𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

✍ Scribed by Jean-René Chazottes, Bastien Fernandez (auth.)

Book ID
127432830
Publisher
Springer
Year
2005
Tongue
English
Weight
3 MB
Edition
1
Category
Library
City
Berlin; New York
ISBN
3540315209
ISSN
0075-8450

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Subjects

Complexity

📜 SIMILAR VOLUMES

Symbolic Dynamics of Coupled Map Lattice
Symbolic Dynamics of Coupled Map Lattices
✍ Pethel, Shawn D.; Corron, Ned J.; Bollt, Erik 📂 Article 📅 2006 🏛 The American Physical Society 🌐 English ⚖ 540 KB
Dynamics of chaos-order interface in cou
Dynamics of chaos-order interface in coupled map lattices
✍ Oliver Rudzick; Arkady Pikovsky; Christian Scheffczyk; Jürgen Kurths 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 870 KB

We study a coupled map lattice model with two states: a simple fixed point and spatio-temporal chaos. Preparing properly initial conditions, we investigate the dynamics of the interface between order and chaos. In the one-dimensional lattice regimes of irregular and regular front propagation behavio

Dynamics of coarse-grained variables in
Dynamics of coarse-grained variables in spatially extended systems
✍ G. Nicolis; M. Op de Beeck; C. Nicolis 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 718 KB

Some new ways to probe the dynamics of spatially extended systems giving rise to spatio-temporal chaos are explored. Coarse-grained observables suitable for describing large scale behavior are introduced by locally averaging the original variables over a spatial region and their stability, spatial c