Dynamical Systems Seminar: Hector Lomelli
Equivariant symmetries in Poncelet maps
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Date and time:Ìý
Thursday, November 21, 2013 - 2:00pm
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ECCR 257
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We study symmetries of families of circle maps that arise in connection with the theorem of Poncelet.
We use the recent technique of reduction by lifting to studyÌý diffeomorphisms that have a equivariant symmetries. Reduction by lifting can be used when a symmetry of a map is a flow with a global cross section. In that situation,Ìý there are coordinates in which the map takes a reduced,Ìý skew-product form and hence allows for reduction of dimensionality. In particular, we explore the possible generalizations of the classic Poncelet theorem.