Published March 20, 2020 | Version v1
Journal article

Bi-rational maps in four dimensions with two invariants

  • 1. School of Mathematics and Statistics F07, The University of Sydney, NSW 2006 (Australia)
  • 2. LPTHE, UMR 7589 Centre National de la Recherche Scientifique & UPMC Sorbonne Universités, 4 place Jussieu, 75252 Paris Cedex 05 (France)

Description

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. (paper)

Availability note (English)

Available from http://dx.doi.org/10.1088/1751-8121/ab72ad

Additional details

Identifiers

Publishing Information

Journal Title
Journal of Physics. A, Mathematical and Theoretical (Online)
Journal Volume
53
Journal Issue
11
Journal Page Range
[24 p.]
ISSN
1751-8121

INIS

Country of Publication
United Kingdom
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
52063538
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
FOUR-DIMENSIONAL CALCULATIONS; MAPS; POLYNOMIALS
Descriptors DEC
FUNCTIONS