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The orbit structure of the Hopf bifurcation problem

✍ Scribed by Neil Fenichel


Publisher
Elsevier Science
Year
1975
Tongue
English
Weight
998 KB
Volume
17
Category
Article
ISSN
0022-0396

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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 __Ξ»__~0~ of the param