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

共 50 条

[41] Complex Dynamics of the Fractional-Order Rossler System and Its Tracking Synchronization Control
Wang, Huihai
He, Shaobo
Sun, Kehui
COMPLEXITY, 2018,
[42] A New Piecewise Fractional-order Chaotic System and Its Successive Mismatch Synchronization
Shan Liang
Liu Zhong
Min Fuhong
Li Jun
Wang Zhiquan
PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 682 - 687
[43] Chaos in fractional-order generalized Lorenz system and its synchronization circuit simulation
张若洵
杨世平
Chinese Physics B, 2009, (08) : 3295 - 3303
[44] Dynamics of fractional-order sinusoidally forced simplified Lorenz system and its synchronization
Wang, Yan
Sun, Kehui
He, Shaobo
Wang, Huihai
EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2014, 223 (08): : 1591 - 1600
[45] Dynamical analysis of a new fractional-order Rabinovich system and its fractional matrix projective synchronization
He, Jinman
Chen, Fangqi
CHINESE JOURNAL OF PHYSICS, 2018, 56 (05) : 2627 - 2637
[46] A fractional-order multi-scroll hyperchaotic Chua system and its synchronization
Xi, Huiling
PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012), 2012, : 1436 - 1441
[47] Synchronization of the fractional-order generalized augmented Lu system and its circuit implementation
Xue Wei
Xu Jin-Kang
Cang Shi-Jian
Jia Hong-Yan
CHINESE PHYSICS B, 2014, 23 (06)
[48] Elegant Chaos in Fractional-Order System without Equilibria
Cafagna, Donato
Grassi, Giuseppe
MATHEMATICAL PROBLEMS IN ENGINEERING, 2013, 2013
[49] Chaos and synchronization of the fractional-order Chua's system
Zhu, Hao
Zhou, Shangbo
Zhang, Jun
CHAOS SOLITONS & FRACTALS, 2009, 39 (04) : 1595 - 1603
[50] Adaptive control and synchronization of a fractional-order chaotic system
Li, Chunlai
Tong, Yaonan
PRAMANA-JOURNAL OF PHYSICS, 2013, 80 (04): : 583 - 592

← 1 2 3 4 5 →