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

Kenji Kajiwara, Masanobu Kaneko, Atsushi Nobe, Teruhisa Tsuda

研究成果: Contribution to journalArticle査読

4 被引用数 (Scopus)

抄録

We present a solvable two-dimensional piecewise linear chaotic map that 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 non-trivial ultradiscrete limit of the solution in spite of a problem known as 'the minus-sign problem.'

本文言語英語
ページ(範囲)315-338
ページ数24
ジャーナルKyushu Journal of Mathematics
63
2
DOI
出版ステータス出版済み - 10 30 2009

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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