A metric property of Cherry vector fields on the torus

DOI10.1016/0022-0396(91)90123-QzbMath0727.58037MaRDI QIDQ803623

N. E. Zubov

Publication date: 1991

Published in: Journal of Differential Equations (Search for Journal in Brave)

zbMATH Keywords

singularitiesstable manifoldfull Lebesgue measure

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (9)

A phase transition for circle maps and Cherry flows ⋮ Invariant measures for Cherry flows ⋮ Cherry flow: physical measures and perturbation theory ⋮ Unbounded regime for circle maps with a flat interval ⋮ Metric properties of Cherry flows ⋮ A phase transition for circle maps with a flat spot and different critical exponents ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Cherry Maps with Different Critical Exponents: Bifurcation of Geometry ⋮ Hyperbolicity of renormalization for dissipative gap mappings

Cites Work

• Metric properties of Cherry flows
• Julia-Fatou-Sullivan theory for real one-dimensional dynamics
• A structure theorem in one dimensional dynamics
• On Cherry flows
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