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

Meziane, Belkacem

Physica scripta, 2019-12, Vol.94 (12), p.125217 [Periódico revisado por pares]

IOP Publishing

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  • Título:
    Lorenz-Haken dynamics-analytical framework: from symmetric to asymmetric trajectories
  • Autor: Meziane, Belkacem
  • Assuntos: fluid turbulence ; instabilities and chaos ; laser theory ; Lorenz equations ; Mathematical Physics ; nonlinear dynamics ; Physics
  • É parte de: Physica scripta, 2019-12, Vol.94 (12), p.125217
  • Notas: PHYSSCR-108532.R3
  • Descrição: 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.
  • Editor: IOP Publishing
  • Idioma: Inglês

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