Side conditions for ordinary differential equations
Dynamical Systems
2014-06-17 v1 Mathematical Physics
math.MP
Abstract
We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditions of so-called LaSalle type are of special interest. Moreover we put side condition properties of symmetric and partially symmetric equations in a wider context. In the final section we present an application to parameter-dependent systems, in particular to quasi-steady state for chemical reactions.
Keywords
Cite
@article{arxiv.1406.4111,
title = {Side conditions for ordinary differential equations},
author = {G. Cicogna and G. Gaeta and S. Walcher},
journal= {arXiv preprint arXiv:1406.4111},
year = {2014}
}
Comments
To appear in J. of Lie Theory