Hopf bifurcation for functional equations

DOI10.1016/0022-247X(80)90113-4zbMath0433.34053MaRDI QIDQ1139186

Jack K. Hale, Jose Carlos F. De Oliveira

Publication date: 1980

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

zbMATH Keywords

functional equationsHopf bifurcation theorem

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (12)

Cycles in nonlinear age-structured models. I. Renewal equations ⋮ Hopf bifurcation for functional and functional differential equations with infinite delay ⋮ Numerical stability analysis of steady state solutions of integral equations with distributed delays ⋮ Prelude to Hopf bifurcation in an epidemic model: Analysis of a characteristic equation associated with a nonlinear Volterra integral equation ⋮ Pre‐procreative ages in population stability and cyclicity ⋮ The cohort feedback model with symmetric net maternity ⋮ Hopf bifurcation with constraints ⋮ \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations ⋮ Global continua of periodic solutions to some difference-differential equations of neutral type ⋮ Hopf Bifurcation for functional differential equations ⋮ Invariant manifolds for Volterra integral equations of convolution type ⋮ Hopf bifurcation calculations for functional differential equations

Cites Work

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• On the zeros of exponential polynomials
• Linear autonomous neutral functional differential equations
• The generic \(G_1\)-property for a class of NFDE's
• Some equations modelling growth processes and gonorrhea epidemics
• A Theorem on Absolutely Convergent Trigonometrical Series

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