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INTEGRABLE LATTICE MAPS: QV, A RATIONAL VERSION OF Q4

Published online by Cambridge University Press:  01 February 2009

CLAUDE M. VIALLET
CLAUDE M. VIALLET*
Affiliation:
LPTHE, Centre National de la Recherche Scientifique, UPMC Université Paris 06Boîte 126/4 Place Jussieu, F-75252 Paris Cedex 05, France e-mail: viallet@lpthe.jussieu.fr
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Abstract

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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.

Keywords

37K1052C9939A10
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue A , February 2009 , pp. 157 - 163
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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