pith. sign in

arxiv: 1611.05111 · v2 · pith:MDFNQIJRnew · submitted 2016-11-16 · 🧮 math-ph · math.MP· nlin.SI

Calculating algebraic entropies: an express method

classification 🧮 math-ph math.MPnlin.SI
keywords methodgivenmappingapproachexpressintegrablerecentlysingularities
0
0 comments X
read the original abstract

We describe a method for investigating the integrable character of a given three-point mapping, provided that the mapping has confined singularities. Our method, dubbed "express", is inspired by a novel approach recently proposed by R.G. Halburd. While the latter aims at computing the exact degree growth of a given mapping based on the structure of its singularities, we content ourselves with obtaining an answer as to whether a given system is integrable or not. We present several examples illustrating our method as well as its limitations. We also compare the present method to the full-deautonomisation approach we recently introduced.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.