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Bifurcation analysis in a limit cycle oscillator with delayed feedback. (English) Zbl 1080.34054
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.

##### MSC:
 34K18 Bifurcation theory of functional differential equations 34K20 Stability theory of functional-differential equations
##### Keywords:
Hopf bifurcation; delay-differential equation
Full Text:
##### References:
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