Dynamics on Ahlfors quasi-circles

DOI10.1007/BF02837798zbMath0703.58038MaRDI QIDQ916180

Jenny Harrison

Publication date: 1989

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

zbMATH Keywords

rotation numberannulusquasi-circleminimal Cantor set\(C^ 2\)-diffeomorphism\(C^ 3\) diffeomorphismDenjoy counterexample

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

Related Items (1)

On one-dimensional dynamics in intermediary regularity

Cites Work

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• \(C^ 2\) counterexamples to the Seifert conjecture
• Denjoy fractals
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
• Sur les courbes definies par les équations différentielles à la surface du tore
• Stable and Random Motions in Dynamical Systems
• Continued fractals and the Seifert conjecture
• A C^∞ Denjoy counterexample

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