Approximation on attraction domain of Cohen-Grossberg neural networks

DOI10.1016/j.amc.2011.03.127zbMath1220.65093OpenAlexW2051981084MaRDI QIDQ546053

Zhili Huang, Ji-Gen Peng, De-quan Jin

Publication date: 24 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.03.127

zbMATH Keywords

stabilityLyapunov functionequilibrium pointsnonlinear systemnumerical experimentsattraction domainCohen-Grossberg neural networks

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Related Items (3)

Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion ⋮ Estimating and enlarging the region of attraction of multi-equilibrium points system by state-dependent edge impulses ⋮ Global Lagrange stability for neutral-type Cohen-Grossberg BAM neural networks with mixed time-varying delays

Cites Work

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• Methods for determination and approximation of the domain of attraction
• \(R^{n}_{+}\)-global stability of a Cohen-Grossberg neural network system with nonnegative equilibria
• Absolute stability of global pattern formation and parallel memory storage by competitive neural networks
• A New Approach for Estimating the Attraction Domain for Hopfield-Type Neural Networks
• Global asymptotic stability of delayed Cohen-Grossberg neural networks

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