Research field (4):
Mathematical analysis
, Mathematical physics and basic theory
, Applied mathematics and statistics
, Computational science
Research keywords (11):
離散可積分系
, 交通流
, 超離散化
, Ultra Discrete System
, Integrable System
, Cellular Automata
, Soliton
, 超離散系
, 可積分系
, セルオートマトン
, ソリトン
Research theme for competitive and other funds (11):
2014 - 2017 束(Lattice)の代数的構造を用いたセルオートマトンの統一的理論の構築
2010 - 2012 Construction of particle cellular automata models using the ultradiscretization method
2006 - 2008 A study on conserved cellular automata and their particle systems by ultradiscrete method
2003 - 2004 Euler-Lagrange correspondence of ultra-discrete systems
2001 - 2002 振動的な解を持つ超離散系の研究
1999 - 2002 Applicaticns of Ultradiscretization Method
1999 - 2000 超離散系の代数構造の研究
1997 - 1998 近可積分ソリトン・セルオ-トマトン
1995 - 1996 COMPUTER SIMULATION OF THE OPTICAL SOLITON USING THE NONLINEAR LORENTZ COMPUTATIONAL MODEL
1995 - Studies on ultradiscrete system
1994 - 1994 高次元ソリトン方程式の離散化
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Papers (38):
Atsushi Nobe, Junta Matsukidaira. Periodicity, linearizability, and integrability in seed mutations of type AN(1). Journal of Mathematical Physics. 2021. 62. 1. 013510-013510
Atsushi Nobe, Junta Matsukidaira. A family of integrable and non-integrable difference equations arising from cluster algebras. RIMS Kokyuroku Bessatsu. 2019
Matsukidaira Junta. Activities of the Special Interest Group on Applied Integrable Systems(Reports from Special Interest Groups). Bulletin of the Japan Society for Industrial and Applied Mathematics. 2010. 20. 1. 77-78