Multidimensional Discrete Chaotic Maps
Maide Bucolo, Arturo Buscarino, Luigi Fortuna, Salvina Gagliano
Abstract
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.
Topics & Concepts
ChaoticLogistic mapHénon mapBifurcationMultivariable calculusMathematicsPure mathematicsApplied mathematicsComputer scienceNonlinear systemArtificial intelligencePhysicsEngineeringQuantum mechanicsControl engineeringChaos control and synchronizationMathematical Dynamics and FractalsQuantum chaos and dynamical systems