Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays

DOI10.1016/j.chaos.2005.09.052zbMath1161.34352OpenAlexW2082179016MaRDI QIDQ2482518

Bingwen Liu, Li-Hong Huang

Publication date: 17 April 2008

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2005.09.052

zbMATH Keywords

delayalmost periodic solutionsshunting 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

On the existence of asymptotically almost periodic solutions for nonlinear systems ⋮ Impulsive SICNNs with chaotic postsynaptic currents ⋮ Global exponential stability for shunting inhibitory CNNs with delays ⋮ Chaotifying delayed recurrent neural networks via impulsive effects ⋮ Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Global exponential stability criterion for uncertain discrete-time cellular neural networks ⋮ Pseudo almost-periodic solution of shunting inhibitory cellular neural networks with delay ⋮ Global stability of almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients ⋮ 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 ⋮ Synchronization of chaotic neural networks with mixed time delays ⋮ On almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients and time-varying delays ⋮ Almost periodic solutions for shunting inhibitory cellular neural networks ⋮ Stability of shunting inhibitory cellular neural networks with unbounded time-varying delays ⋮ Almost periodic solutions for quaternion-valued shunting inhibitory cellular neural networks of neutral type with time delays in the leakage term

Cites Work

• Almost periodic differential equations
• Almost periodic solution of shunting inhibitory cellular neural networks with time-varying delay
• Almost periodic solution of shunting inhibitory CNNs with delays
• Global exponential stability of periodic solution for shunting inhibitory CNNs with delays
• Shunting inhibitory cellular neural networks: derivation and stability analysis