Multidimensional Discrete Chaotic Maps

Maide Bucolo,Arturo Buscarino,Luigi Fortuna,Salvina Gagliano

FRONTIERS IN PHYSICS（2022）

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摘要

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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关键词

nonlinear dynamics, discrete maps, bifurcation, chaos, multidimensional systems

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