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Approximate solutions of Maxwell Bloch equations and possible Lotka Volterra type behavior

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Abstract

Dynamical properties of laser models based on the Maxwell Bloch equation are studied. Instances of stability and chaotic behavior are investigated. Special solutions of the system one of which reduces to the Lotka Volterra system under simplifying assumptions are derived. Reasons for the absence of oscillating solutions in the modified systems are studied.

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Authors and Affiliations

  1. Department of Physics, Yeditepe University, Istanbul, Turkey

    A. S. Hacinliyan

  2. Department of Information Systems and Technologies, Yeditepe University, Istanbul, Turkey

    A. S. Hacinliyan, I. Kusbeyzi & O. O. Aybar

  3. Department of Mathematics, Gebze Institute of Technology, Kocaeli, Turkey

    A. S. Hacinliyan, I. Kusbeyzi & O. O. Aybar

Authors
  1. A. S. Hacinliyan
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  2. I. Kusbeyzi
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  3. O. O. Aybar
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Correspondence to A. S. Hacinliyan.

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Hacinliyan, A.S., Kusbeyzi, I. & Aybar, O.O. Approximate solutions of Maxwell Bloch equations and possible Lotka Volterra type behavior. Nonlinear Dyn 62, 17–26 (2010). https://doi.org/10.1007/s11071-010-9695-5

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  • DOI: https://doi.org/10.1007/s11071-010-9695-5

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