# American Institute of Mathematical Sciences

doi: 10.3934/era.2021041

## Synchronization for a class of complex-valued memristor-based competitive neural networks(CMCNNs) with different time scales

 1 School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China 2 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, 454000, China

* Corresponding author: Yong Zhao

Received  December 2020 Revised  March 2021 Published  May 2021

Fund Project: The first author is supported by NSF grant No.12062004 and No.11972115

In this paper, the synchronization problem of complex-valued memristive competitive neural networks(CMCNNs) with different time scales is investigated. Based on differential inclusions and inequality techniques, some novel sufficient conditions are derived to ensure synchronization of the drive-response systems by designing a proper controller. Finally, a numerical example is provided to illustrate the usefulness and feasibility of our results.

Citation: Yong Zhao, Shanshan Ren. Synchronization for a class of complex-valued memristor-based competitive neural networks(CMCNNs) with different time scales. Electronic Research Archive, doi: 10.3934/era.2021041
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##### References:
Synchronization errors of $e^R_1,e^R_2,h^R_1,h^R_2$ of system (45) and (46) with the controllers (20)
Synchronization errors of $e^I_1,e^I_2,h^I_1,h^I_2$ of system (45) and (46) with the controllers (20)
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