Stability and Hopf bifurcation of a delayed reaction-diffusion neural network

DOI10.1002/mma.1454zbMath1228.35041OpenAlexW2050052343MaRDI QIDQ3087915

Qintao Gan, Rui Xu

Publication date: 17 August 2011

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1454

zbMATH Keywords

stabilitytime delayneural networkHopf bifurcationreaction-diffusion

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Neural networks for/in biological studies, artificial life and related topics (92B20) Bifurcations in context of PDEs (35B32)

Related Items (7)

Spatiotemporal dynamics on a class of \((n+1)\)-dimensional reaction-diffusion neural networks with discrete delays and a conical structure ⋮ Adaptive synchronization of Cohen-Grossberg neural networks with unknown parameters and mixed time-varying delays ⋮ Stability and bifurcation analysis for a class of generalized reaction-diffusion neural networks with time delay ⋮ Exponential stability of coupled systems on networks with mixed delays and reaction-diffusion terms ⋮ Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion ⋮ A new method for exponential stability of coupled reaction-diffusion systems with mixed delays: combining Razumikhin method with graph theory ⋮ Bifurcations in a diffusive predator–prey model with predator saturation and competition response

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