Invariant critical sets of conserved quantities
Dynamical Systems
2015-05-28 v1
Abstract
For a dynamical system we will construct various invariant sets starting from its conserved quantities. We will give conditions under which certain solutions of a nonlinear system are also solutions for a simpler dynamical system, for example when they are solutions for a linear dynamical system. We will apply these results to the example of Toda lattice.
Cite
@article{arxiv.1105.4054,
title = {Invariant critical sets of conserved quantities},
author = {Petre Birtea and Dan Comănescu},
journal= {arXiv preprint arXiv:1105.4054},
year = {2015}
}