Complex Analysis of a Piece of Toda Lattice
Satoru Saito, Noriko Saitoh, Hisao Konuma, Katsuhiko Yoshida
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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