On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami; Daisuke Takahashi; Junta Matsukidaira

doi:10.1007/s13160-013-0134-0

On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami, Daisuke Takahashi^*, Junta Matsukidaira

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

Original language	English
Pages (from-to)	211-230
Number of pages	20
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s13160-013-0134-0
Publication status	Published - 2014 Feb

Keywords

Cellular automaton
Integrable system
Lattice operator
Max-plus algebra
Ultradiscretization

ASJC Scopus subject areas

Engineering(all)
Applied Mathematics

Access to Document

10.1007/s13160-013-0134-0

Cite this

@article{a573eee6ceeb421ba46c28bbe0ad1431,

title = "On solutions to evolution equations defined by lattice operators",

abstract = "We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.",

keywords = "Cellular automaton, Integrable system, Lattice operator, Max-plus algebra, Ultradiscretization",

author = "Takatoshi Ikegami and Daisuke Takahashi and Junta Matsukidaira",

year = "2014",

month = feb,

doi = "10.1007/s13160-013-0134-0",

language = "English",

volume = "31",

pages = "211--230",

journal = "Japan Journal of Industrial and Applied Mathematics",

issn = "0916-7005",

publisher = "Springer Japan",

number = "1",

}

TY - JOUR

T1 - On solutions to evolution equations defined by lattice operators

AU - Ikegami, Takatoshi

AU - Takahashi, Daisuke

AU - Matsukidaira, Junta

PY - 2014/2

Y1 - 2014/2

N2 - We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

AB - We discuss a specific form of evolution equations defined by lattice operators. We give exact solutions for a class of those equations and evaluate the complexity f the solutions. Moreover we discuss the relationship between them and binary cellular automata, and analyze their asymptotic behavior utilizing the explicit expression of the solution.

KW - Cellular automaton

KW - Integrable system

KW - Lattice operator

KW - Max-plus algebra

KW - Ultradiscretization

UR - http://www.scopus.com/inward/record.url?scp=84898829668&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84898829668&partnerID=8YFLogxK

U2 - 10.1007/s13160-013-0134-0

DO - 10.1007/s13160-013-0134-0

M3 - Article

AN - SCOPUS:84898829668

SN - 0916-7005

VL - 31

SP - 211

EP - 230

JO - Japan Journal of Industrial and Applied Mathematics

JF - Japan Journal of Industrial and Applied Mathematics

IS - 1

ER -

On solutions to evolution equations defined by lattice operators

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this