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Supervised by Ministry of Industry and Information Technology of The People''s Republic of China Sponsored by Harbin Institute of Technology Editor-in-chief Yu Zhou ISSNISSN 1005-9113 CNCN 23-1378/T

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Hidden Attractors in a Delayed Memristive Differential System with Fractional Order and Chaos Synchronization
Dawei Ding1,2, Yecui Weng1,2, Nian Wang1,2
1. School of Electronics and Information Engineering, Anhui University, Hefei 230601, China;2. Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei 230601, China
As an important research branch, memristor has attracted a range of scholars to study the property of memristive chaotic systems. Additionally, time-delayed systems are considered a significant and newly-developing field in modern research. By combining memristor and time-delay, a delayed memristive differential system with fractional order is proposed in this paper, which can generate hidden attractors. First, we discussed the dynamics of the proposed system where the parameter was set as the bifurcation parameter, and showed that with the increase of the parameter, the system generated rich chaotic phenomena such as bifurcation, chaos, and hypherchaos. Then we derived adequate and appropriate stability criteria to guarantee the system to achieve synchronization. Lastly, examples were provided to analyze and confirm the influence of parameter a , fractional order q , and time delay τ on chaos synchronization.The simulation results confirm that the chaotic synchronization is affected by a,q and τ .
Key words:  fractional order  memristive  time-delay  hidden attractors  chaos synchronization
Clc Number:N93
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