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Classification of Cherry transformations on a circumference and Cherry flows on a torus

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Publication:677717
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zbMath0877.58047MaRDI QIDQ677717

Evgeny Zhuzhoma, Samuel Kh. Aranson, Timur V. Medvedev

Publication date: 18 November 1997

Published in: Russian Mathematics (Search for Journal in Brave)


zbMATH Keywords

rotation numberCherry flowCherry transformationconjugated and semiconjugated mappingstopologically equivalent flows


Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamics induced by flows and semiflows (37C10) Ordinary differential equations and systems on manifolds (34C40)


Related Items (5)

The lamination of infinitely renormalizable dissipative gap maps: analyticity, holonomies and conjugacies ⋮ Versions of the closing lemma for certain dynamical systems on tori ⋮ Flows on closed surfaces and behavior of trajectories lifted to the universal covering plane ⋮ Qualitative theory of flows on surfaces (a review) ⋮ Hyperbolicity of renormalization for dissipative gap mappings




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