Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

DOI10.1016/J.MATCOM.2007.08.001zbMath1147.34053OpenAlexW2024978970MaRDI QIDQ934015

Mingshan Cai, Hong Zhang, Zhao-hui Yuan

Publication date: 29 July 2008

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2007.08.001

zbMATH Keywords

exponential stabilityalmost periodic solutiontime-varying delaysshunting inhibitory cellular neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Stability theory of functional-differential equations (34K20)

Related Items (9)

Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating \(D\) operator ⋮ Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays ⋮ Almost periodic solutions for SICNNs with time-varying delays in the leakage terms ⋮ Weighted pseudo-almost periodic solutions for shunting inhibitory cellular neural networks on time scales ⋮ Anti-periodic solutions for shunting inhibitory cellular neural networks with time-varying delays ⋮ Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying and continuously distributed delays ⋮ Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay ⋮ Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays ⋮ On anti-periodic solutions of a shunting inhibitory cellular neural networks with distributed delays

Cites Work

• Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
• Almost periodic differential equations
• Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
• On the positive almost periodic solutions of a class of Lotka-Volterra type systems with delays
• Nonautonomous Lotka-Volterra systems with delays
• Almost periodic solution of shunting inhibitory CNNs with delays
• The existence of positive almost periodic type solutions for some neutral nonlinear integral equation
• Existence and attractivity of almost periodic solution for recurrent neural networks with unbounded delays and variable coefficients
• Global exponential stability of periodic solution for shunting inhibitory CNNs with delays
• Almost periodic attractor of delayed neural networks with variable coefficients
• Shunting inhibitory cellular neural networks: derivation and stability analysis

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