Riddling bifurcations in coupled piecewise linear maps
type: Item
instance of: scholarly article
title: Riddling bifurcations in coupled piecewise linear maps
zbMATH Open document ID: 0964.37031
DOI: 10.1016/S0167-2789(98)00249-8
author: Tomasz Kapitaniak
author: Yuri Maistrenko
published in: Physica D
publication date: 1999-12-06T00:00:00Z
review text: The authors deal with chaotic systems with invariant manifolds, as for example in chaos synchronization schemes. Here the authors identify and describe the special features of bifurcations leading to locally and globally riddled basins in the system of coupled, piecewise linear maps. The authors show differences between these bifurcations and equivalent bifurcations in coupled, smooth systems. Moreover, they consider the influence of the bifurcation of a chaotic attractor \({\mathcal A}\) on the structure of its basin of attraction.
Mathematics Subject Classification ID: 37G35
Mathematics Subject Classification ID: 34K18
Mathematics Subject Classification ID: 34K60
zbMATH DE Number: 1374316
zbMATH Keywords: chaotic system
zbMATH Keywords: bifurcation
zbMATH Keywords: basin of attraction
zbMATH Keywords: synchronization
zbMATH Keywords: riddled basins
reviewed by: Messoud Efendiev
describes a project that uses: Dynamics
MaRDI profile type: Publication
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full work available at URL: s0167-2789(98)00249-8
OpenAlex ID: W2082762651
description: scientific article; zbMATH DE number 1374316