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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Format: | Article |
Language: | English |
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Frontiers Media S.A.
2022-04-01
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Series: | Frontiers in Physics |
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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. |
first_indexed | 2024-12-12T21:23:10Z |
format | Article |
id | doaj.art-8b7483ced7ee403484e33addb7b023ec |
institution | Directory Open Access Journal |
issn | 2296-424X |
language | English |
last_indexed | 2024-12-12T21:23:10Z |
publishDate | 2022-04-01 |
publisher | Frontiers Media S.A. |
record_format | Article |
series | Frontiers in Physics |
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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