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

Stabilization and Synchronization of Discrete-time Fractional Chaotic Systems with Non-identical... This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently, namely the 2D fractional Hénon map and the 3D fractional generalized Hénon 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

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

Acta Mathematicae Applicatae Sinica , Volume 37 (3) – Aug 5, 2021

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Publisher
Springer Journals
Copyright
Copyright © The Editorial Office of AMAS & Springer-Verlag GmbH Germany 2021
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-021-1029-5
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the stabilization and synchronization of two fractional chaotic maps proposed recently, namely the 2D fractional Hénon map and the 3D fractional generalized Hénon 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.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Aug 5, 2021

Keywords: discrete chaos; fractional discrete calculus; Hénon based maps; stabilization; synchronization; 34A08; 34H10; 34D06

References