A Quasi Separable Dissipative Maxwell–Bloch System for Laser Dynamics

• Gorni, Gianluca ^[1] ; Residori, Stefania ^[2] ; Zampieri, Gaetano ^[3]
  1. [1] Università di Udine

     Università di Udine

     Udine, Italia

     
  2. [2] Université de Nice
  3. [3] Università di Verona

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 18, Nº 2, 2019, págs. 371-381
• Idioma: inglés
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• Resumen

  • The Maxwell–Bloch dissipative equations describe laser dynamics. Under a simple condition on the parameters there exist two time-dependent first integrals, that allow a nonstandard separation of variables in the equations. That condition has a precise physical meaning. The separated differential equations lead naturally to simple conjectures on the asymptotic behavior of the physical variables.