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20182021
most citedUsing discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

13 citations · 15 across the 4 of their papers we have counts for

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nlin.SI2019★ 13 cited

Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps

E Celledoni, C Evripidou, D I McLaren +4

In this Letter we propose a systematic approach for detecting and calculating preserved measures and integrals of a rational map. The approach is based on the use of cofactors and…

nlin.SI2018★ 2 cited

Poisson structures for difference equations

Charalampos A. Evripidou, G. R. W. Quispel, John A. G. Roberts

We study the existence of log-canonical Poisson structures that are preserved by difference equations of special form. We also study the inverse problem, given a log-canonical Pois…