期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 52, 期 20, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1751-8121/ab1433
关键词
integrable mapping; singularity confinement; dynamical degree; integrability criterion
资金
- Japan Society for the Promotion of Science (JSPS) [18K03355, 18K13438]
- Grants-in-Aid for Scientific Research [18K03355, 18K13438] Funding Source: KAKEN
In this paper we present a rigorous method for deciding whether a birational three point mapping that has the singularity confinement property is integrable or not, based only on the structure of its (confined) singularity patterns. We also explain how the exact value of the dynamical degree for such a mapping may be deduced from the singularity patterns.
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