Hopf bifurcation of semilinear evolution equations

DOI10.3792/pjaa.57.199zbMath0521.47030OpenAlexW2072509348MaRDI QIDQ1054987

Tatsuo Itoh

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.199

zbMATH Keywords

stabilityexistencebifurcationsemilinear evolution problems in Banach spaceswithout the Hopf transversability condition

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Equations involving nonlinear operators (general) (47J05) Linear differential equations in abstract spaces (34G10)

Related Items

Differential equations in a Banach space

Cites Work

• Unnamed Item
• Stability and semilinear evolution equations in Hilbert space
• 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
• The bifurcation of one or more closed orbits from an equilibrium point of an autonomous differential system