On solutions to evolution equations defined by lattice operators

Takatoshi Ikegami, Daisuke Takahashi, Junta Matsukidaira

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)211-230
Number of pages20
JournalJapan Journal of Industrial and Applied Mathematics
Volume31
Issue number1
DOIs
Publication statusPublished - 2014 Feb

Keywords

  • Cellular automaton
  • Integrable system
  • Lattice operator
  • Max-plus algebra
  • Ultradiscretization

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On solutions to evolution equations defined by lattice operators'. Together they form a unique fingerprint.

Cite this