Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator

DOI10.1007/s10884-017-9599-xzbMath1421.65016OpenAlexW2740478422MaRDI QIDQ1692088

Jean-Philippe Lessard, Gábor Kiss

Publication date: 26 January 2018

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

Full work available at URL: https://doi.org/10.1007/s10884-017-9599-x

zbMATH Keywords

delay differential equationscontraction mapping theoremVan der Pol equationrigorous numericsrapid and slow periodic solutions

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Periodic solutions to functional-differential equations (34K13) Numerical methods for functional-differential equations (65L03)

Related Items (8)

Qualitative analysis in a delayed van der Pol oscillator ⋮ Continuation of solutions and studying delay differential equations via rigorous numerics ⋮ Parameterization method for unstable manifolds of delay differential equations ⋮ A rigorous implicit \(C^1\) Chebyshev integrator for delay equations ⋮ Traveling wave solutions for the FPU chain: a constructive approach ⋮ Numerical inclusion of exact periodic solutions for time delay Duffing equation ⋮ Coexistence of infinitely many large, stable, rapidly oscillating periodic solutions in time-delayed Duffing oscillators ⋮ Parameterization Method for State-Dependent Delay Perturbation of an Ordinary Differential Equation

Uses Software

• INTLAB
• TRACE-DDE

Cites Work

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