Stability of shunting inhibitory cellular neural networks with unbounded time-varying delays

DOI10.1016/j.aml.2007.05.012zbMath1163.92303OpenAlexW2079216573WikidataQ126246036 ScholiaQ126246036MaRDI QIDQ1027455

Bingwen Liu

Publication date: 29 June 2009

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2007.05.012

zbMATH Keywords

stabilityexistenceequilibrium pointsunbounded time-varying delays

Mathematics Subject Classification ID

Learning and adaptive systems in artificial intelligence (68T05) Neural networks for/in biological studies, artificial life and related topics (92B20) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (8)

Periodic solution for state-dependent impulsive shunting inhibitory CNNs with time-varying delays ⋮ Pseudo almost periodic solutions for shunting inhibitory cellular neural networks with continuously distributed delays ⋮ Anti-periodic solutions for state-dependent impulsive recurrent neural networks with time-varying and continuously distributed 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 ⋮ Periodic solutions for stochastic shunting inhibitory cellular neural networks with distributed delays ⋮ On the difference equation $y_{n + 1} = \frac{{\alpha + y_n^p }} {{\beta y_{n - 1}^p }} - \frac{{\gamma + y_{n - 1}^p }} {{\beta y_n^p }} $ ⋮ 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

• Global exponential stability of almost periodic solution for a large class of delayed dynamical systems
• 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
• Existence and stability of almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
• Shunting inhibitory cellular neural networks: derivation and stability analysis

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