Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve

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dc.creatorKajiwara, Kenji
dc.creatorKaneko, Masanobu
dc.creatorNobe, Atsushi
dc.creatorTsuda, Teruhisa
dc.date2009-03-02
dc.date2009-03-06
dc.date.accessioned2026-07-07T12:49:11Z
dc.date.available2026-07-07T12:49:11Z
dc.descriptionWe present a solvable two-dimensional piecewise linear chaotic map which arises from the duplication map of a certain tropical cubic curve. Its general solution is constructed by means of the ultradiscrete theta function. We show that the map is derived by the ultradiscretization of the duplication map associated with the Hesse cubic curve. We also show that it is possible to obtain the nontrivial ultradiscrete limit of the solution in spite of a problem known as "the minus-sign problem."
dc.description24 pages, to appear in Kyushu J. Math.(2009). v2: Introduction modified, some references added and typos corrected
dc.identifierhttps://arxiv.org/abs/0903.0331
dc.identifierhttp://arxiv.org/abs/0903.0331
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222318
dc.subjectExactly Solvable and Integrable Systems
dc.subjectAlgebraic Geometry
dc.titleUltradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve
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