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 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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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. |
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ISSN: | 1751-8113 1751-8121 |
DOI: | 10.1088/1751-8121/aa66d7 |