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Zbl 1080.34054
Jiang, Weihua; Wei, Junjie
Bifurcation analysis in a limit cycle oscillator with delayed feedback.
(English)
[J] Chaos Solitons Fractals 23, No. 3, 817-831 (2005). ISSN 0960-0779

The paper classifies the location and criticality of the Hopf bifurcations, depending on parameters, in the the limit cycle oscillator with delayed feedback $\dot z(t)-(a+i\omega-\vert z(t)\vert ^2)z(t)=-k_1z(t-\tau)-k_2z^2(t-\tau)$, where $z$ is complex.
[Jan Sieber (Bristol)]
MSC 2000:
*34K18 Bifurcation theory of functional differential equations
34K20 Stability theory of functional-differential equations

Keywords: Hopf bifurcation; delay-differential equation

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