Bi-rational maps in four dimensions with two invariants

Articolo

Data di Pubblicazione:

2020

Citazione:

Bi-rational maps in four dimensions with two invariants / G. Gubbiotti, N. Joshi, D.T. Tran, C.-. Viallet. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 53:11(2020 Mar 20), pp. 115201.1-115201.25. [10.1088/1751-8121/ab72ad]

Abstract:

In this paper we present a class of four-dimensional bi-rational maps with two polynomial invariants of particular degree patterns. We discuss the integrability properties of these maps from the point of view of degree growth and Liouville integrability.

Tipologia IRIS:

01 - Articolo su periodico

Keywords:

algebraic entropy; bi-rational maps; difference equations; inflation; integrability; Liouville integrability

Elenco autori: