On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control
Mathematical Physics
2014-02-25 v1 math.MP
Abstract
In this paper, we analyze the stability of the real-valued Maxwell-Bloch equations with a control that depends on state variables quadratically. We also investigate the topological properties of the energy-Casimir map, as well as the existence of periodic orbits and explicitly construct the heteroclinic orbits.
Keywords
Cite
@article{arxiv.1402.5942,
title = {On some dynamical and geometrical properties of the Maxwell-Bloch equations with a quadratic control},
author = {Tudor Binzar and Cristian Lazureanu},
journal= {arXiv preprint arXiv:1402.5942},
year = {2014}
}