Simple bifurcation of coupled advertising oscillators with delay

DOI10.1016/j.aml.2011.05.002zbMath1234.34053OpenAlexW2019028092MaRDI QIDQ654198

Haidong Yin, Huifeng Zheng, Chun-Rui Zhang

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.05.002

zbMATH Keywords

delaybifurcationcoupled advertising oscillator systemsdouble-zero singularity

Mathematics Subject Classification ID

Transformation and reduction of functional-differential equations and systems, normal forms (34K17) 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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Stability switches and bifurcation in a system of four coupled neural networks with multiple time delays ⋮ Codimension-one and -two bifurcation analysis of a two-dimensional coupled logistic map ⋮ Normal form for high-dimensional nonlinear system and its application to a viscoelastic moving belt

Cites Work

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• Bogdanov-Takens singularity in Van der Pol's oscillator with delayed feedback
• A model in a coupled system of simple neural oscillators with delays
• Singularities and groups in bifurcation theory. Volume II
• Hopf bifurcating periodic orbits in a ring of neurons with delays
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Hopf bifurcation in a system of two coupled advertising oscillators
• Zero singularities of codimension two and three in delay differential equations
• Elements of applied bifurcation theory

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