On integrable generalizations of the pentagram map

2013/03/18 by Beffa, Gloria Marí · 2 citations
#37J35 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1303.4295

Abstract

In this paper we prove that the generalization to \mathbbRPⁿ of the pentagram map defined in \citeKS is invariant under certain scalings for any n. This property allows the definition of a Lax representation for the map, to be used to establish its integrability.

Cited by

• Degree growth of skew pentagram maps
• Collapsing in polygonal dynamics

Related

• Integrability of higher pentagram maps
• The Algebraic Dynamics of the Pentagram Map
• The geometry of dented pentagram maps
• The Pentagram map on Grassmannians
• Long-diagonal pentagram maps