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Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems
by
Ouannas, Adel
, Ziar, Toufik
, Grassi, Giuseppe
, Wang, Xiong
, Viet-Thanh Pham
in
Chaos theory
/ Lorenz system
/ Synchronism
2018
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Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems
by
Ouannas, Adel
, Ziar, Toufik
, Grassi, Giuseppe
, Wang, Xiong
, Viet-Thanh Pham
in
Chaos theory
/ Lorenz system
/ Synchronism
2018
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Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems
Journal Article
Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems
2018
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Overview
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.
Publisher
Springer Nature B.V
Subject
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