INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4

We describe a family of integrable lattice maps related to the known quad maps Q4. The integrability criterion we use is the vanishing of the algebraic entropy. The family has the advantage of being parametrized rationally: all its parameters are unconstrained.

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Bibliographic Details
Published inGlasgow mathematical journal Vol. 51; no. A; pp. 157 - 163
Main Author VIALLET, CLAUDE M.
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.02.2009
Subjects
37K10
39A10
52C99
52C99
37K10
39A10
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Summary:We describe a family of integrable lattice maps related to the known quad maps Q4. The integrability criterion we use is the vanishing of the algebraic entropy. The family has the advantage of being parametrized rationally: all its parameters are unconstrained.
Bibliography:ArticleID:00487
PII:S0017089508004874
istex:01D7CF63F5C5CD3C6B04A3E17AE4EB324A41179B
ark:/67375/6GQ-DZHMH6M9-1
ISSN:0017-0895
1469-509X
DOI:10.1017/S0017089508004874