Bifurcation analysis and spatio-temporal patterns of nonlinear oscillations in a delayed neural network with unidirectional coupling

DOI10.1088/0951-7715/22/5/004zbMath1171.34058OpenAlexW2078089188MaRDI QIDQ3628727

Moses O. Tadé, Tonghua Zhang, Yongli Song

Publication date: 20 May 2009

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/22/5/004

zbMATH Keywords

absolute stability Hopf bifurcation delayed neural network spatio-temporal patterns central manifold theorem

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) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Invariant manifolds of functional-differential equations (34K19)

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