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Zbl 0794.34033
Liu, Wei-min
Criterion of Hopf bifurcations without using eigenvalues. (English)
[J] J. Math. Anal. Appl. 182, No.1, 250-256 (1994). ISSN 0022-247X

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 2000:
*34C23 Bifurcation (periodic solutions)
34D20 Lyapunov stability of ODE

Keywords: Hopf bifurcations; characteristic equations; Routh-Hurwitz criterion

Cited in: Zbl 1172.92020

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