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Generalized form of Hurwitz-Routh criterion and Hopf bifurcation of higher order. (English) Zbl 1006.34041
Summary: The well-known Hurwitz-Routh criterion is generalized to critical cases. The problem of Hopf bifurcation of higher order for zeros of semistable polynomials is also discussed.

34D20 Stability of solutions to ordinary differential equations
34C23 Bifurcation theory for ordinary differential equations
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
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[1] Brauer, F.; Nohel, J.A., ()
[2] Liu, W., Criterion of Hopf bifurcation without using eigenvalues, J. math. anal. appl., 182, 250-256, (1994) · Zbl 0794.34033
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