The Number of Orbits of Periodic Box-Ball Systems - Collections

＜conference paper＞
The Number of Orbits of Periodic Box-Ball Systems

Creator	Creator Name Mikoda, Akihiro 三小田, 昌弘ミコダ, アキヒロ Affiliation Affiliation Name Graduate School of Mathematics, Kyushu University 九州大学大学院数理学府
	Author PID K000788 Creator Name Inokuchi, Shuichi 井口, 修一イノクチ, シュウイチ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
	Author PID K002201 Creator Name Mizoguchi, Yoshihiro 溝口, 佳寛ミゾグチ, ヨシヒロ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
	Creator Name Fujio, Mitsuhiko 藤尾, 光彦フジオ, ミツヒコ Affiliation Affiliation Name Department of Systems Innovation and Informatics, Kyushu Institute of Technology 九州工業大学情報工学部システム創成情報工学科
Language	English
Publisher	Springer
Date	2006-08-22
Source Title	Lecture notes in computer science
Vol	4135
First Page	181
Last Page	194
Publication Type	Accepted Manuscript
Access Rights	open access
Related DOI	isIdenticalTo https://doi.org/10.1007/11839132
Related DOI	MHF Preprint Series, Kyushu University ; 2006-24
Related DOI	Lecture notes in computer science \|\| 4135 \|\| p181-194
	http://www.math.kyushu-u.ac.jp/gakufu/
	http://www2.math.kyushu-u.ac.jp/~ym/
	http://flab.ces.kyutech.ac.jp/~fujio/
Related URI	Lecture notes in computer science \|\| 4135 \|\| p181-194
	http://www.math.kyushu-u.ac.jp/gakufu/
	http://www2.math.kyushu-u.ac.jp/~ym/
	http://flab.ces.kyutech.ac.jp/~fujio/
Related URI
Related HDL
Relation	MHF Preprint Series, Kyushu University ; 2006-24
	Lecture notes in computer science \|\| 4135 \|\| p181-194
	http://www.math.kyushu-u.ac.jp/gakufu/
	http://www2.math.kyushu-u.ac.jp/~ym/
	http://flab.ces.kyutech.ac.jp/~fujio/
Abstract	A box-ball system is a kind of cellular automata obtained by the ultradiscrete Lotka-Volterra equation. Similarities and differences between behavious of discrete systems (cellular automata) and conti...nuous systems (differential equations) are investigated using techniques of ultradiscretizations. Our motivations is to take advantage of behavious of box-ball systems for new kinds of computations. Especially, we tried to find out useful periodic box-ball systems(pBBS) for random number generations. Applicable pBBS systems should have long fundamental cycles. We focus on pBBS with at most two kinds of solitons and investigate their behaviours, especially, the length of cycles and the number of orbits. We showed some relational equations of soliton sizes, a box size and the number of orbits. Varying a box size, we also found out some simulation results of the periodicity of orbits of pBBS with same kinds of solitons.show more

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2006-24	pdf	313 KB	724	Preprint

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Record ID	11867
Peer-Reviewed	Refereed
ISSN	0302-9743
ISBN	978-3-540-38593-6
DOI	10.1007/11839132
Notes	Kyushu University 21st Century COE Program Development of Dynamic Mathematics with High Functionality
	九州大学21世紀COEプログラム「機能数理学の構築と展開」
	Unconventional Computation : 5th International Conference, UC 2006, York, UK, September 4-8, 2006. Proceedings
Type	会議発表論文
Created Date	2009.04.22
Modified Date	2024.01.10

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＜conference paper＞ The Number of Orbits of Periodic Box-Ball Systems

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＜conference paper＞
The Number of Orbits of Periodic Box-Ball Systems