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Title: 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
Authors: 陳冠瑋
Chen, Guan-Wei
Contributors: 曾睿彬
Tseng, Jui-Pin
Chen, Guan-Wei
Keywords: 神經網路
Date: 2017
Issue Date: 2017-04-05 15:36:48 (UTC+8)
Abstract: 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。
Reference: [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.
Description: 碩士
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Data Type: thesis
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