Complicated basins in external-cavity semiconductor lasers

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Abstract

We demonstrate that complicated basins of attraction can occur in time-delay coupled, external-cavity semiconductor lasers. In particular, we find that there can be multiple coexisting attractors associated with low-frequency fluctuations in the laser power output, and prediction of the asymptotic attractor for specific initial conditions is practically impossible.

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Acknowledgements

This work is supported by AFOSR under Grant No. F49620-98-1-0400.

References (27)

  • C. Grebogi et al.

    Phys. Lett. A

    (1983)
    C. Grebogi et al.

    Phys. Rev. Lett.

    (1983)
  • E. Ott et al.

    Physica D

    (1994)
  • J.F. Heagy et al.

    Phys. Rev. Lett.

    (1994)
  • P. Ashwin et al.

    Phys. Lett. A

    (1994)
    P. Ashwin et al.

    Nonlinearity

    (1996)
    H. Nakajima et al.

    Physica D

    (1996)
    L. Billings et al.

    Phys. Rev. Lett.

    (1997)
    K. Kaneko

    Phys. Rev. Lett.

    (1997)
    Y.L. Maistrenko et al.

    Phys. Rev. E

    (1998)
    T. Kapitaniak et al.

    Phys. Rev. E

    (1998)
    M. Woltering et al.

    Phys. Rev. Lett.

    (2000)
  • S. Wieczorek et al.

    Opt. Commun.

    (1999)
  • R.L. Davidchack et al.

    Physica D

    (2000)
    R.L. Davidchack et al.

    Phys. Rev. E

    (2001)
  • F.T. Arecchi et al.

    Phys. Rev. A

    (1984)
    F.T. Arecchi et al.

    Phys. Lett. A

    (1986)
  • F.C. Moon

    Phys. Rev. Lett.

    (1984)
    F.C. Moon et al.

    Phys. Rev. Lett.

    (1985)
  • S.W. McDonald et al.

    Physica D

    (1985)
    C. Grebogi et al.

    Physica D

    (1987)
  • E.G. Gwinn et al.

    Phys. Rev. A

    (1986)
  • J.C. Alexander et al.

    Int. J. Bifurc. Chaos

    (1992)
  • Y.-C. Lai et al.

    Phys. Rev. Lett.

    (1994)
  • Y.-C. Lai et al.

    Phys. Rev. E

    (1995)
    Y.-C. Lai et al.

    Phys. Rev. Lett.

    (1996)
    Y.-C. Lai et al.

    Phys. Rev. Lett.

    (1996)
    Y.-C. Lai

    Phys. Rev. E

    (1997)
    Y.-C. Lai et al.

    Phys. Rev. Lett.

    (1999)
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