Zero-Hopf singularity for general delayed differential equations

DOI10.1007/S11071-013-1055-9zbMath1281.34040OpenAlexW2095815067MaRDI QIDQ2436155

Xiaoqin P. Wu, Liancheng Wang

Publication date: 21 February 2014

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-013-1055-9

zbMATH Keywords

normal formFitzhugh-Nagumo modelzero-Hopf singularity

Mathematics Subject Classification ID

Feedback control (93B52) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Complex behavior and chaotic systems of ordinary differential equations (34C28)

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Cites Work

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• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Homoclinic orbits and Hopf bifurcations in delay differential systems with T-B singularity
• Multi-parameter bifurcations of the Kaldor-Kalecki model of business cycles with delay
• Zero singularities of codimension two and three in delay differential equations
• Elements of applied bifurcation theory

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