标题： 与Hesse三次曲线相关的可解二维混沌映射的超离散化 显示英文标题

标题： Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve

摘要： 我们提出一个可解的二维分段线性混沌映射，该映射来源于某种热带三次曲线的复制映射。 其通解是通过超离散theta函数构造的。 我们证明该映射是与Hesse三次曲线相关的复制映射的超离散化结果。 我们还证明，在存在所谓的“负号问题”的情况下，仍然可以得到解的非平凡超离散极限。 显示英文摘要

摘要： We present a solvable two-dimensional piecewise linear chaotic map which arises from the duplication map of a certain tropical cubic curve. Its general solution is constructed by means of the ultradiscrete theta function. We show that the map is derived by the ultradiscretization of the duplication map associated with the Hesse cubic curve. We also show that it is possible to obtain the nontrivial ultradiscrete limit of the solution in spite of a problem known as "the minus-sign problem."