Complex Analysis of a Piece of Toda Lattice
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
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.
Cite
@article{arxiv.solv-int/9704006,
title = {Complex Analysis of a Piece of Toda Lattice},
author = {Satoru Saito and Noriko Saitoh and Hisao Konuma and Katsuhiko Yoshida},
journal= {arXiv preprint arXiv:solv-int/9704006},
year = {2009}
}
Comments
17 pages, LaTeX