Singularity confinement for maps with the Laurent property
可精确求解与可积系统
2009-11-11 v4
摘要
The singularity confinement test is very useful for isolating integrable cases of discrete-time dynamical systems, but it does not provide a sufficient criterion for integrability. Quite recently a new property of the bilinear equations appearing in discrete soliton theory has been noticed: the iterates of such equations are Laurent polynomials in the initial data. A large class of non-integrable mappings of the plane are presented which both possess this Laurent property and have confined singularities.
引用
@article{arxiv.nlin/0602007,
title = {Singularity confinement for maps with the Laurent property},
author = {A. N. W. Hone},
journal= {arXiv preprint arXiv:nlin/0602007},
year = {2009}
}
备注
13 pages; typos corrected; comments & references added; reformulation of theorem