Calculating algebraic entropies: an express method

We describe a method for investigating the integrable character of a given three-point mapping, provided that the mapping has confined singularities. Our method, dubbed 'express', is inspired by a novel approach recently proposed by Halburd. While the latter aims at computing the exact deg...

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Veröffentlicht in:J.Phys.A 2017-05, Vol.50 (18), p.185203
Hauptverfasser: Ramani, A, Grammaticos, B, Willox, R, Mase, T
Format: Artikel
Sprache:eng
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Zusammenfassung:We describe a method for investigating the integrable character of a given three-point mapping, provided that the mapping has confined singularities. Our method, dubbed 'express', is inspired by a novel approach recently proposed by Halburd. While the latter aims at computing the exact degree growth of a given mapping based on the structure of its singularities, we content ourselves with obtaining an answer as to whether a given system is integrable or not. We present several examples illustrating our method as well as its limitations. We also compare the present method to the full-deautonomisation approach we recently introduced.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/aa66d7