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Discrete homoclinic orbits in a laser with feedback

Pisarchik1, Meucci, Arecchi

  • 1Centro de Investigaciones en Optica, Loma del Bosque No. 115, Lomas del Campestre, 37150, Leon, Guanajuanto, Mexico.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|January 4, 2001
PubMed
Summary

We experimentally demonstrate discrete homoclinic chaos in a laser with feedback. Chaotic regions exhibit exponential distribution related to Shilnikov chaos loops.

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Area of Science:

  • Nonlinear Dynamics
  • Laser Physics
  • Chaos Theory

Background:

  • Homoclinic chaos is a complex dynamical behavior observed in various systems.
  • Understanding its discrete nature is crucial for predicting system behavior.

Purpose of the Study:

  • To provide experimental evidence for the discrete nature of homoclinic chaos in a laser with feedback.
  • To characterize the distribution and origin of chaotic regions.

Main Methods:

  • Experimental investigation of a laser with feedback system.
  • Analysis of chaotic windows as a function of a control parameter.
  • Utilizing return maps of return times for characterization.

Main Results:

  • Experimental evidence confirming the discrete character of homoclinic chaos.

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  • Chaotic windows are found to be exponentially distributed with a control parameter.
  • The number of chaotic regions correlates with loops around the Shilnikov chaos saddle focus.

    • Conclusions:

    • The study confirms the discrete nature of homoclinic chaos in experimental laser systems.
    • Exponential distribution of chaotic windows provides a quantitative understanding of chaos.
    • Shilnikov chaos dynamics are directly linked to the observed chaotic regions.