A numerical approximation of the rotation number

DOI10.1016/0096-3003(94)00249-5zbMath0840.65066OpenAlexW1991567631MaRDI QIDQ1908244

Raffaella Pavani

Publication date: 30 June 1996

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(94)00249-5

zbMATH Keywords

numerical experimentsbifurcationsperiodic orbitrotation number

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Low-dimensional dynamical systems (37E99)

Related Items (7)

The numerical approximation of the rotation number of planar maps ⋮ Rigorous enclosures of rotation numbers by interval methods ⋮ A fast computation of the best \(k\)-digit rational approximation to a real number ⋮ Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms ⋮ On the numerical computation of Diophantine rotation numbers of analytic circle maps ⋮ Effective bounds for the measure of rotations ⋮ An algorithm to compute rotation intervals of circle maps

Cites Work

• Unnamed Item
• Unnamed Item
• The homogenization of an ordinary differential equation with a chessboard structure
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• 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
• Conjugating the Poincaré-map to a rotation

This page was built for publication: A numerical approximation of the rotation number