Cherry Maps with Different Critical Exponents: Bifurcation of Geometry

DOI10.20537/nd200409zbMath1462.37045arXiv2107.06105OpenAlexW3119404438MaRDI QIDQ5853585

B. Ndawa Tangue

Publication date: 11 March 2021

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.06105

zbMATH Keywords

geometrycritical exponentHausdorff dimensioncircle mapirrational rotation numberflat piece

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Hausdorff and packing measures (28A78) Rotation numbers and vectors (37E45)

Related Items

A phase transition for circle maps with a flat spot and different critical exponents

Cites Work

• Unnamed Item
• A phase transition for circle maps and Cherry flows
• Scalings in circle maps. I
• A metric property of Cherry vector fields on the torus
• Rational rotation numbers for maps of the circle
• Scalings in circle maps. II
• Metric properties of Cherry flows
• A structure theorem in one dimensional dynamics
• Differentiable circle maps with a flat interval
• Dynamics of circle maps with flat spots
• On physical measures for Cherry flows
• On Cherry flows
• One-dimensional dynamics: The Schwarzian derivative and beyond
• Irrational rotation numbers
• Cherry flows with non-trivial attractors
• Quasi-symmetric conjugacy for circle maps with a flat interval
• Rotation intervals for a class of maps of the real line into itself