Results 41 to 50 of about 388 (131)

Multistability and Multiperiodicity for a General Class of Delayed Cohen-Grossberg Neural Networks with Discontinuous Activation Functions

open access: yesDiscrete Dynamics in Nature and Society, 2013
A general class of Cohen-Grossberg neural networks with time-varying delays, distributed delays, and discontinuous activation functions is investigated.
Yanke Du, Yanlu Li, Rui Xu
doaj   +1 more source

Attractor and Boundedness of Switched Stochastic Cohen-Grossberg Neural Networks

open access: yesDiscrete Dynamics in Nature and Society, 2016
We address the problem of stochastic attractor and boundedness of a class of switched Cohen-Grossberg neural networks (CGNN) with discrete and infinitely distributed delays.
Chuangxia Huang, Jie Cao, Peng Wang
doaj   +1 more source

Impulsive control of a class of multiple unstable neural networks

open access: yesJournal of Inequalities and Applications, 2021
This paper addresses the issue of stability of a class of multiple unstable Cohen–Grossberg neural networks(CGNNs) under impulsive control. Some novel sufficient conditions are given to make the unstable equilibrium points of the model locally μ-stable ...
Songfang Jia, Yanheng Chen
doaj   +1 more source

Exponential Synchronization of Cohen-Grossberg Neural Networks With Delays

open access: yesIEEE Access, 2023
This article analyzes exponential synchronization for a class of Cohen-Grossberg neural networks with time-varying delays. Firstly, according to the concept of synchronization, a controlled response system is constructed, and the error system is obtained.
Juncao Huang, Xuemei Wu, Zhengwen Tu
doaj   +1 more source

Stability Analysis of Different Quaternion‐Valued Impulsive BAM Neural Networks With Unknown Parameters and Time‐Varying Delays

open access: yesEngineering Reports, Volume 8, Issue 1, January 2026.
This work tackles the unresolved stability problem of heterogeneous quaternion‐valued BAM neural networks plagued by unknown parameters, time‐varying delays, and impulses. By synergizing Lyapunov theory with inequality techniques, we establish rigorous, yet practical, global stability conditions.
Xi Long, Yaqin Li
wiley   +1 more source

Causal disconnectomics of motion perception networks: insights from transcranial magnetic stimulation‐induced BOLD responses

open access: yesThe Journal of Physiology, Volume 604, Issue 1, Page 503-526, 1 January 2026.
Abstract figure legend Differential behavioural and network effects of transcranial magnetic stimulation applied to the early visual areas compared to the motion‐sensitive medio‐temporal cortex. EVA, early visual areas; MT, medio‐temporal cortex; TMS, transcranial magnetic stimulation.
Estelle Raffin   +6 more
wiley   +1 more source

Periodic Solutions to a Ring of Identical Cells With Delay via the Equivariant Degree Method

open access: yesInternational Journal of Differential Equations, Volume 2026, Issue 1, 2026.
We investigate the existence and multiplicity of bifurcating solutions in a Hopfield–Cohen–Grossberg network with n identical components and time delays. Applying the equivariant degree method, we derive sufficient conditions guaranteeing periodic solutions and their multiplicities. Two examples are provided to exemplify the theoretical results.
Shi Yu, Igor Freire
wiley   +1 more source

Updates and future perspectives on neuropsychiatric symptoms in Alzheimer's disease

open access: yesAlzheimer's &Dementia, Volume 21, Issue 3, March 2025.
Abstract Neuropsychiatric symptoms (NPS) are common throughout the Alzheimer's disease (AD) continuum and profoundly affect patients, caregivers, and health‐care systems. This review synthesizes key research presented in the 2022 and 2023 Alzheimer's Association International Society to Advance Alzheimer's Research and Treatment Neuropsychiatric ...
Myuri Ruthirakuhan   +4 more
wiley   +1 more source

A Novel Analysis of Hopf Bifurcation for a Generalized Binary Fractional‐Order Neural Network Involving Mixed Delays

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
This paper provides an extensive binary fractional‐order neural network system with mixed delays consisting of two discrete delays and two distributed delays and emphasizes novel bifurcation methods and theoretical analysis. First, the original system is transformed into a five‐neuron fractional‐order neural network with four delays by introducing ...
Long Li, Yanxia Zhang, Mengxin Chen
wiley   +1 more source

Global Convergence for Cohen-Grossberg Neural Networks with Discontinuous Activation Functions

open access: yesAbstract and Applied Analysis, 2012
Cohen-Grossberg neural networks with discontinuous activation functions is considered. Using the property of M-matrix and a generalized Lyapunov-like approach, the uniqueness is proved for state solutions and corresponding output solutions, and ...
Yanyan Wang, Jianping Zhou
doaj   +1 more source

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