抄録
We consider the ultradiscretization of a solvable one-dimensional chaotic map which arises from the duplication formula of the elliptic functions. It is shown that the ultradiscrete limit of the map and its solution yield the tent map and its solution simultaneously. A geometric interpretation of the dynamics of the tent map is given in terms of the tropical Jacobian of a certain tropical curve. Generalization to the maps corresponding to the mth multiplication formula of the elliptic functions is also discussed.
| 本文言語 | English |
|---|---|
| 論文番号 | 395202 |
| ジャーナル | Journal of Physics A: Mathematical and Theoretical |
| 巻 | 41 |
| 号 | 39 |
| DOI | |
| 出版ステータス | Published - 2008 10月 3 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 統計物理学および非線形物理学
- 統計学および確率
- モデリングとシミュレーション
- 数理物理学
- 物理学および天文学（全般）