Computation of derivatives of the rotation number for parametric families of circle diffeomorphisms
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Publication:957606
DOI10.1016/j.physd.2008.03.047zbMath1158.37017OpenAlexW2148493717MaRDI QIDQ957606
Alejandro Luque, Jordi Villanueva
Publication date: 28 November 2008
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2008.03.047
Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical aspects of twist maps (37E40) Rotation numbers and vectors (37E45)
Related Items (12)
A numerical method for computing initial conditions of Lagrangian invariant tori using the frequency map ⋮ A numerical investigation of the pinning phenomenon in quasi-periodic Frenkel Kontorova model under an external force ⋮ A new averaging-extrapolation method for quasi-periodic frequency refinement ⋮ Rigorous enclosures of rotation numbers by interval methods ⋮ Quantitative quasiperiodicity ⋮ Combination laws for scaling exponents and relation to the geometry of renormalization operators ⋮ Differentiability at the tip of Arnold tongues for Diophantine rotations: numerical studies and renormalization group explanations ⋮ Numerical computation of the asymptotic size of the rotation domain for the Arnold family ⋮ Effective bounds for the measure of rotations ⋮ Numerical computation of rotation numbers of quasi-periodic planar curves ⋮ Arnold maps with noise: differentiability and non-monotonicity of the rotation number ⋮ Quasi-Periodic Frequency Analysis Using Averaging-Extrapolation Methods
Uses Software
Cites Work
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