English

On integrable generalizations of the pentagram map

Dynamical Systems 2013-03-19 v1

Abstract

In this paper we prove that the generalization to RPn\mathbb{RP}^n of the pentagram map defined in \cite{KS} is invariant under certain scalings for any nn. This property allows the definition of a Lax representation for the map, to be used to establish its integrability.

Keywords

Cite

@article{arxiv.1303.4295,
  title  = {On integrable generalizations of the pentagram map},
  author = {Gloria Marí Beffa},
  journal= {arXiv preprint arXiv:1303.4295},
  year   = {2013}
}
R2 v1 2026-06-21T23:43:48.606Z