Existence and exponential stability of periodic solutions for a class of Cohen-Grossberg neural networks with bounded and unbounded delays

DOI10.1016/j.nonrwa.2006.03.005zbMath1140.34030OpenAlexW2080855845MaRDI QIDQ5920449

Yixuan Wang, S. Z. Zhou, Fei Long

Publication date: 25 February 2008

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2006.03.005

zbMATH Keywords

Periodic solutionExponential stabilityCohen-Grossberg neural networksCoincidence degree theoryBounded and unbounded delays

Mathematics Subject Classification ID

Asymptotic theory of functional-differential equations (34K25) Stability theory of functional-differential equations (34K20) Periodic solutions to functional-differential equations (34K13)

Related Items (12)

Existence and global asymptotic stability of positive periodic solution of delayed Cohen-Grossberg neural networks ⋮ Global exponential stability of nonautonomous neural network models with unbounded delays ⋮ Existence and global uniform asymptotic stability of pseudo almost periodic solutions for Cohen-Grossberg neural networks with discrete and distributed delays ⋮ Existence and stability of almost periodic solution for Cohen-Grossberg neural networks with variable coefficients ⋮ Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients ⋮ Dynamical analysis of Cohen-Grossberg neural networks with time-delays and impulses ⋮ Anti-periodic solutions for a class of Cohen-Grossberg neural networks ⋮ Stability analysis in Lagrange sense for a non-autonomous Cohen-Grossberg neural network with mixed delays ⋮ Robust fixed-time synchronization of discontinuous Cohen–Grossberg neural networks with mixed time delays ⋮ Almost periodic solution of Cohen-Grossberg neural networks with bounded and unbounded delays ⋮ Dynamical analysis of Cohen-Grossberg neural networks with finite and infinite delays ⋮ Stability in Lagrange sense for Cohen-Grossberg neural networks with time-varying delays and finite distributed delays

Uses Software

• dde23

Cites Work

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• Stability of Cohen--Grossberg neural networks with distributed delays
• Global stability of cellular neural networks with constant and variable delays
• Boundedness and stability for Cohen--Grossberg neural network with time-varying delays
• Existence and stability of periodic solutions for Cohen--Grossberg neural networks with multiple delays
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• Solving DDEs in Matlab

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