Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation
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Publication:5003337
DOI10.1137/20M1311430zbMath1482.34193arXiv2005.06084WikidataQ115246906 ScholiaQ115246906MaRDI QIDQ5003337
Jiaqi Yang, Rafael de la Llave, Joan Gimeno
Publication date: 21 July 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.06084
Periodic solutions to functional-differential equations (34K13) Perturbations of functional-differential equations (34K27) Functional-differential equations with state-dependent arguments (34K43)
Related Items (6)
Preservation of adiabatic invariants and geometric numerical algorithm for disturbed nonholonomic systems ⋮ Validated integration of differential equations with state-dependent delay ⋮ Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE ⋮ 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 ⋮ Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane
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