Metric properties of Cherry flows

DOI10.1016/0022-0396(92)90081-WzbMath0764.58029MaRDI QIDQ1188225

P. C. Moreira, Antonio Augusto Gaspar Ruas

Publication date: 13 August 1992

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

zbMATH Keywords

orbitsmetricLebesgue measureCherry flowshyperbolic singularitiesMorse-Smale fieldssaddle-type

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10)

Related Items (10)

A phase transition for circle maps and Cherry flows ⋮ Invariant measures for Cherry flows ⋮ Cherry flow: physical measures and perturbation theory ⋮ The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies ⋮ Unbounded regime for circle maps with a flat interval ⋮ A phase transition for circle maps with a flat spot and different critical exponents ⋮ Quasi-symmetric conjugacy for circle maps with a flat interval ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Cherry Maps with Different Critical Exponents: Bifurcation of Geometry ⋮ A metric property of Cherry vector fields on the torus

Cites Work

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• A metric property of Cherry vector fields on the torus
• On Cherry flows
• Analytic Quasi-Periodic Curves of Discontinuous Type on a Torus
• Closed principal lines and bifurcation

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