Integrable lattice maps: QV, A Rational Version of Q4

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Abstract

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. © 2009, Glasgow Mathematical Journal Trust. All rights reserved.

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Viallet, C. M. (2009). Integrable lattice maps: QV, A Rational Version of Q4. Glasgow Mathematical Journal, 51(A), 157–163. https://doi.org/10.1017/S0017089508004874

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