Linear stability and Hopf bifurcation in a delayed two-coupled oscillator with excitatory-to-inhibitory connection

DOI10.1016/J.NONRWA.2009.05.002zbMath1205.34107OpenAlexW2010888422MaRDI QIDQ974619

Yuzhu Jiang, Shangjiang Guo

Publication date: 3 June 2010

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2009.05.002

zbMATH Keywords

Hopf bifurcationtwo-coupled neural oscillator with delay

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Stability theory of functional-differential equations (34K20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) 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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Cites Work

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• Multiple pulse interactions and averaging in systems of coupled neural oscillators
• Equivariant Hopf bifurcation for neutral functional differential equations
• Symmetric functional differential equations and neural networks with memory
• Hopf bifurcation in the presence of symmetry

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