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

被引：1

作者：

Ouannas, Adel ^{[1
]}

Grassi, Giuseppe ^{[2
]}

Wang, Xiong ^{[3
]}

Ziar, Toufik ^{[4
]}

Viet-Thanh Pham ^{[5
]}

机构：

[1] Univ Tebessa, Dept Math, Tebessa, Algeria

[2] Univ Salento, Dipartimento Ingn Innovaz, Lecce, Italy

[3] Shenzhen Univ, Inst Adv Study, Shenzhen, Peoples R China

[4] Univ Tebessa, Dept Mat Sci, Tebessa, Algeria

[5] Ton Duc Thang Univ, Fac Elect & Elect Engn, Modeling Evolutionary Algorithms Simulat & Artifi, Ho Chi Minh City, Vietnam

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

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; FUNCTION PROJECTIVE SYNCHRONIZATION; HYPERCHAOTIC SYSTEMS; NEURAL-NETWORKS; STABILITY;

D O I：

10.1186/s13662-018-1772-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页数：12

共 29 条

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[2]

[Anonymous], 1999, FRACTIONAL DIFFERENT

[3]

[Anonymous], 1993, Chaos in Dynamical Systems

[4]

Aziz-Alaoui M. A., 2006, Encyclopedia of Mathematical Physics, V5, P213

[5] The evolution of chaotic dynamics for fractional unified system [J].