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

被引:0
作者
Xiong Wang
Adel Ouannas
Viet-Thanh Pham
Hamid Reza Abdolmohammadi
机构
[1] Shenzhen University,Institute for Advanced Study
[2] University of Larbi Tebessi,Department of Mathematics and Computer Science
[3] Ton Duc Thang University,Modeling Evolutionary Algorithms Simulation and Artificial Intelligent, Faculty of Electrical & Electronics Engineering
[4] Golpayegan University of Technology,Department of Electrical Engineering
来源
Advances in Difference Equations | / 2018卷
关键词
chaos; equilibrium; hidden attractor; fractional order; synchronization; 34H10; 26A33; 34A08;
D O I
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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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