dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. SD - Sistemes Dinàmics de la UPC
dc.contributor.author
Petrera, Matteo
dc.contributor.author
Pfadler, Andreas
dc.contributor.author
Suris, Yuri B.
dc.contributor.author
Fedorov, Yuri
dc.date.issued
2017-01-01
dc.identifier
Petrera, M., Pfadler, A., Suris, Y., Fedorov, Y. On the construction of elliptic solutions of integrable birational maps. "Experimental mathematics", 1 Gener 2017, vol. 26, núm. 3, p. 324-341.
dc.identifier
https://hdl.handle.net/2117/105045
dc.identifier
10.1080/10586458.2016.1166354
dc.description.abstract
This is an Accepted Manuscript of an article published by Taylor & Francis in “Experimental mathematics” on 24th August 2016, available online: http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1166354
dc.description.abstract
We present a systematic technique to find explicit solutions of birational maps, provided that these solutions are given in terms of elliptic functions. The two main ingredients are the following: (i) application of classical addition theorems for elliptic functions and (ii) experimental technique to detect an algebraic curve containing a given sequence of points in a plane. These methods are applied to Kahan–Hirota–Kimura discretizations of the periodic Volterra chains with three and four particles.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1166354
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Geometry, Algebraic
dc.subject
Elliptic functions
dc.subject
elliptic function
dc.subject
birational map
dc.subject
integrable map
dc.subject
Geometria algebraica
dc.subject
Funcions el·líptiques
dc.title
On the construction of elliptic solutions of integrable birational maps
