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.
Gubbiotti, G., Joshi, N., Tran, D.T., Viallet, C.-. (2020). Bi-rational maps in four dimensions with two invariants. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 53(11), 115201 [10.1088/1751-8121/ab72ad].
Bi-rational maps in four dimensions with two invariants
Gubbiotti G.
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2020-01-01
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.File in questo prodotto:
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