Hopf bifurcation for ordinary differential equations with a zero eigenvalue

DOI10.1016/0022-247X(80)90123-7zbMath0431.34031MaRDI QIDQ1138139

Stephen L. Hoyle

Publication date: 1980

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationperiodic orbit branches

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear ordinary differential equations and systems (34A34) General theory for ordinary differential equations (34A99)

Related Items (6)

Interaction of periodic and stationary bifurcation from multiple eigenvalues ⋮ Hopf bifurcation at multiple eigenvalues with zero eigenvalue ⋮ Hopf bifurcation at a degenerate stationary pitchfork ⋮ Coincident bifurcation of equilibrium and periodic solutions of evolution equations ⋮ Local solution manifolds for nonlinear equations ⋮ Multiparameter local bifurcation

Cites Work

• Unnamed Item
• Bifurcation of periodic solutions
• 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
• Local solution manifolds for nonlinear equations

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