Journal article

Singularity confinement and algebraic integrability

Abstract:

Two important notions of integrability for discrete mappings are algebraic integrability and singularity confinement, have been used for discrete mappings. Algebraic integrability is related to the existence of sufficiently many conserved quantities whereas singularity confinement is associated with the local analysis of singularities. In this paper, the relationship between these two notions is explored for birational autonomous mappings. Two types of results are obtained: first, algebraical...

Publication status:
Published

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Publisher copy:
10.1063/1.1640797

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF MATHEMATICAL PHYSICS
Volume:
45
Issue:
3
Pages:
1191-1208
Publication date:
2003-11-08
DOI:
ISSN:
0022-2488
Language:
English
Keywords:
Pubs id:
pubs:188523
UUID:
uuid:13dd5497-046a-4576-83a7-826973f3b4d1
Local pid:
pubs:188523
Source identifiers:
188523
Deposit date:
2013-11-16