The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders

Entropy

Giuseppe Grassi¹  Adel Ouannas²  Amina-Aicha Khennaoui³  VanVan Huynh⁴  Samir Bendoukha⁵  Xiong Wang⁶  Viet-Thanh Pham⁷ 

[1] Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;Department of Mathematics and Computer Science, University of Larbi Tebessi, Tebessa 12002, Algeria;Department of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi 04000, Algeria;Dipartimento Ingegneria Innovazione, Universita del Salento, 73100 Lecce, Italy;Electrical Engineering Department, College of Engineering at Yanbu, Taibah University, Medina 42353, Saudi Arabia;Institute for Advanced Study, Shenzhen University, Shenzhen 518060, China;;Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical &

关键词: fractional discrete chaos;    entropy;    projective synchronization;    full state hybrid projective synchronization;    generalized synchronization;    inverse full state hybrid projective synchronization;    inverse generalized synchronization;   

DOI  :  10.3390/e20090710

来源: DOAJ

【 摘 要 】

This paper is concerned with the co-existence of different synchronization types for fractional-order discrete-time chaotic systems with different dimensions. In particular, we show that through appropriate nonlinear control, projective synchronization (PS), full state hybrid projective synchronization (FSHPS), and generalized synchronization (GS) can be achieved simultaneously. A second nonlinear control scheme is developed whereby inverse full state hybrid projective synchronization (IFSHPS) and inverse generalized synchronization (IGS) are shown to co-exist. Numerical examples are presented to confirm the findings.

【 授权许可】

Unknown