Original scientific paper
https://doi.org/10.1080/00051144.2020.1795465
Ʌ - φ generalized synchronization: application to fractional hyperchaotic systems with arbitrary dimensions and orders
A. Ouannas
; Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa, Algeria
X. Wang
; Institute for Advanced Study, Shenzhen University, Shenzhen, People’s Republic of China
V.-T. Pham
; Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Nonlinear Systems and Applications, Ton Duc Thang University, Ho Chi Minh City, Vietnam
T. Ziar
; Department of Matter Sciences, Larbi Tebessi University of Tebessa, Tebessa, Algeria
Abstract
This paper investigates the Ʌ − φ generalized synchronization between non-identical fractionalorder systems characterized by different dimensions and different orders. The Ʌ − φ generalized synchronization combines the inverse matrix projective synchronization with the generalized synchronization. In particular, the proposed approach enables Ʌ − φ generalized synchronization to be achieved between n-dimensional master system and m-dimensional slave system in
different dimensions. The technique, which exploits nonlinear controllers, stability property of integer-order linear systems and Lyapunov stability theory, proves to be effective in achieving the Ʌ − φ generalized synchronization. Finally, the approach is applied between 4-D and 5-D fractional hyperchaotic systems with the aim to illustrate the capabilities of the novel scheme proposed herein.
Keywords
Chaos; inverse matrix projective synchronization; generalized synchronization; Lyapunov stability theory; fractional hyperchaotic systems
Hrčak ID:
258299
URI
Publication date:
23.9.2020.
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