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Noise-induced resonance in delayed feedback systems.

C Masoller1

  • 1Instituto de Física, Facultad de Ciencias, Universidad de la República, Igua 4225, Montevideo 11400, Uruguay.

Physical Review Letters
|January 22, 2002
PubMed
Summary

Noise-induced jumps between coexisting attractors in a laser with optical feedback show resonant behavior. This phenomenon arises from the interplay of noise and delayed feedback, and is not limited to specific model equations.

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Area of Science:

  • Nonlinear dynamics
  • Laser physics
  • Optical engineering

Background:

  • Lasers with optical feedback can exhibit complex dynamics, including the coexistence of multiple stable states (attractors).
  • External noise can influence the transitions between these coexisting attractors.

Purpose of the Study:

  • To investigate the influence of noise on the dynamics of a laser with optical feedback.
  • To analyze the phenomenon of attractor jumping induced by noise.
  • To explore the resonant behavior of attractor jumping and its underlying mechanisms.

Main Methods:

  • Numerical simulations of a laser model with optical feedback.
  • Analysis of residence time probability density to characterize attractor jumping.
  • Investigation of the interplay between noise intensity and feedback delay.

Main Results:

  • Coexistence of multiple attractors was confirmed for specific feedback parameters.
  • Sufficiently large noise levels induce jumps among these coexisting attractors.
  • A resonant behavior in attractor jumping dynamics was observed as noise intensity increased.
  • This resonant behavior is attributed to the combined effects of noise and delayed optical feedback.

Conclusions:

  • The study reveals a noise-induced resonant phenomenon in attractor jumping for lasers with optical feedback.
  • This resonance is a consequence of the complex interplay between noise and delayed feedback.
  • The observed resonance is a general feature of delay differential equations, not specific to the laser model used.

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