New theorems on global convergence of some dynamical systems

Neural Networks : the Official Journal of the International Neural Network Society
T Chen, Shun-ichi Amari

Abstract

In this paper, we discuss dynamical behaviors of recurrently asymmetrically connected neural networks. We propose a new approach to study global convergence of the networks. Better test conditions for global convergence are given.

References

Mar 1, 1990·IEEE Transactions on Bio-medical Engineering·D G Kelly
Aug 8, 1986·Science·J J Hopfield, D W Tank
May 1, 1984·Proceedings of the National Academy of Sciences of the United States of America·J J Hopfield
Feb 5, 2008·IEEE Transactions on Neural Networks·Tianping Chen, Shun-ichi Amari
Jan 1, 1996·IEEE Transactions on Neural Networks·Y Fang, T G Kincaid
Jan 1, 1994·IEEE Transactions on Neural Networks·H Yang, T S Dillon

Citations

Dec 24, 2003·Neural Networks : the Official Journal of the International Neural Network Society·Zongben XuBo Zhang
Dec 24, 2003·Neural Networks : the Official Journal of the International Neural Network Society·Jin ZhouGuanrong Chen
Mar 30, 2007·International Journal of Neural Systems·Jinn-Wen Wu, Kuo-Chih Chen
Dec 19, 2002·Neural Computation·Tianping ChenShun-ichi Amari
Jun 14, 2003·Neural Computation·Wenlian Lu, Tianping Chen
Jun 23, 2005·Neural Computation·Miguel AtenciaFrancisco Sandoval
Dec 29, 2015·Neural Networks : the Official Journal of the International Neural Network Society·Zhengwen TuTasawar Hayat
Dec 5, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Lili WangTianping Chen
Apr 2, 2009·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Lisheng WangJigen Peng
Aug 28, 2009·IEEE Transactions on Neural Networks·Lili WangTianping Chen
Mar 10, 2011·IEEE Transactions on Neural Networks·Chuangxia Huang, Jinde Cao
Feb 6, 2008·IEEE Transactions on Neural Networks·Tianping Chen
Feb 2, 2008·IEEE Transactions on Systems, Man, and Cybernetics. Part B, Cybernetics : a Publication of the IEEE Systems, Man, and Cybernetics Society·Qiao HongBo Zhang
Jan 11, 2011·IEEE Transactions on Neural Networks·Wenlian LuTianping Chen
Nov 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Lili Wang, Tianping Chen

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