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arxiv: 1410.4628 · v1 · pith:FFMMABVXnew · submitted 2014-10-17 · 🌊 nlin.SI

Poisson structures for lifts and periodic reductions of integrable lattice equations

classification 🌊 nlin.SI
keywords poissonstructuresequationsintegrablelatticeliftsmapsperiodic
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We introduce and study suitable Poisson structures for four dimensional maps derived as lifts and specific periodic reductions of integrable lattice equations. These maps are Poisson with respect to these structures and the corresponding integrals are in involution.

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