Dynamic properties of coupled maps
type: Item
instance of: scholarly article
title: Dynamic properties of coupled maps
zbMATH Open document ID: 1417.37175
DOI: 10.1155/2010/905102
author: Huifeng Zheng
author: Chunrui Zhang
published in: Discrete Dynamics in Nature and Society
publication date: 2010-09-29T00:00:00Z
review text: Summary: Dynamic properties are investigated in the coupled system of three maps with symmetric nearest neighbor coupling and periodic boundary conditions. The dynamics of the system is controlled by certain coupling parameters. We show that, for some values of the parameters, the system exhibits nontrivial collective behavior, such as multiple bifurcations, and chaos. We give computer simulations to support the theoretical predictions.
Mathematics Subject Classification ID: 37G10
Mathematics Subject Classification ID: 37G15
zbMATH DE Number: 5793511
zbMATH Keywords: multiple bifurcations
zbMATH Keywords: coupled system of three maps
Wikidata QID: Q58650667
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2010/905102
OpenAlex ID: W2099885478
cites work: Q3576396
cites work: Symmetry breaking bifurcations in a circular chain of \(N\) coupled logistic maps
cites work: A chaotic Hopf bifurcation in coupled maps
cites work: Synchronous chaos in the coupled system of two logistic maps
cites work: A note on chaotic maps
cites work: Cluster-splitting bifurcation in a system of coupled maps
cites work: In-phase and antiphase complete chaotic synchronization in symmetrically coupled discrete maps
cites work: Singularities and groups in bifurcation theory. Volume II
cites work: Iterates of Maps with Symmetry
cites work: Stability and bifurcation of a two-dimension discrete neural network model with multi-delays
description: scientific article; zbMATH DE number 5793511