Quasi-periodic response solution to scalar state-dependent delay differential equation with degenerate equilibrium
DOI10.1007/S12346-024-01104-XMaRDI QIDQ6587036
Yongli Song, Xiaolong He, Feng Jin
Publication date: 13 August 2024
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nonautonomous smooth dynamical systems (37C60) Functional-differential equations with state-dependent arguments (34K43)
Cites Work
- Title not available (Why is that?)
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- The parameterization method for invariant manifolds. From rigorous results to effective computations
- Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case.
- Oscillator synchronisation under arbitrary quasi-periodic forcing
- Quasi-periodic solutions for perturbed autonomous delay differential equations
- Analytic solutions for a class of differential equations with delays depending on state
- Construction of quasi-periodic solutions of delay differential equations via KAM techniques
- Periodic solutions of analytic functional differential equations are analytic
- Introduction to functional differential equations
- The solution manifold and \(C^{1}\)-smoothness for differential equations with state-dependent delay.
- Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall
- Regularity of the composition operator in spaces of Hölder functions
- 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
- Delay equations. Functional-, complex-, and nonlinear analysis
- Bifurcation theory of functional differential equations
- Solution manifolds which are almost graphs
- Response solutions in degenerate oscillators under degenerate perturbations
- Parameterization of unstable manifolds for DDEs: formal series solutions and validated error bounds
- Construction of quasi-periodic solutions for delayed perturbation differential equations
- Asymptotic homogenization for delay-differential equations and a question of analyticity
- Intricate structure of the analyticity set for solutions of a class of integral equations
- Quasi-periodic solutions for differential equations with an elliptic-type degenerate equilibrium point under small perturbations
- Stability of periodic solutions of state-dependent delay-differential 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
- Response solutions of 2-dimensional degenerate systems under quasi-periodic perturbations
- A tutorial on KAM theory.
- Analyticity and Nonanalyticity of Solutions of Delay-Differential Equations
- Reducibility for a class of nonlinear quasi-periodic differential equations with degenerate equilibrium point under small perturbation
- Estimates of Periods and Global Continua of Periodic Solutions for State-Dependent Delay 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
- Response solutions and quasi-periodic degenerate bifurcations for quasi-periodically forced systems
- KAM Theory for Quasi-periodic Equilibria in One-Dimensional Quasi-periodic Media
- 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
- Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W Si and J Si and extensions
- Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane
- Resonance Phenomena in a Scalar Delay Differential Equation with Two State-Dependent Delays
- Persistence of lower dimensional degenerate invariant tori with prescribed frequencies in Hamiltonian systems with small parameter
- Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps
- Simultaneous conjugation of commuting foliation preserving torus maps
- Response solutions of a class of degenerate quasi-periodic systems with a small parameter
- Solution manifolds of differential systems with discrete stated-dependent delays are almost graphs
- 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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