Existence and exponential stability of periodic solution of high-order Hopfield neural network with delays on time scales

DOI10.1155/2009/573534zbMath1187.34129OpenAlexW2010770303WikidataQ58647500 ScholiaQ58647500MaRDI QIDQ1040138

Ping Liu, Lili Zhao, Li Yong Kun

Publication date: 23 November 2009

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232937

zbMATH Keywords

periodic solutionsdelayexponential stabilityHopfield neural network

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13) Dynamic equations on time scales or measure chains (34N05)

Related Items (9)

Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales ⋮ Nabla inequalities and permanence for a logistic integrodifferential equation on time scales ⋮ Dynamic inequalities on time scales with applications in permanence of predator-prey system ⋮ Almost periodic solutions of shunting inhibitory cellular neural networks on time scales ⋮ Existence and global exponential stability of equilibrium solution to reaction-diffusion recurrent neural networks on time scales ⋮ Global exponential stability of antiperiodic solution for impulsive high-order Hopfield neural networks ⋮ Global exponential stability of weighted pseudo-almost periodic solutions of neutral type high-order Hopfield neural networks with distributed delays ⋮ Existence and exponential stability of anti-periodic solutions of high-order Hopfield neural networks with delays on time scales ⋮ Anti-periodic solutions to impulsive shunting inhibitory cellular neural networks with distributed delays on time scales

Cites Work

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• Existence of periodic solutions in predator-prey and competition dynamic systems
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• New convergence behavior of high-order Hopfield neural networks with time-varying coefficients
• Global stability of stochastic high-order neural networks with discrete and distributed delays
• Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with time-varying delays
• Global exponential stability of high order Hopfield type neural networks

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