Quasi-integrability in a class of systems generalizing the problem of two fixed centers
Chaotic Dynamics
2007-05-23 v2 Exactly Solvable and Integrable Systems
Abstract
The problem of two fixed centers is a classical integrable problem, stated and integrated by Euler in 1760. The integrability is due to the unexpected first integral . Some straightforward generalizations of the problem still have the generalization of as a first integral, but do not possess the energy integral. We present some numerical integrations suggesting that in the domain of bounded orbits the behavior of these {\it a priori} non hamiltonian systems is very similar to the behavior of usual quasi-integrable systems.
Keywords
Cite
@article{arxiv.nlin/0210020,
title = {Quasi-integrability in a class of systems generalizing the problem of two fixed centers},
author = {A. Albouy and T. J. Stuchi},
journal= {arXiv preprint arXiv:nlin/0210020},
year = {2007}
}
Comments
4, 14, typos added