-31520-9

Edizione

[1st ed. 2005.]

Descrizione fisica

1 online resource (XII, 362 p.)

Collana

Lecture Notes in Physics, , 0075-8450 ; ; 671

Disciplina

530.1

Soggetti

Mathematical physics

Statistical physics

Dynamical systems

Theoretical, Mathematical and Computational Physics

Complex Systems

Statistical Physics and Dynamical Systems

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di contenuto

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.

Sommario/riassunto

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.