學術產出-Periodical Articles

Article View/Open

Publication Export

Google ScholarTM

政大圖書館

Citation Infomation

題名 Global synchronization of coupled reaction–diffusion neural networks with general couplings via an iterative approach
作者 曾睿彬
Tseng, Jui-Pin
貢獻者 應數系
日期 2020-08
上傳時間 27-May-2021 11:42:06 (UTC+8)
摘要 We establish a framework to investigate the global synchronization of coupled reaction–diffusion neural networks with time delays. The coupled networks under consideration can incorporate both the internal delays in each individual network and the transmission delays across different networks. The coupling scheme for the coupled networks is rather general, and its performance is not adversely affected by the restrictions commonly imposed by existing relevant investigations. Based on the proposed iterative approach, the problem of global synchronization is transformed into that of solving the corresponding homogeneous linear system of algebraic equations. The synchronization criterion is subsequently derived and can be verified with simple computations. Three numerical examples are presented to illustrate the effectiveness of the synchronization theory presented in this paper.
關聯 IMA Journal of Applied Mathematics, Vol.85, No.4, pp.635 - 669
資料類型 article
DOI https://doi.org/10.1093/imamat/hxaa025
dc.contributor 應數系
dc.creator (作者) 曾睿彬
dc.creator (作者) Tseng, Jui-Pin
dc.date (日期) 2020-08
dc.date.accessioned 27-May-2021 11:42:06 (UTC+8)-
dc.date.available 27-May-2021 11:42:06 (UTC+8)-
dc.date.issued (上傳時間) 27-May-2021 11:42:06 (UTC+8)-
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/135223-
dc.description.abstract (摘要) We establish a framework to investigate the global synchronization of coupled reaction–diffusion neural networks with time delays. The coupled networks under consideration can incorporate both the internal delays in each individual network and the transmission delays across different networks. The coupling scheme for the coupled networks is rather general, and its performance is not adversely affected by the restrictions commonly imposed by existing relevant investigations. Based on the proposed iterative approach, the problem of global synchronization is transformed into that of solving the corresponding homogeneous linear system of algebraic equations. The synchronization criterion is subsequently derived and can be verified with simple computations. Three numerical examples are presented to illustrate the effectiveness of the synchronization theory presented in this paper.
dc.format.extent 129 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) IMA Journal of Applied Mathematics, Vol.85, No.4, pp.635 - 669
dc.title (題名) Global synchronization of coupled reaction–diffusion neural networks with general couplings via an iterative approach
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1093/imamat/hxaa025
dc.doi.uri (DOI) https://doi.org/10.1093/imamat/hxaa025