Elliptic curves and Fibonacci numbers arising from Lindenmayer system with Symbolic Computation
スポンサーリンク
概要
- 論文の詳細を見る
MI: Global COE Program Education-and-Research Hub for Mathematics-for-IndustryグローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」Starting from an egg, the multicell becomes a set of cells comprising a variety of types to serve functions.This phenomenon brings us a bio-motivated Lindenmayer system. To investigate conditions for a variety of cell types,we have constructed a stochastic model over Lindenmayer systems. This model considers interactive behaviors among cells, yielding complicated polynomials. Using symbolic computation, we have derived explicit relations between cell-type diversity and cell-type ratio constraint. These relations exhibit elliptic curve- and Fibonacci number-related patterns. This is the first example of elliptic curves to appear in the Lindenmayer context. A survey of the rational points and the quadratic irrational numbers on the derived curves has revealed Fibonacci-related periodic and quasiperiodic patterns. Further we have found that in some region, there are only two elliptic curve-related periodic patterns.
論文 | ランダム
- 「山村」概念の歴史性--その視点と表象をめぐって (特集 中・近世山村像の再構築〔民衆史研究会2004年度大会〕)
- 歴史と場所--過去認識の歴史地理学 (特集 歴史学の現在2005)
- 近世出羽国における焼畑の検地・経営・農法--村山郡のカノを中心に
- 特設レポート 村落の歴史地理 (学界展望〔人文地理関係〕)
- 書評と紹介 米家泰作著『中・近世山村の景観と構造』