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On certain generalizations of the Hopf bifurcation

✍ Scribed by L. Aguirre; J. H. Arredondo; R. López; P. Seibert

Publisher: Springer
Year: 2006
Tongue: English
Weight: 296 KB
Volume: 186
Category: Article
ISSN: 0373-3114
DOI: 10.1007/s10231-006-0016-z

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## Abstract A simple generalization of the Hopf Bifurcation Theorem for scalar higher order ordinary differential equations is suggested. We study the degenerate case where several roots of the characteristic polynomial cross the imaginary axis at the same point for some value __λ__~0~ of the param