Space–time renormalization at the onset of spatio–temporal chaos in coupled maps

DOI10.1063/1.165872zbMath1055.37527OpenAlexW2039291867WikidataQ73464243 ScholiaQ73464243MaRDI QIDQ4526240

Preben Alstrøm, Dimitris Stassinopoulos

Publication date: 16 January 2001

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.165872

Mathematics Subject Classification ID

Renormalization group methods applied to problems in quantum field theory (81T17) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Universality and renormalization of dynamical systems (37E20)

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Property of period-doubling bifurcation cascades of discrete dynamical systems, A period doubling route to spatiotemporal chaos in a system of Ginzburg-Landau equations for nematic electroconvection

Cites Work

• The universal metric properties of nonlinear transformations
• Universality and scaling of period-doubling bifurcations in a dissipative distributed medium
• Scaling exponents, relations, and order dependence for circle maps
• Spatio-temporal intermittency in coupled map lattices