Rotating Unstable Langevin-Type Dynamics and Nonlinear Effects

  • J. I. Jiménez-Aquino
  • M. Romero-Bastida


In this work we propose how to characterize nonlinear rotating unstable systems with a Langevin-type dynamics in the presence of a constant external force, through the Passage Time Distribution (PTD). Although the rotating Langevin-type equation is proposed in two dynamical representations x and y, being y the transformed space of coordinates by means of a time-dependent rotation matrix, the study is basically given in the space of coordinates y.A laser system in the presence of an external injected signal is considered as a prototype system, which admits a description in terms of two variables.


Stochastic process passage time distribution laser field 


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  1. [1]
    J.I. Jiménez-Aquino and M. R. Romero-Bastida, Phys. Rev. E64 (2001) 050102.ADSGoogle Scholar
  2. [2]
    J. Casademunt, J. I. Jiménez-Aquino, and J. M.Sancho, Phys. Rev. A40 (1989) 5905.ADSGoogle Scholar
  3. [3]
    F. de Pascuale, J. M. Sancho, M. San Miguel and P. Tartaglia, Phys. Rev. Lett. 56 (1986) 2473.ADSCrossRefGoogle Scholar
  4. [4]
    S. Balle, F. de Pasquale and M. San Miguel, Phys. Rev. A41 (1990) 5012.ADSGoogle Scholar
  5. [5]
    J. Dellunde, J. M. Sancho and M. San Miguel, Opt. Comm 39 (1994) 435.ADSCrossRefGoogle Scholar
  6. [6]
    J. I. Jiménez-Aquino and J. M. Sancho, Phys. Rev. E47 (1993) 1558.ADSGoogle Scholar
  7. [7]
    G. Vemuri and R. Roy, Optics. Comm. 77 (1990) 318.ADSCrossRefGoogle Scholar
  8. [8]
    E. Piña, Dinámica de Rotaciones, (Universidad Autónoma Metropolitana, México, 1996) (in Spanish).Google Scholar

Copyright information

© Springer Science+Business Media New York 2003

Authors and Affiliations

  • J. I. Jiménez-Aquino
    • 1
  • M. Romero-Bastida
    • 1
  1. 1.Departamento de FísicaUniversidad Autónoma Metropolitana, Iztapalapa ApdoMéxicoMéxico

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