Abundance of mode-locking for quasiperiodically forced circle maps

DOI10.1007/s00220-017-2870-5zbMath1402.37054arXiv1607.01700OpenAlexW2923459738MaRDI QIDQ529968

Tobias Jäger, Jing Wang, Qi Zhou

Publication date: 9 June 2017

Published in: Advances in Mathematics, Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01700

zbMATH Keywords

multiscale analysiscircle mapsArnold tonguesArnold circle mapmode-lockingquasiperiodic circle map

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Dynamical systems involving maps of the circle (37E10) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Multiple scale methods for ordinary differential equations (34E13) Rotation numbers and vectors (37E45)

Related Items (5)

Quantitative reducibility of Gevrey quasi-periodic cocycles and its applications ⋮ Linearization of quasiperiodically forced circle flows beyond Brjuno condition ⋮ Abundance of mode-locking for quasiperiodically forced circle maps ⋮ Rectifiability of a class of invariant measures with one non-vanishing Lyapunov exponent ⋮ On topological genericity of the mode-locking phenomenon

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