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.
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]
Bi-rational maps in four dimensions with two invariants
G. Gubbiotti
Primo
;
2020
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.
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