Construction of quasi-periodic solutions of delay differential equations via KAM techniques

From MaRDI portal
Publication:1028284

DOI10.1016/j.jde.2009.03.009zbMath1184.34076OpenAlexW1974358346MaRDI QIDQ1028284

Rafael de la Llave, Xue-Mei Li

Publication date: 30 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.03.009




Related Items

On the persistence of quasi-periodic invariant tori for double Hopf bifurcation of vector fieldsConstruction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case.Existence of quasi-periodic solutions of fast excited van der Pol-Mathieu-Duffing equationExistence of quasi-periodic solutions of the real pendulum equationValidated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbitsParameterization method for unstable manifolds of delay differential equationsQuasi-periodic solutions for the two-dimensional systems with an elliptic-type degenerate equilibrium point under small perturbationsPersistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDEQuasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbationsConstruction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic caseQuasi-periodic Hamiltonian pitchfork bifurcation in a phenomenological model with 3 degrees of freedomQuasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbationEfficient representation of invariant manifolds of periodic orbits in the CRTBPHomoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov familiesConstruction of quasi-periodic solutions for delayed perturbation differential equationsQuasi-periodic solutions for perturbed autonomous delay differential equationsParameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential EquationMelnikov-type theorem for time reversible system



Cites Work