政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/108119

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/108119

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政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/108119

請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/108119

題名:	具時間延遲之霍普菲爾神經網路的多重穩定性 Multistability in Hopfield-type neural networks with delays
作者:	陳冠瑋 Chen, Guan-Wei
貢獻者:	曾睿彬 Tseng, Jui-Pin 陳冠瑋 Chen, Guan-Wei
關鍵詞:	神經網路多重穩定性時間延遲收斂性
日期:	2017
上傳時間:	2017-04-05 15:36:48 (UTC+8)
摘要:	這篇論文研究具多重穩定性之時間延遲型霍普菲爾神經網路。我們以兩個神經元所組成的神經網路來表現我們的想法。運用方程式的幾何結構，我們可推導出各種使網路具有不同數量固定點的條件，我們可以進一步建立網路系統的全局收斂性。
參考文獻:	[1] Nikola Burić and Dragana Todorović. Dynamics of fitzhugh-nagumo excitable systems with delayed coupling. Phys. Rev. E, 67:066222, Jun 2003. [2] Sue Ann Campbell, R. Edwards, and P. van den Driessche. Delayed coupling between two neural network loops. SIAM J. Appl. Math., 65(1):316–335, 2004. [3] Chang-Yuan Cheng, Kuang-Hui Lin, Chih-Wen Shih, and Jui-Pin Tseng. Multistability for delayed neural networks via sequential contracting. IEEE Trans. Neural Netw. Learn. Syst., 26(12):3109–3122, 2015. [4] Michael A. Cohen and Stephen Grossberg. Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. IEEE Trans. Systems Man Cybernet., 13(5):815–826, 1983. [5] Jennifer Foss, André Longtin, Boualem Mensour, and John Milton. Multistability and de- layed recurrent loops. Phys. Rev. Lett., 76:708–711, Jan 1996. [6] J. J. Hopfield. Neurons with graded response have collective computational properties like those of two-state neurons. Proceedings of the National Academy of Sciences, 81:3088– 3092, 1984. [7] Xiaoxin Liao and Jun Wang. Global dissipativity of continuous-time recurrent neural net- works with time delay. Phys. Rev. E (3), 68(1):016118, 7, 2003. [8] Jui-Pin Tseng. Global asymptotic dynamics of a class of nonlinearly coupled neural net- works with delays. Discrete Contin. Dyn. Syst., 33(10):4693–4729, 2013. [9] Jianhong Wu. Introduction to neural dynamics and signal transmission delay, volume 6 of de Gruyter Series in Nonlinear Analysis and Applications. Walter de Gruyter & Co., Berlin, 2001.
描述:	碩士國立政治大學應用數學系 103751015
資料來源:	http://thesis.lib.nccu.edu.tw/record/#G0103751015
資料類型:	thesis
顯示於類別:	[應用數學系] 學位論文

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檔案	大小	格式	瀏覽次數
101501.pdf	3488Kb	Adobe PDF2	68	檢視/開啟

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