Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays

A Wu, Z Zeng - Neural networks, 2012 - Elsevier
The paper introduces a general class of memristor-based recurrent neural networks with
time-varying delays. Conditions on the nondivergence and global attractivity are established …

Stability and bifurcation of delay-coupled genetic regulatory networks with hub structure

D Yue, ZH Guan, J Li, F Liu, JW Xiao, G Ling - Journal of the Franklin …, 2019 - Elsevier
In this paper, we study the local stability and bifurcation of a delay-coupled genetic
regulatory networks consisting of two modes with the hub structure. By analyzing the …

Multistability of second-order competitive neural networks with nondecreasing saturated activation functions

X Nie, J Cao - IEEE Transactions on Neural Networks, 2011 - ieeexplore.ieee.org
In this paper, second-order interactions are introduced into competitive neural networks
(NNs) and the multistability is discussed for second-order competitive NNs (SOCNNs) with …

On sampled-data control for stabilization of genetic regulatory networks with leakage delays

L Li, Y Yang - Neurocomputing, 2015 - Elsevier
The leakage delay has large impacts on the dynamical behavior of genetic regulatory
networks (GRNs) and can bring tendency to destabilize systems. This paper is concerned …

Limit set dichotomy and multistability for a class of cooperative neural networks with delays

M Di Marco, M Forti, M Grazzini… - IEEE Transactions on …, 2012 - ieeexplore.ieee.org
Recent papers have pointed out the interest to study convergence in the presence of
multiple equilibrium points (EPs)(multistability) for neural networks (NNs) with nonsymmetric …

Multistability and multiperiodicity of high-order competitive neural networks with a general class of activation functions

X Nie, Z Huang - Neurocomputing, 2012 - Elsevier
In this paper, high-order synaptic connectivity is introduced into competitive neural networks
and the multistability and multiperiodicity issues are discussed for high-order competitive …

Stability analysis for switched genetic regulatory networks: an average dwell time approach

Y Yao, J Liang, J Cao - Journal of the Franklin Institute, 2011 - Elsevier
In this correspondence, the problem of exponential stability for switched genetic regulatory
networks (GRNs) with time delays is investigated. The GRNs are composed of N modes and …

Dissipativity-based filtering for switched genetic regulatory networks with stochastic disturbances and time-varying delays

T Yu, J Liu, Q Zeng, L Wu - IEEE/ACM transactions on …, 2019 - ieeexplore.ieee.org
This paper deals with the problem of dissipativity-based filtering for switched genetic
regulatory networks (GRNs) with stochastic perturbation and time-varying delays. By …

Multistability and bifurcation analysis of inhibitory coupled cyclic genetic regulatory networks with delays

G Ling, ZH Guan, B Hu, Q Lai… - IEEE transactions on …, 2017 - ieeexplore.ieee.org
Many biological systems have the conspicuous property to present more than one stable
state and diverse rhythmic behaviors. A closed relationship between these complex dynamic …

Multistability and instability of delayed competitive neural networks with nondecreasing piecewise linear activation functions

X Nie, J Cao, S Fei - Neurocomputing, 2013 - Elsevier
In this paper, we investigate the exact existence and dynamical behaviors of multiple
equilibrium points for delayed competitive neural networks (DCNNs) with a class of …