Multidimensional Discrete Chaotic Maps

Maide Bucolo; Maide Bucolo; Arturo Buscarino; Arturo Buscarino; Luigi Fortuna; Luigi Fortuna; Salvina Gagliano

doi:10.3389/fphy.2022.862376

Frontiers in Physics (Apr 2022)

Multidimensional Discrete Chaotic Maps

Maide Bucolo,
Maide Bucolo,
Arturo Buscarino,
Arturo Buscarino,
Luigi Fortuna,
Luigi Fortuna,
Salvina Gagliano

Affiliations

Maide Bucolo: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, Italy
Maide Bucolo: IASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, Italy
Arturo Buscarino: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, Italy
Arturo Buscarino: IASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, Italy
Luigi Fortuna: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, Italy
Luigi Fortuna: IASI, Consiglio Nazionale Delle Ricerche (CNR), Roma, Italy
Salvina Gagliano: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, University of Catania, Catania, Italy

DOI: https://doi.org/10.3389/fphy.2022.862376
Journal volume & issue: Vol. 10

Abstract

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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.

Published in Frontiers in Physics

ISSN: 2296-424X (Online)
Publisher: Frontiers Media S.A.
Country of publisher: Switzerland
LCC subjects: Science: Physics
Website: https://www.frontiersin.org/journals/physics

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