Multidimensional Discrete Chaotic Maps

In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior. Numerical examples regarding the multidimensional cases of the logistic map, the complex-valued Ik...

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Main Authors: Maide Bucolo, Arturo Buscarino, Luigi Fortuna, Salvina Gagliano
Format: Article
Language:English
Published: Frontiers Media S.A. 2022-04-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2022.862376/full
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author Maide Bucolo
Maide Bucolo
Arturo Buscarino
Arturo Buscarino
Luigi Fortuna
Luigi Fortuna
Salvina Gagliano
author_facet Maide Bucolo
Maide Bucolo
Arturo Buscarino
Arturo Buscarino
Luigi Fortuna
Luigi Fortuna
Salvina Gagliano
author_sort Maide Bucolo
collection DOAJ
description In this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior. Numerical examples regarding the multidimensional cases of the logistic map, the complex-valued Ikeda map, and the multivariable Henon map are reported.
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spelling doaj.art-8b7483ced7ee403484e33addb7b023ec2022-12-22T00:11:31ZengFrontiers Media S.A.Frontiers in Physics2296-424X2022-04-011010.3389/fphy.2022.862376862376Multidimensional Discrete Chaotic MapsMaide Bucolo0Maide Bucolo1Arturo Buscarino2Arturo Buscarino3Luigi Fortuna4Luigi Fortuna5Salvina Gagliano6Dipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, ItalyIASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, ItalyDipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, ItalyIASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, ItalyDipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, ItalyIASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, ItalyDipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, ItalyIn this paper, the general concept of multidimensional discrete maps is presented. Moreover, new and fundamental results show the invariance of the bifurcation points from periodic to chaotic behavior. Numerical examples regarding the multidimensional cases of the logistic map, the complex-valued Ikeda map, and the multivariable Henon map are reported.https://www.frontiersin.org/articles/10.3389/fphy.2022.862376/fullnonlinear dynamicsdiscrete mapsbifurcationchaosmultidimensional systems
spellingShingle Maide Bucolo
Maide Bucolo
Arturo Buscarino
Arturo Buscarino
Luigi Fortuna
Luigi Fortuna
Salvina Gagliano
Multidimensional Discrete Chaotic Maps
Frontiers in Physics
nonlinear dynamics
discrete maps
bifurcation
chaos
multidimensional systems
title Multidimensional Discrete Chaotic Maps
title_full Multidimensional Discrete Chaotic Maps
title_fullStr Multidimensional Discrete Chaotic Maps
title_full_unstemmed Multidimensional Discrete Chaotic Maps
title_short Multidimensional Discrete Chaotic Maps
title_sort multidimensional discrete chaotic maps
topic nonlinear dynamics
discrete maps
bifurcation
chaos
multidimensional systems
url https://www.frontiersin.org/articles/10.3389/fphy.2022.862376/full
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AT luigifortuna multidimensionaldiscretechaoticmaps
AT luigifortuna multidimensionaldiscretechaoticmaps
AT salvinagagliano multidimensionaldiscretechaoticmaps