Hassard, B.; Wan, Y. H. Bifurcation formulae derived from center manifold theory. (English) Zbl 0435.34034 J. Math. Anal. Appl. 63, 297-312 (1978). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 47 Documents MSC: 34C30 Manifolds of solutions of ODE (MSC2000) Keywords:N-dimensional Hopf bifurcation theory; center manifold theorem; Poincare normal form; real canonical form Citations:Zbl 0337.34050 PDFBibTeX XMLCite \textit{B. Hassard} and \textit{Y. H. Wan}, J. Math. Anal. Appl. 63, 297--312 (1978; Zbl 0435.34034) Full Text: DOI 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.