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Coupled Map Lattice

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TLDR
In the first two lectures of the summer school, we have reported the studies of spatiotemporal chaos with the use of coupled map lattices (CML).
Abstract
In the first two lectures of the summer school, I have reported the studies of spatiotemporal chaos with the use of coupled map lattices (CML). On the first lecture, I have shown some qualitative results of CMLs. Since some of the inovating features in CML modelling are not recognized, some questions and answers are listed up here, starting from the most trivial one.

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References
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On the nature of turbulence

TL;DR: A mechanism for the generation of turbulence and related phenomena in dissipative systems is proposed in this article, where the authors propose a mechanism for generating turbulence in a dissipative system with respect to dissipative energy.
Journal ArticleDOI

An equation for hyperchaos

TL;DR: A simple four-variable oscillator containing but one quadratic term produces a higher form of chaos with two (rather than one) directions of hyperbolic instability on the attractor as mentioned in this paper.
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The universal metric properties of nonlinear transformations

TL;DR: In this paper, the role of functional equations to describe the exact local structure of highly bifurcated attractors is formally developed, and a hierarchy of universal functions, each descriptive of the same local structure but at levels of a cluster of 2>>\s points, is presented.
Journal ArticleDOI

Period-Doubling of Kink-Antikink Patterns, Quasiperiodicity in Antiferro-Like Structures and Spatial Intermittency in Coupled Logistic Lattice*) -- Towards a Prelude of a "Field Theory of Chaos"--

TL;DR: On etudie des caracteristiques qualitatives d'un reseau a une dimension d'applications logistiques couplees, on trouve des configurations duales-antiduales de cycles 2 n -periodiques avec leurs bifurcations a dedoublement de periode
Journal ArticleDOI

Spacetime chaos in coupled map lattices

TL;DR: In this article, it was shown that the Z2 dynamical system generated by space translations and dynamics has a unique invariant mixing Gibbs measure with absolutely continuous finite-dimensional projections.
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