The Co-existence of Different Synchronization Types in Fractional-order Discrete-time Chaotic Systems with Non–identical Dimensions and Orders
Samir Bendoukha,
Adel Ouannas,
Xiong Wang,
Amina-Aicha Khennaoui,
Viet-Thanh Pham,
Giuseppe Grassi,
Van Van Huynh
Affiliations
Samir Bendoukha
Electrical Engineering Department, College of Engineering at Yanbu, Taibah University, Medina 42353, Saudi Arabia
Adel Ouannas
Department of Mathematics and Computer Science, University of Larbi Tebessi, Tebessa 12002, Algeria
Xiong Wang
Institute for Advanced Study, Shenzhen University, Shenzhen 518060, China
Amina-Aicha Khennaoui
Department of Mathematics and Computer Sciences, University of Larbi Ben M’hidi, Oum El Bouaghi 04000, Algeria
Viet-Thanh Pham
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
Giuseppe Grassi
Dipartimento Ingegneria Innovazione, Universita del Salento, 73100 Lecce, Italy
Van Van Huynh
Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
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.
