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

DOI10.2206/kyushujm.63.315zbMath1177.14061arXiv0903.0331OpenAlexW2172194670MaRDI QIDQ3647089

Kenji Kajiwara, Masanobu Kaneko, Teruhisa Tsuda, Atsushi Nobe

Publication date: 30 November 2009

Published in: Kyushu Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.0331

zbMATH Keywords

theta functionsdiscrete dynamical systemstropical geometryultradiscretizationplane cubic curve

Mathematics Subject Classification ID

Elliptic curves (14H52) Jacobians, Prym varieties (14H40) Theta functions and abelian varieties (14K25) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamics of complex polynomials, rational maps, entire and meromorphic functions; Fatou and Julia sets (37F10) Dynamical systems involving maps of the interval (37E05)

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