A Hopf's bifurcation theorem for nonsimple eigenvalues

DOI10.1016/0196-8858(80)90017-2zbMath0451.34039OpenAlexW1964869828MaRDI QIDQ1147880

Max Ashkenazi, Shui-Nee Chow

Publication date: 1980

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0196-8858(80)90017-2

zbMATH Keywords

bifurcation of periodic orbits

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ordinary differential operators (34L99)

Related Items (3)

Classification and unfoldings of \(1:2\) resonant Hopf bifurcation ⋮ On bifurcation into nonresonant quasi-periodic motions ⋮ Dynamic behaviour of an autonomous system with three pairs of pure imaginary eigenvalues

Cites Work

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• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Bifurcations under nongeneric conditions
• Some global results for nonlinear eigenvalue problems
• Bifurcation from simple eigenvalues
• Global Hopf bifurcation from a multiple eigenvalue

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