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Complementary pivoting and the Hopf Degree Theorem

✍ Scribed by Michael Prüfer; Hans Willi Siegberg


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
780 KB
Volume
84
Category
Article
ISSN
0022-247X

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Remark on the Hopf Bifurcation Theorem
✍ A. M. Krasnosel'skii; D. I. Rachinskii 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 164 KB

## 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