ULTRADISCRETIZATION OF A SOLVABLE TWO-DIMENSIONAL CHAOTIC MAP ASSOCIATED WITH THE HESSE CUBIC CURVE

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概要

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• We present a solvable two-dimensional piecewise linear chaotic map that 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 non-trivial ultradiscrete limit of the solution in spite of a problem known as ‘the minus-sign problem.’

著者

• Kajiwara Kenji

  Faculty Of Mathematics Kyushu University

• Kaneko Masanobu

  Faculty Of Math Kyushu Univ.

• Nobe Atsushi

  Graduate School Of Mathematical Sciences University Of Tokyo

• Tsuda Teruhisa

  Faculty of Mathematics Kyushu University

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