Numerical Computation of Periodic Orbits and Isochrons for State-Dependent Delay Perturbation of an ODE in the Plane

DOI10.1137/20M1336965zbMath1487.37094arXiv2005.06086OpenAlexW3197360857MaRDI QIDQ5164890

Joan Gimeno, Jiaqi Yang, Rafael de la Llave

Publication date: 15 November 2021

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.06086

zbMATH Keywords

perturbation theorystate-dependent delayparameterization method

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Periodic orbits of vector fields and flows (37C27) Simulation of dynamical systems (37M05) Computational methods for invariant manifolds of dynamical systems (37M21)

Related Items (2)

Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE ⋮ Quasi-periodic solutions for differential equations with an elliptic equilibrium under delayed perturbation

Uses Software

• FFTW
• NFFT
• NFFT3
• FINUFFT

Cites Work

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