Critical circle maps near bifurcation
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Publication:1918061
DOI10.1007/BF02099548zbMath0857.58034arXivmath/9201283OpenAlexW2593277674MaRDI QIDQ1918061
Jacek Graczyk, Grzegorz Świątek
Publication date: 10 March 1997
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9201283
Related Items (12)
A canonical thickening of ℚ and the entropy ofα-continued fraction transformations ⋮ Rigidity of smooth critical circle maps ⋮ Dynamics on the Circle ⋮ Differentiable circle maps with a flat interval ⋮ On Hausdorff dimension of unimodal attractors ⋮ A phase transition for circle maps and Cherry flows ⋮ Differentiability at the tip of Arnold tongues for Diophantine rotations: numerical studies and renormalization group explanations ⋮ Rigidity of critical circle mappings II ⋮ Rigidity of critical circle maps ⋮ Torus maps and the problem of a one-dimensional optical resonator with a quasiperiodically moving wall ⋮ Dynamics of multicritical circle maps ⋮ On critical circle homeomorphisms
Cites Work
- Limit sets of S-unimodal maps with zero entropy
- The scaling of Arnol'd tongues for differentiable homeomorphisms of the circle
- Rational rotation numbers for maps of the circle
- Map dependence of the fractal dimension deduced from iterations of circle maps
- Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps
- Differentiable circle maps with a flat interval
- On the Period-Adding Phenomena at the Frequency Locking in a One-Dimensional Mapping
- On the Hausdorff dimension of some fractal sets
- Harmonic scaling for smooth families of diffeomorphisms of the circle
- One-dimensional maps and Poincare metric
- Universal estimates for critical circle mappings
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