Hyperhamiltonian dynamics
Mathematical Physics
2009-11-07 v1 Dynamical Systems
math.MP
Abstract
We introduce an extension of hamiltonian dynamics, defined on hyperkahler manifolds, which we call ``hyperhamiltonian dynamics''. We show that this has many of the attractive features of standard hamiltonian dynamics. We also discuss the prototypical integrable hyperhamiltonian systems, i.e. quaternionic oscillators.
Keywords
Cite
@article{arxiv.math-ph/0204019,
title = {Hyperhamiltonian dynamics},
author = {G. Gaeta and P. Morando},
journal= {arXiv preprint arXiv:math-ph/0204019},
year = {2009}
}
Comments
24 pages; to appear in J. Phys. A