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Titlebook: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems; Jean-René Chazottes,Bastien Fernandez Book 2005 Springer-Verla

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书目名称Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems
编辑Jean-René Chazottes,Bastien Fernandez
视频video
概述Overview of the state-of-the-art and of open problems useful to both post-graduate students and researchers.Description of the (mathematical) theory of CML and some related systems
丛书名称Lecture Notes in Physics
图书封面Titlebook: Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems;  Jean-René Chazottes,Bastien Fernandez Book 2005 Springer-Verla
描述.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..
出版日期Book 2005
关键词Applied dynamical systems; Coupled map lattices; Spatially extended systems; dynamical systems; nonlinea
版次1
doihttps://doi.org/10.1007/b103930
isbn_softcover978-3-642-06353-4
isbn_ebook978-3-540-31520-9Series ISSN 0075-8450 Series E-ISSN 1616-6361
issn_series 0075-8450
copyrightSpringer-Verlag Berlin Heidelberg 2005
The information of publication is updating

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,Indecomposable Coupled Map Lattices with Non–unique Phase,carries a unique probability measure describing the long-time statistics of the forward orbits of almost all initial conditions in its basin. This was proved [28] by converting the orbits of the dynamical system into symbol sequences from a finite alphabet (indexed by time) and considering them as s
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SRB-Measures for Coupled Map Lattices,I give a brief introduction to the behaviour of Hausdor. dimension under general projections. Finally, I construct a counterexample to the Bricmont–Kupiainen conjecture and discuss its role in the definition of SRB–measures for coupled map lattices.
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A Spectral Gap for a One-dimensional Lattice of Coupled Piecewise Expanding Interval Maps,d to have full branches nor the coupling map needs to be a homeomorphism of the infinite dimensional state space, we cannot use symbolic dynamics or other techniques from statistical mechanics. Instead we prove that the transfer operator of the infinite dimensional system has a spectral gap on suita
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Spatially Extended Monotone Mappings,ance in alloy solidification, in population dynamics and in solid-state physics. Special emphasis is made on the existence of travelling waves, on the uniqueness of their velocity and on their relevance for the description of propagation phenomena in such systems.
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