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Complex Analysis of a Piece of Toda Lattice

arXiv:solv-int/9704006 · doi:10.1088/0305-4470/30/19/029

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.

17 pages, LaTeX