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Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical Dimensions
Journal article   Peer reviewed

Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical Dimensions

Samir Bendoukha
Acta Mathematicae Applicatae Sinica, Vol.37(3), pp.523-538
01/07/2021

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently, namely the 2D fractional Henon map and the 3D fractional generalized Henon map. We show that although these maps have non-identical dimensions, their synchronization is still possible. The proposed controllers are evaluated experimentally in the case of non-identical orders or time-varying orders. Numerical methods are used to illustrate the results.

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