Equivalence of energy methods in stability theory
Dynamical Systems
2009-11-11 v3 Mathematical Physics
math.MP
Abstract
We will prove the equivalence of three methods, the so called energy methods, for establishing the stability of an equilibrium point for a dynamical system. We will illustrate by examples that this result simplifies enormously the amount of computations especially when the stability can not be decided with one of the three methods.
Cite
@article{arxiv.math/0601465,
title = {Equivalence of energy methods in stability theory},
author = {Petre Birtea and Mircea Puta},
journal= {arXiv preprint arXiv:math/0601465},
year = {2009}
}
Comments
10 pages, no figures, minnor corrections