ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE

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ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE

フォーマット:
雑誌論文
Kyushu Univ. Production 九州大学成果文献
責任表示:
Kajiwara, Kenji(Faculty of Mathematics Kyushu University)
梶原, 健司(九州大学数理学研究院)
Kaneko, Masanobu(Faculty of Mathematics Kyushu University)

金子, 昌信(九州大学数理学研究院)
Nobe, Atsushi(Graduate School of Engineering Science Osaka University)
野邊, 厚(大阪大学大学院基礎工学研究科)
Tsuda, Teruhisa(Faculty of Mathematics Kyushu University)
津田, 照久(九州大学数理学研究院)

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本文言語:
英語
出版情報:
Kyushu Journal of Mathematics. 63, (2), pp. 315-338, 2009-10. 九州大学大学院数理学研究院
バージョン:
None
概要:
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.’ 続きを見る
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