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

DOI10.1016/j.cnsns.2009.06.026zbMath1221.37182OpenAlexW1988923989MaRDI QIDQ718277

Jianying Shao, Qiyi Fan

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.06.026

zbMATH Keywords

exponential stabilityalmost periodic solutiontime-varying delaysshunting inhibitory cellular neural networkscontinuously distributed delays

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Global stability of solutions to ordinary differential equations (34D23)

Related Items (12)

Global exponential stability of almost periodic solutions for SICNNs with continuously distributed leakage delays ⋮ Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays ⋮ Stability on positive pseudo almost periodic solutions of HPDCNNs incorporating \(D\) operator ⋮ On almost automorphic solutions for cellular neural networks with time-varying delays in leakage terms on time scales1 ⋮ Global exponential stability of pseudo almost periodic solutions for SICNNs with time-varying leakage delays ⋮ EXISTENCE AND GLOBAL STABILITY OF ALMOST AUTOMORPHIC SOLUTIONS FOR SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS WITH TIME-VARYING DELAYS IN LEAKAGE TERMS ON TIME SCALES ⋮ Almost periodic solutions for SICNNs with time-varying delays in the leakage terms ⋮ On Antiperiodic Solutions for Cohen-Grossberg Shunting Inhibitory Neural Networks with Time-Varying Delays and Impulses ⋮ Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays ⋮ Oscillation and stability of multidirectional associative memory neural network with mixed delays ⋮ On anti-periodic solutions of a shunting inhibitory cellular neural networks with distributed delays ⋮ Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term

Cites Work

• Existence of positive periodic solutions for functional differential equations with impulse effects on time scales
• Positive solutions for nonlinear singular third order boundary value problem
• Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
• Positive almost periodic solutions for recurrent neural networks
• Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• 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
• On positivity of singular regular linear time-delay time-invariant systems subject to multiple internal and external incommensurate point delays
• 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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