Generic Hopf bifurcation in a class of integro-differential equations

DOI10.1216/jiea/1181075605zbMath0756.45017OpenAlexW2010060524MaRDI QIDQ1188455

Harlan W. Stech

Publication date: 13 August 1992

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075605

zbMATH Keywords

nonlinear perturbationsHopf bifurcationfunctional differential equationsneutral stability curvenormal form equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10)

Related Items (2)

Classification and unfoldings of \(1:2\) resonant Hopf bifurcation ⋮ \(| \Delta I| =1/2\) rule in the standard model

Cites Work

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• On a nonlinear delay equation
• Nongeneric Hopf Bifurcations in Functional-differential Equations
• Nonlinear Oscillations in Epidemic Models
• Indirect Abelian Theorems and a Linear Volterra Equation
• Functional differential equations

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