Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems

被引：0
|
作者：
Adel Ouannas
Giuseppe Grassi
Xiong Wang
Toufik Ziar
Viet-Thanh Pham
机构：
[1] University of Tebessa,Department of Mathematics
[2] Università del Salento,Dipartimento Ingegneria Innovazione
[3] Shenzhen University,Institute for Advanced Study
[4] University of Tebessa,Department of Material Sciences
[5] Ton Duc Thang University,Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering
来源：
Advances in Difference Equations | / 2018卷
关键词：
Coexistence of synchronization types; Full-state hybrid function projective synchronization; Inverse full-state hybrid function projective synchronization; Incommensurate fractional-order systems; Non-identical systems; 34H10; 26A33; 34A08;
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摘要：
This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized by different dimensions and orders. Specifically, a new theorem is illustrated, which ensures the coexistence of the full-state hybrid function projective synchronization (FSHFPS) and the inverse full-state hybrid function projective synchronization (IFSHFPS) between wide classes of three-dimensional master systems and four-dimensional slave systems. In order to show the capability of the approach, a numerical example is reported, which illustrates the coexistence of FSHFPS and IFSHFPS between the incommensurate chaotic fractional-order unified system and the incommensurate hyperchaotic fractional-order Lorenz system.
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