On the construction of elliptic solutions of integrable birational maps

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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	2017-01-01
dc.identifier.citation	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.citation	1058-6458
dc.identifier.citation	10.1080/10586458.2016.1166354
dc.identifier.uri	http://hdl.handle.net/2117/105045
dc.language.iso	eng
dc.relation	http://www.tandfonline.com/doi/full/10.1080/10586458.2016.1166354
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	http://creativecommons.org/licenses/by-nc-nd/3.0/es/
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
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
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

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