Generalized hopf bifurcation and h-asymptotic stability

DOI10.1016/0362-546X(80)90019-XzbMath0449.34029MaRDI QIDQ3895846

Luigi Salvadori, Stephen R. Bernfeld

Publication date: 1980

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Hopf bifurcationtopological degreeLiapunov-Schmidt methodequilibrium under perturbations

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25)

Related Items (9)

Hopf bifurcation via the Poincaré procedure in delay-differential equations with two delays ⋮ BIFURCATION THEORY OF FUNCTIONAL DIFFERENTIAL EQUATIONS: A SURVEY ⋮ Quasi-invariant manifolds, stability, and generalized Hopf bifurcation ⋮ Some results on weak convergence of jump Markov processes and their stability properties ⋮ A Maple program for computing a terms of a center manifold, and element of bifurcations for a class of retarded functional differential equations with Hopf singularity ⋮ Periodic Solutions for a Class of Functional Differential Equations with State-Dependent Delay Close to Zero ⋮ Periodic solutions for retarded differential systems close to ordinary ones ⋮ Linear stabilization of nonlinear cascade systems ⋮ Bifurcations, symmetries and the notion of fixed subspace

Cites Work

• Liapunov direct method in approaching bifurcation problems
• 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
• Unfoldings of certain singularities of vectorfields: Generalized Hopf bifurcations
• Attractivity and Hopf bifurcation
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