INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 157-163
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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.
VIALLET, CLAUDE M. INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 157-163. doi: 10.1017/S0017089508004874
@article{10_1017_S0017089508004874,
author = {VIALLET, CLAUDE M.},
title = {INTEGRABLE {LATTICE} {MAPS:} {QV,} {A} {RATIONAL} {VERSION} {OF} {Q4}},
journal = {Glasgow mathematical journal},
pages = {157--163},
year = {2009},
volume = {51},
number = {A},
doi = {10.1017/S0017089508004874},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004874/}
}
TY - JOUR AU - VIALLET, CLAUDE M. TI - INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4 JO - Glasgow mathematical journal PY - 2009 SP - 157 EP - 163 VL - 51 IS - A UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004874/ DO - 10.1017/S0017089508004874 ID - 10_1017_S0017089508004874 ER -
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