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

TITLE=Multidimensional Discrete Chaotic Maps

JOURNAL=Frontiers in Physics

VOLUME=10

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2022.862376

DOI=10.3389/fphy.2022.862376

ISSN=2296-424X

ABSTRACT=<p>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.</p>