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arXiv · 1907.00746

Bi-rational maps in four dimensions with two invariants

G. Gubbiotti·N. Joshi·D. T. Tran·C-M. Viallet
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Abstract

In this paper we present a class of four-dimensional bi-rational maps with two invariants satisfying certain constraints on degrees. We discuss the integrability properties of these maps from the point of view of degree growth and Liouville integrability.

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G. Gubbiotti, N. Joshi, D. T. Tran, C-M. Viallet. 2019-06-28. Bi-rational maps in four dimensions with two invariants. https://doi.org/10.1088/1751-8121%2Fab72ad

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