A fractional-order form of a system with stable equilibria and its synchronization

被引：13

作者：

Wang, Xiong ^{[1
]}

Ouannas, Adel ^{[2
]}

Viet-Thanh Pham ^{[3
]}

Abdolmohammadi, Hamid Reza ^{[4
]}

机构：

[1] Shenzhen Univ, Inst Adv Study, Shenzhen 518060, Guangdong, Peoples R China

[2] Univ Larbi Tebessi, Dept Math & Comp Sci, Tebessa 12002, Algeria

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

[4] Golpayegan Univ Technol, Dept Elect Engn, Golpayegan, Iran

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2018年

基金：

中国国家自然科学基金;

关键词：

chaos; equilibrium; hidden attractor; fractional order; synchronization; CHAOTIC AUTONOMOUS SYSTEM; SPROTT C SYSTEM; CIRCUIT-DESIGN; PROJECTIVE SYNCHRONIZATION; LYAPUNOV FUNCTIONS; DYNAMICAL ANALYSIS; HIDDEN ATTRACTORS; MULTISTABILITY; IMPLEMENTATION; STABILITY;

D O I：

10.1186/s13662-018-1479-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form of a system with stable equilibrium is introduced. It is interesting that such a three-dimensional fractional system can exhibit chaotic attractors. Full-state hybrid projective synchronization scheme and inverse full-state hybrid projective synchronization scheme have been designed to synchronize the three-dimensional fractional system with different four-dimensional fractional systems. Numerical examples have verified the proposed synchronization schemes.

引用

页数：13

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