Convergence Results for Invariant Curve Algorithms

DOI10.2307/2008769zbMath0701.65057OpenAlexW4250997609MaRDI QIDQ3479472

M. van Veldhuizen

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/2008769

zbMATH Keywords

convergenceinvariant curveNumerical examplesattracting algorithm

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Stability and convergence of numerical methods for ordinary differential equations (65L20)

Related Items (1)

On the Computation of Finite Invariant Sets of Mappings

Uses Software

• PITCON

Cites Work

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• Numerical computation of invariant circles of maps
• On the numerical approximation of the rotation number
• Bifurcations from an invariant circle for two-parameter families of maps of the plane: a computer-assisted study
• Analyse numérique du comportement d'une solution presque périodique d'une équation différentielle périodique par une méthode des sections
• Small periodic perturbations of an autonomous system with a stable orbit
• A New Algorithm for the Numerical Approximation of an Invariant Curve
• Existence theorem of an invariant torus of solutions to a periodic differential system
• On a problem of forced nonlinear oscillations. numerical example of bifurcation into an invariant torus

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