Global asymptotic stability of periodic solutions for inertial delayed BAM neural networks via novel computing method of degree and inequality techniques

DOI10.1016/j.chaos.2017.09.035zbMath1380.34109OpenAlexW2762803563MaRDI QIDQ1694147

Huaying Liao, Zhengqiu Zhang, Ling Ren, Wenli Peng

Publication date: 1 February 2018

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.09.035

zbMATH Keywords

global asymptotic stabilityexistence of periodic solutionsLyapunov functional methodMawhin's continuationinertial BAM neural networks

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) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (9)

Stabilization of inertial Cohen-Grossberg neural networks with generalized delays: a direct analysis approach ⋮ Finite-time anti-synchronization for delayed inertial neural networks via the fractional and polynomial controllers of time variable ⋮ Periodic solutions of Cohen-Grossberg-type bi-directional associative memory neural networks with neutral delays and impulses ⋮ Existence and exponential stability of anti-periodic solution for fuzzy BAM neural networks with inertial terms and time-varying delays ⋮ Periodic solutions for complex-valued neural networks of neutral type by combining graph theory with coincidence degree theory ⋮ Stability analysis for BAM quaternion-valued inertial neural networks with time delay via nonlinear measure approach ⋮ Finite-time synchronization for fuzzy neutral-type inertial neural networks with time-varying coefficients and proportional delays ⋮ Stability analysis for neutral-type inertial BAM neural networks with time-varying delays ⋮ Polynomial dissipativity of proportional delayed BAM neural networks

Cites Work

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• Dynamics of an inertial two-neuron system with time delay
• Existence and global exponential stability of a periodic solution for a discrete-time interval general BAM neural networks
• Stability criteria for BAM neural networks with leakage delays and probabilistic time-varying delays
• Global exponential stability of BAM neural networks with distributed delays and reaction-diffusion terms
• A novel criterion for global asymptotic stability of BAM neural networks with time delays
• EXISTENCE AND GLOBAL EXPONENTIAL STABILITY OF A PERIODIC SOLUTION TO DISCRETE-TIME COHEN-GROSSBERG BAM NEURAL NETWORKS WITH DELAYS

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