Periodic points and rotation numbers for area preserving diffeomorphisms of the plane

DOI10.1007/BF02699879zbMath0721.58031OpenAlexW2073692875MaRDI QIDQ2640963

John Franks

Publication date: 1990

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1990__71__105_0

zbMATH Keywords

rotation numberperiodic pointarea preserving diffeomorphismsimple heteroclinic cycle

Mathematics Subject Classification ID

Ergodic theory (37A99) Differentiable maps on manifolds (58C25)

Related Items (5)

Refinements of Franks' theorem and applications in Reeb dynamics ⋮ Stable and unstable manifolds in a zone of instability. II ⋮ Dynamical ordering of symmetric non-Birkhoff periodic points in reversible monotone twist mappings ⋮ Periodic Orbits and the Continuity of Rotation Numbers ⋮ On the appearance order of homoclinic and heteroclinic intersections in a family of dissipative maps of the plane

Cites Work

• Unnamed Item
• Recurrence and fixed points of surface homeomorphisms
• On the geometry and dynamics of diffeomorphisms of surfaces
• Smoothing Derivatives of Functions and Applications

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