On perturbations of delay-differential equations with periodic orbits.

DOI10.1016/S0022-0396(02)00063-3zbMath1071.34074OpenAlexW2047056804MaRDI QIDQ1426090

Jack K. Hale, Marion Weedermann

Publication date: 14 March 2004

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-0396(02)00063-3

zbMATH Keywords

periodic solutionsintegral manifoldsperturbations of functional-differential equations

Mathematics Subject Classification ID

Periodic solutions to functional-differential equations (34K13) Invariant manifolds of functional-differential equations (34K19)

Related Items (9)

Normal forms for NFDEs with parameters and application to the lossless transmission line ⋮ Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE ⋮ A SHORT SURVEY ON DELAY DIFFERENTIAL SYSTEMS WITH PERIODIC COEFFICIENTS ⋮ BIFURCATION ANALYSIS OF A NFDE ARISING FROM MULTIPLE-DELAY FEEDBACK CONTROL ⋮ Global Hopf bifurcation analysis of a Nicholson's blowflies equation of neutral type ⋮ A modified Poincaré method for the persistence of periodic orbits and applications ⋮ Hopf bifurcation for neutral functional differential equations ⋮ Self-induced synchronization by large delay ⋮ Unnamed Item

Cites Work

• Dichotomies for linear functional-differential equations
• Geometric theory of semilinear parabolic equations
• Local coordinates around a limit cycle of a functional differential equation with applications
• Integral averaging and bifurcation
• Dichotomies in stability theory
• Introduction to functional differential equations
• Estimates on the strength of exponential dichotomies and application to integral manifolds
• Smoothness of bounded solutions of nonlinear evolution equations
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Stability of functional differential equations of neutral type
• A perturbation theorem for exponential dichotomies
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