Separation of variables for the generalized Henon-Heiles system and system with quartic potential
Exactly Solvable and Integrable Systems
2011-09-06 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We consider two well-known integrable systems on the plane using the concept of natural Poisson bivectors on Riemaninan manifolds. Geometric approach to construction of variables of separation and separated relations for the generalized Henon-Heiles system and the generalized system with quartic potential is discussed in detail.
Cite
@article{arxiv.1012.0468,
title = {Separation of variables for the generalized Henon-Heiles system and system with quartic potential},
author = {Yu. A. Grigoryev and A. V. Tsiganov},
journal= {arXiv preprint arXiv:1012.0468},
year = {2011}
}
Comments
9 pages, LaTeX with AMS fonts