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Nonlinear dynamics of modulation instability in distributed resonators under external harmonic driving

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Abstract

We study the regimes of complex field dynamics upon modulation instability in distributed nonlinear resonators under external harmonic driving. Two regimes are considered: the regime of a nonlinear ring cavity, described by nonlinear Schrödinger equation (NLS) with a delayed boundary condition, and the regime of a one-dimensional Fabri-Perot cavity, described by a system of coupled NLS for the forward and backward waves. Theoretical stability analysis of stationary forced oscillations is carried out. The results of numerical simulation of transition to chaos with increasing input intensity are presented.

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Authors and Affiliations

  1. Saratov State University, Saratov, Russia

    A. A. Balyakin, N. M. Ryskin & O. S. Khavroshin

Authors
  1. A. A. Balyakin
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  2. N. M. Ryskin
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  3. O. S. Khavroshin
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Correspondence to N. M. Ryskin.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 50, No. 9, pp. 800–820, September 2007.

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Balyakin, A.A., Ryskin, N.M. & Khavroshin, O.S. Nonlinear dynamics of modulation instability in distributed resonators under external harmonic driving. Radiophys Quantum El 50, 726–744 (2007). https://doi.org/10.1007/s11141-007-0064-2

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  • DOI: https://doi.org/10.1007/s11141-007-0064-2

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