The numerical approximation of the rotation number of planar maps

DOI10.1016/S0898-1221(97)00023-0zbMath0872.65058OpenAlexW2073575225MaRDI QIDQ1356858

Raffaella Pavani

Publication date: 16 June 1997

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00023-0

zbMATH Keywords

numerical examplesattractorrotation numberplanar mapinvariant curve

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)

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Cites Work

• 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
• Numerical determination of the continued fraction expansion of the rotation number
• Conjugating the Poincaré-map to a rotation
• A numerical approximation of the rotation number
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