Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays

DOI10.1016/j.cam.2008.05.042zbMath1168.34042OpenAlexW2075465260MaRDI QIDQ1002200

Zhanji Gui, Jie Zhang

Publication date: 25 February 2009

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.05.042

zbMATH Keywords

impulsesperiodic solutiondelayshigh-order hopfield neural networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (10)

Stationary oscillation for high-order Hopfield neural networks with time delays and impulses ⋮ Asymptotic behavior of Clifford-valued dynamic systems with \(D\)-operator on time scales ⋮ Periodic solution for impulsive cellar neural networks with time-varying delays in the leakage terms ⋮ Anti-periodic solution for impulsive high-order Hopfield neural networks with time-varying delays in the leakage terms ⋮ Global exponential stability of antiperiodic solutions for discrete-time neural networks with mixed delays and impulses ⋮ Existence and stability of antiperiodic solution for a class of generalized neural networks with impulses and arbitrary delays on time scales ⋮ Anti-periodic solution for delayed cellular neural networks with impulsive effects ⋮ Existence and global exponential stability of periodic solution for impulsive Cohen-Grossberg-type BAM neural networks with continuously distributed delays ⋮ Stability analysis of discrete Hopfield neural networks with the nonnegative definite monotone increasing weight function matrix ⋮ Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations

Cites Work

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• Periodic solutions of nonautonomous cellular neural networks with impulses
• High-order absolutely stable neural networks
• Periodic solution and chaotic strange attractor for shunting inhibitory cellular neural networks with impulses
• Exponential stability of the solutions of the initial value problem for systems with an impulse effect
• Structural properties of gradient recurrent high-order neural networks
• Impulsive control for the stabilization and synchronization of Lorenz systems

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