Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation
DOI10.1016/j.jde.2023.10.052OpenAlexW4388549985MaRDI QIDQ6140133
Publication date: 19 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.10.052
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Periodic and quasi-periodic flows and diffeomorphisms (37C55) Invariant manifolds of functional-differential equations (34K19) Perturbations of functional-differential equations (34K27) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Cites Work
- Unnamed Item
- Unnamed Item
- Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case.
- Energy supercritical nonlinear Schrödinger equations: quasiperiodic solutions
- Quasi-periodic solutions of the Lotka-Volterra competition systems with quasi-periodic perturbations
- Quasi-periodic solutions for perturbed autonomous delay differential equations
- Positive quasi-periodic solutions to Lotka-Volterra system
- Construction of quasi-periodic solutions of delay differential equations via KAM techniques
- On the reducibility of linear differential equations with quasiperiodic coefficients
- Theory of functional differential equations. 2nd ed
- Quasi-periodic solutions of Hamiltonian perturbations of 2D linear Schrödinger equations
- Perturbations of lower dimensional tori for Hamiltonian systems
- On Melnikov's persistency problem
- A note on the reducibility of linear differential equations with quasiperiodic coefficients
- Quasiperiodic solutions of differential-difference equations on a torus
- Anderson localization for Schrödinger operators on \(\mathbb{Z}^2\)with quasi-periodic potential
- Parameterization method for unstable manifolds of delay differential equations
- Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case
- Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential
- A multi-scale analysis proof of the power-law localization for random operators on \(\mathbb{Z}^d\)
- Almost-periodic response solutions for a forced quasi-linear Airy equation
- Melnikov-type theorem for time reversible system
- Parameterization of unstable manifolds for DDEs: formal series solutions and validated error bounds
- Space quasi-periodic standing waves for nonlinear Schrödinger equations
- Construction of quasi-periodic solutions for delayed perturbation differential equations
- Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
- On the existence of invariant tori in non-conservative dynamical systems with degeneracy and finite differentiability
- Anderson localization for quasi-periodic lattice Schrödinger operators on \(\mathbb Z^d\), \(d\) arbitrary
- Quasi-periodic solutions of nonlinear random Schrödinger equations
- The parameterization method for invariant manifolds. III: Overview and applications
- Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE
- Quantitative inductive estimates for Green's functions of non-self-adjoint matrices
- Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations
- Newton's method and periodic solutions of nonlinear wave equations
- The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces
- The parameterization method for invariant manifolds II: regularity with respect to parameters
- Green's Function Estimates for Lattice Schrodinger Operators and Applications. (AM-158)
- On Quasi-Periodic Perturbations of Elliptic Equilibrium Points
- Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation
- Expansions in the delay of quasi-periodic solutions for state dependent delay equations
- Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane
- KAM Theory for Partial Differential Equations
- Semi-algebraic sets method in PDE and mathematical physics
- Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps
- Simultaneous conjugation of commuting foliation preserving torus maps
This page was built for publication: Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation