New Parametric Approach for the General Lorenz System
Chaotic Dynamics
2014-05-13 v2 Mathematical Physics
math.MP
Abstract
We are concerned with the study of the system of coupled equations of motion for a system of two-level atoms interacting with a single-mode field in the laser cavity on resonance. The passage from the equation of motion to the Lorenz equations is established. Some theoretical aspects of the slowly time -varying phenomena in cavities are discussed and the linear stability analysis is presented. A new approach to solve this nonlinear coupled differential equations is explored and its generalization to the case of variable coefficients is performed.
Cite
@article{arxiv.1309.5807,
title = {New Parametric Approach for the General Lorenz System},
author = {Lazhar Bougoffa and Smail Bougouffa},
journal= {arXiv preprint arXiv:1309.5807},
year = {2014}
}
Comments
14 pages