Bi-rational maps in four dimensions with two invariants

Academic Article

Publication Date:

2020

Citation:

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.

IRIS type:

01 - Articolo su periodico

Keywords:

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

List of contributors: