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.
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收藏
页数：13
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