• The number of orbits of period...

Treffer: The number of orbits of periodic box-ball systems

Title:
The number of orbits of periodic box-ball systems
Authors:
MIKODAL, Akihiro, INOKUCHI, Shuichi, MIZOGUCHI, Yoshihiro, FUJIO, Mitsuhiko
Source:
Unconventional computation (5th international conference, UC 2006, York, UK, September 4-8, 2006)0UC 2006. :181-194
Publisher Information:
Berlin; New York: Springer, 2006.
Publication Year:
2006
Physical Description:
print, 9 ref 1
Original Material:
INIST-CNRS
Subject Terms:
Computer science, Informatique, Sciences exactes et technologie, Exact sciences and technology, Sciences et techniques communes, Sciences and techniques of general use, Mathematiques, Mathematics, Probabilités et statistiques, Probability and statistics, Théorie des probabilités et processus stochastiques, Probability theory and stochastic processes, Sciences appliquees, Applied sciences, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Algorithmique. Calculabilité. Arithmétique ordinateur, Algorithmics. Computability. Computer arithmetics, Automate cellulaire, Cellular automaton, Autómata celular, Equation Volterra, Volterra equation, Ecuación Volterra, Equation différentielle, Differential equation, Ecuación diferencial, Génération nombre aléatoire, Random number generation, Generación número aleatorio, Modélisation, Modeling, Modelización, Méthode calcul, Computing method, Método cálculo, Orbite, Orbit, Orbita, Périodicité, Periodicity, Periodicidad, Similitude, Similarity, Similitud, Structure périodique, Periodic structure, Estructura periódica, Système cellulaire, Cell system, Sistema celular, Système périodique, Periodic system, Sistema periódico
Document Type:
Konferenz Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Graduate School of Mathematics, Kyushu University, Japan
Faculty of Mathematics, Kyushu University, Japan
Department of Systems Innovation and Informatics, Kyushu Institute of Technology, Japan
ISSN:
0302-9743
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=19130938
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Computer science; theoretical automation; systems

Mathematics
Accession Number:
edscal.19130938
Database:
PASCAL Archive

Weitere Informationen

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 continuous 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.