Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays

DOI10.1016/J.CAMWA.2007.01.005zbMath1121.68097OpenAlexW2041564163MaRDI QIDQ5919892

Fu Xing Zhang, Bingwen Liu, Li-Hong Huang

Publication date: 16 July 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.01.005

zbMATH Keywords

exponential stabilityperiodic solutionCohen-Grossberg neural networkscoincidence degree theorybounded and unbounded delays

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05)

Related Items (4)

Global exponential stability of nonautonomous neural network models with unbounded delays ⋮ Existence and global uniform asymptotic stability of pseudo almost periodic solutions for Cohen-Grossberg neural networks with discrete and distributed delays ⋮ Existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays ⋮ The numerical simulation of periodic solutions for a predator-prey system

Uses Software

• dde23

Cites Work

• Unnamed Item
• Unnamed Item
• Criteria for exponential stability of Cohen-Grossberg neural networks
• Existence and global exponential stability of periodic solution for Cohen-Grossberg neural networks with delays
• Ordinary differential equations with nonlinear boundary conditions
• Delay-independent stability analysis of Cohen-Grossberg neural networks
• Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays.
• Harmless delays in Cohen-Grossberg neural networks
• Stability of Cohen--Grossberg neural networks with distributed delays
• Global stability of cellular neural networks with constant and variable delays
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Existence and stability of periodic solutions for Cohen--Grossberg neural networks with multiple delays
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Solving DDEs in Matlab

This page was built for publication: Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays