Quaternionic integrable systems
Mathematical Physics
2016-11-23 v1 Dynamical Systems
math.MP
Abstract
Standard (Arnold-Liouville) integrable systems are intimately related to complex rotations. One can define a generalization of these, sharing many of their properties, where complex rotations are replaced by quaternionic ones. Actually this extension is not limited to the integrable case: one can define a generalization of Hamilton dynamics based on hyperKahler structures.
Cite
@article{arxiv.math-ph/0209056,
title = {Quaternionic integrable systems},
author = {G. Gaeta and P. Morando},
journal= {arXiv preprint arXiv:math-ph/0209056},
year = {2016}
}
Comments
10 pages. To appear in the proceedings of the SPT2002 conference, edited by S. Abenda, G. Gaeta and S. Walcher, World Scientific