Existence of almost periodic solutions for SICNNs with time-varying delays

DOI10.1016/j.physleta.2008.06.042zbMath1223.34059OpenAlexW1988623027MaRDI QIDQ641264

Jin Liang, Ti-Jun Xiao, Hui-Sheng Ding

Publication date: 21 October 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2008.06.042

zbMATH Keywords

stabilityalmost periodictime-varying delaysshunting inhibitory cellular neural networks

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Periodic solutions to functional-differential equations (34K13) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (11)

Impulsive SICNNs with chaotic postsynaptic currents ⋮ Weighted pseudo almost periodic solutions of second-order neutral-delay differential equations with piecewise constant argument ⋮ A shunting inhibitory cellular neural network with continuously distributed delays of neutral type ⋮ Stability analysis for periodic solutions of fuzzy shunting inhibitory CNNs with delays ⋮ A new approach for positive almost periodic solutions to a class of Nicholson's blowflies model ⋮ Existence and global exponential stability of almost periodic solutions for SICNNs with nonlinear behaved functions and mixed delays ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activaty functions ⋮ Shunting inhibitory cellular neural networks with chaotic external inputs ⋮ Existence of positive almost periodic solutions to a class of hematopoiesis model ⋮ New results on stability of periodic solution for CNNs with proportional delays and $D$ operator ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks

Cites Work

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• Almost periodic differential equations
• Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
• Convergence dynamics of delayed Hopfield-type neural networks under almost periodic stimuli
• Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• Almost periodic solutions for impulsive neural networks with delay
• Shunting inhibitory cellular neural networks: derivation and stability analysis

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