On Poncelet's maps

DOI10.1016/j.camwa.2010.06.027zbMath1201.51024arXiv0812.2588OpenAlexW2043318922MaRDI QIDQ611479

Víctor Mañosa, Anna Cima, Armengol Gasull

Publication date: 14 December 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0812.2588

zbMATH Keywords

rotation numbercircle mapsdevil's staircasePoncelet's problem

Mathematics Subject Classification ID

Related Items (5)

In search of a measure in Poncelet's porism ⋮ Periodic Orbits of Planar Integrable Birational Maps ⋮ Real dynamics of integrable birational maps ⋮ Rotation indices related to Poncelet's closure theorem ⋮ Some open problems in low dimensional dynamical systems

Cites Work

• On Cayley's explicit solution to Poncelet's porism
• Studying discrete dynamical systems through differential equations
• Three Problems in Search of a Measure
• Chaos in Dynamical Systems
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