@inproceedings{cd186b7441f14ceca7c4bbba095b9f6b,
title = "Stability analysis of multiple equilibria for recurrent neural networks with discontinuous Mexican-hat-type activation function",
abstract = "This paper is concerned with stability analysis of multiple equilibria for recurrent neural networks. A new type of activation function, namely, discontinuous Mexican-hat-type activation function, is proposed for recurrent neural networks. Then with the aid of the fixed point theorem, some sufficient conditions for coexistent multiple equilibria are obtained to guarantee that such n-neuron recurrent neural networks can have at least 4n equilibria. In view of the theory of strict diagonal dominance matrix, further stability analysis reveals that 3n equilibria are locally exponentially stable. The new results considerably improve the existing multistability results in the literature.",
keywords = "fixed point theory, matrices, recurrent neural networks, stability analysis",
author = "Xiaobing Nie and Zheng, {Wei Xing} and Jinhu L{\"u}",
year = "2015",
doi = "10.1109/ISCAS.2015.7168697",
language = "English",
isbn = "9781479983926",
publisher = "IEEE",
pages = "569--572",
booktitle = "Proceedings: 2015 IEEE International Symposium on Circuits and Systems, ISCAS 2015, Lisbon, Portugal, 24-27 May 2015",
note = "IEEE International Symposium on Circuits and Systems ; Conference date: 24-05-2015",
}