Lorenz-Haken dynamics-analytical framework: from symmetric to asymmetric trajectories

摘要

This paper aims at revisiting the three-dimensional Lorenz-Haken model from an analytical point of view, proposing a few forthright solutions to the singular dynamics that take place under unstable conditions. Such a viewpoint pulls-out the basic mechanisms, which implicitly structure the nonlinear aspects of light-matter interactions. These fundamental features essentially involve some locking phenomena between typical Eigen-frequencies associated with the interacting variables. Our approach straightforwardly endorses closed-form solutions of typical pulse-trains, extracted from careful examinations of the Lorenz-Haken equations, along with the signatures that embed their nonlinear-coupling nature.