The integral-averaging bifurcation method and the general one-delay equation

DOI10.1016/0022-247X(80)90158-4zbMath0447.34042MaRDI QIDQ1146306

Julio Ruiz Claeyssen

Publication date: 1980

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

zbMATH Keywords

Hopf bifurcationretarded differential equationintegral-averaging method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29)

Related Items (10)

Order reduction of retarded nonlinear systems - the method of multiple scales versus center-manifold reduction ⋮ Hopf bifurcation for functional and functional differential equations with infinite delay ⋮ Numerical stability analysis and computation of Hopf bifurcation points for delay differential equations ⋮ A PERTURBATION-INCREMENTAL METHOD FOR DELAY DIFFERENTIAL EQUATIONS ⋮ Existence of subharmonic periodic solutions to a class of second-order non-autonomous neutral functional differential equations ⋮ Multiple stability switches and Hopf bifurcation in a damped harmonic oscillator with delayed feedback ⋮ STEADY-STATE, HOPF AND STEADY-STATE-HOPF BIFURCATIONS IN DELAY DIFFERENTIAL EQUATIONS WITH APPLICATIONS TO A DAMPED HARMONIC OSCILLATOR WITH DELAY FEEDBACK ⋮ \(S^ 1\)-degree and global Hopf bifurcation theory of functional differential equations ⋮ Existence of multiple periodic solutions for a class of second-order delay differential equations ⋮ Hopf bifurcation calculations for functional differential equations

Cites Work

• Theory of functional differential equations. 2nd ed
• Integral averaging and bifurcation
• A counter-example to the admissibility of the \(\gamma\)-filtration on 2- groups
• Behavior near constant solutions of functional differential equations
• Stability in the critical case of purely imaginary roots for neutral functional differential equations
• Hopf Bifurcation and Stability of Periodic Solutions of Differential-difference and Integro-differential Equations

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