Short cycles of Poncelet's conics

DOI10.1016/j.laa.2009.11.032zbMath1187.14059OpenAlexW1968805503MaRDI QIDQ962085

Boris Mirman

Publication date: 6 April 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.032

zbMATH Keywords

dynamical systemPoncelet's general theorem

Mathematics Subject Classification ID

Questions of classical algebraic geometry (51N35) Computational aspects of algebraic curves (14Q05) Classical problems, Schubert calculus (14N15)

Related Items

In search of a measure in Poncelet's porism, Explicit solutions to Poncelet's porism

Cites Work

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• The rotation number of some transformation related to billiards in an ellipse
• Numerical range ofs(φ)
• Three Problems in Search of a Measure
• Sufficient Conditions for Poncelet Polygons Not to Close
• Poncelet's porism in the finite real plane
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy
• Numerical ranges, Poncelet curves, invariant measures