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On the Andronov–Hopf Bifurcation Theorem

✍ Scribed by A. F. Izmailov


Book ID
110386847
Publisher
Springer
Year
2001
Tongue
English
Weight
139 KB
Volume
37
Category
Article
ISSN
0012-2661

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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