REMARKS ON SKEW PRODUCTS OVER IRRATIONAL ROTATIONS

DOI10.1142/S0218127405014118zbMath1097.37008MaRDI QIDQ5474375

Lev M. Lerman

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

invariant setsirrational rotationquasi-periodic differential equationskew product diffeomorphism

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27) Topological dynamics of nonautonomous systems (37B55) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (5)

Weakly hyperbolic invariant tori for two dimensional quasiperiodically forced maps in a degenerate case ⋮ Nonautonomous gradient-like vector fields on the circle: classification, structural stability and autonomization ⋮ Lower dimensional invariant tori for quasiperiodically forced circle diffeomorphisms ⋮ Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps ⋮ Parabolic invariant tori in quasi-periodically forced skew-product maps

Cites Work

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• Characterizing strange nonchaotic attractors
• MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP
• Global density of reducible quasi-periodic cocycles on \(\mathbb T^1\times \text{SU}(2)\)

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