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arXiv · 1309.5807

New Parametric Approach for the General Lorenz System

Lazhar Bougoffa·Smail Bougouffa
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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.

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Lazhar Bougoffa, Smail Bougouffa. 2014-05-11. New Parametric Approach for the General Lorenz System. https://doi.org/10.1088/0031-8949%2F89%2F7%2F075203

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