ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE
ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE
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DOI：
10.2206/kyushujm.63.315
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发表时间：
2009-03
影响因子：
0.4
通讯作者：
Kenji Kajiwara;Masanobu Kaneko;Atsushi Nobe;Teruhisa Tsuda
中科院分区：
文献类型：
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作者：
Kenji Kajiwara;Masanobu Kaneko;Atsushi Nobe;Teruhisa Tsuda
本文提出了一个可解的二维分段线性混沌映射，它是由某个热带三次曲线的复制映射产生的。利用超离散theta函数构造了它的一般解。我们表明，该地图是由超离散化的重复映射与黑森三次曲线。我们还表明，它是可能的，以获得非平凡的ultradescrete极限的solutio n尽管一个问题被称为“的负号问题”。
We present a solvable two-dimensional piecewise linear chaotic map which arises from the duplication map of a certain tropical cubic curve. Its gener al 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 solutio n in spite of a problem known as “the minus-sign problem.”