A New Algorithm for the Numerical Approximation of an Invariant Curve

DOI10.1137/0908077zbMath0657.65098OpenAlexW2065467048MaRDI QIDQ3805808

M. van Veldhuizen

Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908077

zbMATH Keywords

algorithmstabilityrotation numbervan der Pol equationsystem of ordinary differential equationsinvariant manifoldpolygonal approximationdelay logistic equationinvariant curveNumerical examples

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Ordinary differential equations and systems on manifolds (34C40)

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