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Criterion of Hopf bifurcations without using eigenvalues. (English) Zbl 0794.34033

Summary: This paper presents a criterion for a class of Hopf bifurcations using the properties of coefficients of characteristic equations instead of those of eigenvalues. It is related to the Routh-Hurwitz criterion and is convenient in many applications.

MSC:

34C23 Bifurcation theory for ordinary differential equations
34D20 Stability of solutions to ordinary differential equations
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