An overview of the stability analysis of recurrent neural networks with multiple equilibria

P Liu, J Wang, Z Zeng - IEEE Transactions on Neural Networks …, 2021 - ieeexplore.ieee.org
The stability analysis of recurrent neural networks (RNNs) with multiple equilibria has
received extensive interest since it is a prerequisite for successful applications of RNNs …

Multistability of neural networks with Mexican-hat-type activation functions

L Wang, T Chen - IEEE Transactions on Neural Networks and …, 2012 - ieeexplore.ieee.org
In this paper, we are concerned with a class of neural networks with Mexican-hat-type
activation functions. Due to the different structure from neural networks with saturated …

Multistability of recurrent neural networks with nonmonotonic activation functions and unbounded time-varying delays

P Liu, Z Zeng, J Wang - IEEE transactions on neural networks …, 2017 - ieeexplore.ieee.org
This paper is concerned with the coexistence of multiple equilibrium points and dynamical
behaviors of recurrent neural networks with nonmonotonic activation functions and …

Multistability analysis of a general class of recurrent neural networks with non-monotonic activation functions and time-varying delays

P Liu, Z Zeng, J Wang - Neural Networks, 2016 - Elsevier
This paper addresses the multistability for a general class of recurrent neural networks with
time-varying delays. Without assuming the linearity or monotonicity of the activation …

Multiple and complete stability of recurrent neural networks with sinusoidal activation function

P Liu, J Wang, Z Guo - IEEE Transactions on Neural Networks …, 2020 - ieeexplore.ieee.org
This article presents new theoretical results on multistability and complete stability of
recurrent neural networks with a sinusoidal activation function. Sufficient criteria are …

Multistability analysis of competitive neural networks with Gaussian-wavelet-type activation functions and unbounded time-varying delays

X Nie, J Liang, J Cao - Applied Mathematics and Computation, 2019 - Elsevier
This paper investigates the coexistence and local stability of multiple equilibrium points for
competitive neural networks, where the Gaussian-wavelet-type activation functions are …

Multistability of memristive Cohen–Grossberg neural networks with non-monotonic piecewise linear activation functions and time-varying delays

X Nie, WX Zheng, J Cao - Neural Networks, 2015 - Elsevier
The problem of coexistence and dynamical behaviors of multiple equilibrium points is
addressed for a class of memristive Cohen–Grossberg neural networks with non-monotonic …

Multistability and instability of neural networks with discontinuous nonmonotonic piecewise linear activation functions

X Nie, WX Zheng - IEEE Transactions on Neural Networks and …, 2015 - ieeexplore.ieee.org
In this paper, we discuss the coexistence and dynamical behaviors of multiple equilibrium
points for recurrent neural networks with a class of discontinuous nonmonotonic piecewise …

Multiple μ-stability of neural networks with unbounded time-varying delays

L Wang, T Chen - Neural Networks, 2014 - Elsevier
In this paper, we are concerned with a class of recurrent neural networks with unbounded
time-varying delays. Based on the geometrical configuration of activation functions, the …

Multistability of almost periodic solution for memristive Cohen-Grossberg neural networks with mixed delays

S Qin, Q Ma, J Feng, C Xu - IEEE Transactions on Neural …, 2019 - ieeexplore.ieee.org
This paper presents the multistability analysis of almost periodic state solutions for
memristive Cohen-Grossberg neural networks (MCGNNs) with both distributed delay and …