Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE
From MaRDI portal
Publication:2676529
DOI10.1016/j.jde.2022.07.033OpenAlexW3134434071MaRDI QIDQ2676529
Joan Gimeno, Jiaqi Yang, Rafael de la Llave
Publication date: 27 September 2022
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2103.05203
singular perturbationsfunctional differential equationssmooth dependence on parameterspersistence of hyperbolic periodic orbits
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Functional-differential equations in abstract spaces (34K30) Applications of operator theory to differential and integral equations (47N20) Periodic solutions to functional-differential equations (34K13) General theory of functional-differential equations (34K05) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Singular perturbations of functional-differential equations (34K26)
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Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs, Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation
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