Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems -

Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems

Buch | Hardcover
XII, 362 Seiten
2005 | 2005
Springer Berlin (Verlag)
978-3-540-24289-5 (ISBN)
106,99 inkl. MwSt

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.

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.

Erscheint lt. Verlag 6.7.2005
Reihe/Serie Lecture Notes in Physics
Zusatzinfo XII, 362 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 654 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Naturwissenschaften Physik / Astronomie Thermodynamik
Schlagworte Applied dynamical systems • Coupled map lattices • Dynamical Systems • Nonlinear Dynamics • Spatially extended systems
ISBN-10 3-540-24289-9 / 3540242899
ISBN-13 978-3-540-24289-5 / 9783540242895
Zustand Neuware
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