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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

On New Generalized Hybrid Synchronization in Chaotic and Hyperchaotic Discrete-time Dynamical Systems

Journal of Applied Nonlinear Dynamics 8(3) (2019) 435--445 | DOI:10.5890/JAND.2019.09.007

Adel Ouannas$^{1}$, Lotfi Jouini$^{1}$, Okba Zehrour$^{2}$

$^{1}$ Departement of Mathematics and Computer Sciences, University of Larbi Tebessi, Tebessa, 12002 Algeria

$^{2}$ Departement of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi, Algeria

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Abstract

In this paper, by combining full state hybrid projective synchronisation (FSHPS) and inverse full state hybrid projective synchronisation (IFSHPS), we generalize the idea of hybrid chaos synchronization in discrete-time. Based on stability theory of linear discrete-time systems and Lyapunov stability theory, new approaches are proposed to investigate the new type of hybrid synchronization between chaotic maps of different dimensions. Several numerical examples have highlighted the effectiveness of the novel approaches developed herein.

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