Universality and scaling in two-dimensional coupled map lattices
type: Item
instance of: scholarly article
title: Universality and scaling in two-dimensional coupled map lattices
zbMATH Open document ID: 0784.58042
DOI: 10.1016/0960-0779(92)90037-N
published in: Chaos, Solitons and Fractals
publication date: 1993-05-16T00:00:00Z
review text: The Feigenbaum theory plays a key role in investigating a period doubling transition to chaos in the ordinary systems. In this paper an approach using renormalization group techniques is developed for coupled map lattices. Two models are discussed in details: lattice and continuous. Two types of coupling are distinguished, inertial and dissipative, and their influence on dynamics near the onset of chaos is discussed. Numerical simulations demonstrate the existence of scaling and universality as well as they show examples of spatial patterns and spectra for both types of scaling.
reviewed by: Petr Plecháč
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37B99
zbMATH DE Number: 166391
zbMATH Keywords: renormalization group
zbMATH Keywords: coupled map
zbMATH Keywords: scaling
zbMATH Keywords: universality
author: S. P. Kuznetsov
MaRDI profile type: Publication
cites work: 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''.
cites work: Universality and scaling of period-doubling bifurcations in a dissipative distributed medium
cites work: The onset and spatial development of turbulence in flow systems
cites work: Quantitative universality for a class of nonlinear transformations
cites work: The universal metric properties of nonlinear transformations
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description: scientific article; zbMATH DE number 166391