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

＜departmental bulletin paper＞
ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE

Creator	Author PID K000794 Creator Name Kajiwara, Kenji 梶原, 健司 Affiliation Affiliation Name Faculty of Mathematics Kyushu University 九州大学数理学研究院
	Author PID K000485 Creator Name Kaneko, Masanobu 金子, 昌信 Affiliation Affiliation Name Faculty of Mathematics Kyushu University 九州大学数理学研究院
	Creator Name Nobe, Atsushi 野邊, 厚 Affiliation Affiliation Name Graduate School of Engineering Science Osaka University 大阪大学大学院基礎工学研究科
	Author PID K003145 Creator Name Tsuda, Teruhisa 津田, 照久 Affiliation Affiliation Name Faculty of Mathematics Kyushu University 九州大学数理学研究院
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2009-10
Source Title	Kyushu Journal of Mathematics
Vol	63
Issue	2
First Page	315
Last Page	338
Publication Type	Version of Record
Access Rights	open access
Related DOI	isIdenticalTo https://doi.org/10.2206/kyushujm.63.315
Related DOI	Kyushu Journal of Mathematics \|\| 63(2) \|\| p315-338
Related DOI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI	Kyushu Journal of Mathematics \|\| 63(2) \|\| p315-338
Related URI	http://www2.math.kyushu-u.ac.jp/~kjm/
Related URI
Related HDL
Relation	Kyushu Journal of Mathematics \|\| 63(2) \|\| p315-338
Relation	http://www2.math.kyushu-u.ac.jp/~kjm/
Abstract	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 ultradisc...rete 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.’show more

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Record ID	16543
Peer-Reviewed	Refereed
Subject Terms	ultradiscretization
	tropical geometry
	theta functions
	plane cubic curve
	discrete dynamical systems
ISSN	1340-6116
DOI	10.2206/kyushujm.63.315
NCID	AA10994346
Type	紀要論文
Created Date	2012.01.06
Modified Date	2024.01.10

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＜departmental bulletin paper＞ ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE

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＜departmental bulletin paper＞
ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE