On the numerical approximation of the rotation number
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Publication:1097643
DOI10.1016/0377-0427(88)90268-3zbMath0635.65054OpenAlexW2050436969MaRDI QIDQ1097643
Publication date: 1988
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0377-0427(88)90268-3
Numerical computation of solutions to systems of equations (65H10) Degree, winding number (55M25) Algorithms for approximation of functions (65D15)
Related Items
The numerical approximation of the rotation number of planar maps ⋮ Rigorous enclosures of rotation numbers by interval methods ⋮ A numerical approximation of the rotation number ⋮ Delayed feedback control and phase reduction of unstable quasi-periodic orbits ⋮ Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms ⋮ Numerical determination of the continued fraction expansion of the rotation number ⋮ On the numerical computation of Diophantine rotation numbers of analytic circle maps ⋮ Convergence Results for Invariant Curve Algorithms ⋮ An algorithm to compute rotation intervals of circle maps ⋮ Numerical computation of rotation numbers of quasi-periodic planar curves ⋮ Stabilization Control of Quasi-periodic Orbits
Cites Work
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- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Numerical computation of invariant circles of maps
- 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
- On Shape Preserving Quadratic Spline Interpolation
- A New Algorithm for the Numerical Approximation of an Invariant Curve
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