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Bifurcation formulae derived from center manifold theory. (English) Zbl 0435.34034


MSC:

34C30 Manifolds of solutions of ODE (MSC2000)

Citations:

Zbl 0337.34050
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References:

[1] Hsu, I. D.; Kazarinoff, N. D., An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model, J. Math. Anal. Appl., 55, 61-89 (1976) · Zbl 0337.34050
[2] Coddington, E.; Levinson, N., Theory of Ordinary Differential Equations, ((1955), McGraw-Hill: McGraw-Hill New York), 106
[3] Marsden, J.; McCracken, M., The Hopf Bifurcation and Its Applications (1976), Springer-Verlag: Springer-Verlag New Yor · Zbl 0346.58007
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