On topological genericity of the mode-locking phenomenon
From MaRDI portal
Publication:2290817
DOI10.1007/S00208-019-01950-0zbMath1435.37061arXiv1712.02481OpenAlexW2996899930WikidataQ126418334 ScholiaQ126418334MaRDI QIDQ2290817
Publication date: 29 January 2020
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.02481
Dynamical systems involving maps of the circle (37E10) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Rotation numbers and vectors (37E45)
Cites Work
- Unnamed Item
- Abundance of mode-locking for quasiperiodically forced circle maps
- Opening gaps in the spectrum of strictly ergodic Schrödinger operators
- A KAM scheme for SL(2, \(\mathbb R\)) cocycles with Liouvillean frequencies
- The dynamics of the Hénon map
- Une méthode pour minorer les exposants de Lyapounov et quelques exemples montrant le caractère local d'un théorème d'Arnold et de Moser sur le tore de dimension 2
- Cantor spectrum for Schrödinger operators with potentials arising from generalized skew-shifts
- Linearization of conservative toral homeomorphisms
- Floquet solutions for the 1-dimensional quasi-periodic Schrödinger equation
- Linearization of quasiperiodically forced circle flows beyond Brjuno condition
- Anderson localization for the 1-D discrete Schrödinger operator with two-frequency potential
- On the spectrum of multi-frequency quasiperiodic Schrödinger operators with large coupling
- Reducibility or nonuniform hyperbolicity for quasiperiodic Schrödinger cocycles
- Asymptotic cycles
- Rotation numbers for quasiperiodically forced circle maps-mode-locking vs. strict monotonicity
- Lyapunov exponents for some quasi-periodic cocycles
- Genericity of zero Lyapunov exponents
- TOWARDS A CLASSIFICATION FOR QUASIPERIODICALLY FORCED CIRCLE HOMEOMORPHISMS
This page was built for publication: On topological genericity of the mode-locking phenomenon
