• Home
  • Search
  • A few basic structures determine the behavior of a coupled map lattice
  • Cite Icon3
  • https://doi.org/10.1103/physreve.57.2757Copy DOI Icon

A few basic structures determine the behavior of a coupled map lattice

Show More
  • Abstract
  • Literature Map
  • References
  • Citations
  • Similar Papers
Abstract

The stability and formation of structures in lattices of diffusively coupled logistic maps are investigated for high nonlinearity and medium and large coupling. Two stability statements are given that relate the presence of the predominant attractors, i.e., cycles and quasiperiodic traveling waves, to the stability of a few simple periodic structures. They are supported by strong numerical evidence. Furthermore, they are justified through the description of some mechanisms that connect the formation of a stable structure to the cycles of the uncoupled lattice. As an important consequence, for given parameter values, an approximate prediction of the behavior of the lattice is allowed.

Similar Papers
  • Research Article
  • Citations4

C-oscillators and stability of stationary cluster structures in lattices of diffusively coupled oscillators

  • Jul 10, 2009
  • Chaos, Solitons and Fractals
  • Nikolai N Verichev +2
  • Research Article
  • Citations726

The role of biology in the formation, stabilization and degradation of soil structure

  • Mar 01, 1993
  • Geoderma
  • J.M Oades
  • Research Article
  • Citations48

A novel function of WAVE in lamellipodia: WAVE1 is required for stabilization of lamellipodial protrusions during cell spreading

  • Mar 21, 2005
  • Genes to Cells
  • Daisuke Yamazaki +3
  • Research Article
  • Citations27

Stability and formation of long period stacking order structure in Mg-based ternary alloys

  • Apr 03, 2015
  • Computational Materials Science
  • Zi-Ran Liu +1
  • Abstract

Zipper Like Structures Possible Intermediates to Assemble Duplex Mediated G-Quadruplex DNA

  • Jan 01, 2013
  • Biophysical Journal
  • Dennisse Gabriela Vallejo +2
  • Research Article
  • Citations43

Mechanisms of low-frequency bandgap formation and energy absorption of three-dimensional nested hybrid lattice structures

  • Nov 30, 2024
  • Composites Part B
  • Lingbo Li +8
  • Research Article
  • Citations153

Stabilization of RNA tertiary structure by monovalent cations

  • Sep 01, 2000
  • Journal of Molecular Biology
  • Ross Shiman +1
  • Research Article
  • Citations6

Effect of high hydrostatic pressure on hydration and activity of ribozymes

  • Mar 04, 2010
  • Molecular Biology Reports
  • Małgorzata Giel-Pietraszuk +2
  • Research Article

Effect of fibroblasts on promoting the sprout and migration of endothelial cells in three-dimensional pre-vascularized microstructures

  • Jul 15, 2022
  • Zhongguo xiu fu chong jian wai ke za zhi = Zhongguo xiufu chongjian waike zazhi = Chinese journal of reparative and reconstructive surgery
  • Jun Tanida +4
  • PDF
  • Research Article
  • Citations136

Evidence for the Formation of a Heptameric Ion Channel Complex by the Hepatitis C Virus P7 Protein in Vitro

  • Dec 01, 2006
  • Journal of Biological Chemistry
  • Dean Clarke +6
  • Single Book
  • Citations1

Carbon Stabilization by Clays in the Environment

  • Jan 01, 2009
  • Alain Plante +13
  • Research Article
  • Citations13

Experimental study of the thermal stability of dislocation structures produced through cyclic deformation in copper polycrystals

  • Aug 01, 1998
  • Scripta Materialia
  • Zhirui Wang
  • Research Article
  • Citations4

The Role of Lys Side Chains in the Stabilization of β-Turn Structure

  • Jan 01, 1988
  • Polymer Journal
  • Hiroshi Ishii +4
  • PDF
  • Research Article

Effect of spiral vortices on the stability of vortex structures in the diffusor

  • Mar 01, 2019
  • IOP Conference Series: Earth and Environmental Science
  • F Pochylý +2
  • Conference Article

Formation and stability of multidimensional structures in optics and atomic condensate: recent theoretical studies

  • Sep 17, 2009
  • Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE
  • Dumitru Mihalache
Cactus Communications logo

Copyright 2026 Cactus Communications. All rights reserved.