Periodic solutions for a class of higher-order Cohen-Grossberg type neural networks with delays

DOI10.1016/j.camwa.2007.03.005zbMath1143.34046OpenAlexW2045683205MaRDI QIDQ2469932

Fengli Ren, Cao, Jinde

Publication date: 11 February 2008

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.03.005

zbMATH Keywords

delay\(M\)-matrixglobal attractivityLyapunov functionalcoincidence degreehigher-order Cohen-Grossberg neural networkperiodic higher-order Cohen-Grossberg neural network

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Neural networks for/in biological studies, artificial life and related topics (92B20) Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (13)

Impact of leakage delay on bifurcation in high-order fractional BAM neural networks ⋮ Dynamical analysis for high-order delayed Hopfield neural networks with impulses ⋮ Dynamic analysis of periodic solution for high-order discrete-time Cohen-Grossberg neural networks with time delays ⋮ Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays ⋮ Existence and global uniform asymptotic stability of pseudo almost periodic solutions for Cohen-Grossberg neural networks with discrete and distributed delays ⋮ Periodic solution to BAM-type Cohen-Grossberg neural network with time-varying delays ⋮ Exponential stability analysis of Cohen-Grossberg neural networks with time-varying delays ⋮ Existence and exponential stability of periodic solution for a class of generalized neural networks with arbitrary delays ⋮ Comment on ``Existence and global exponential stability of periodic solution for delayed high-order Hopfield-type neural networks ⋮ Asymptotical mean square stability of Cohen-Grossberg neural networks with random delay ⋮ The numerical simulation of periodic solutions for a predator-prey system ⋮ Periodic solutions of high-order Cohen-Grossberg neural networks with distributed delays ⋮ Existence and global asymptotic stability of periodic solutions for Hopfield neural networks with discontinuous activations

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