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arXiv · solv-int/9704006

Complex Analysis of a Piece of Toda Lattice

Satoru Saito·Noriko Saitoh·Hisao Konuma·Katsuhiko Yoshida
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Abstract

We study a small piece of two dimensional Toda lattice as a complex dynamical system. In particular the Julia set, which appears when the piece is deformed, is shown analytically how it disappears as the system approaches to the integrable limit.

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Satoru Saito, Noriko Saitoh, Hisao Konuma, Katsuhiko Yoshida. 1997-04-05. Complex Analysis of a Piece of Toda Lattice. https://doi.org/10.1088/0305-4470%2F30%2F19%2F029

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