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Spatial deterministic chaos in optical systems and methods of its modeling

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Abstract

The phenomenon of spatial deterministic chaos is described. A transition from an ordinary differential equation to a discrete map is justified for modeling of the chaos. Methods of studying the chaos dynamics in this model are suggested. It is established how the physical properties of a nonlinear ring interferometer influence the structure of charts of the Lyapunov exponents. The approaches developed in the present study allow an optical cryptosystem to be optimized.

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REFERENCES

  1. S. A. Akhmanov and M. A. Vorontsov, in: Nonlinear Waves: Dynamics and Evolution [in Russian], Nauka, Moscow (1989), pp. 228–237.

    Google Scholar 

  2. S. P. Kuznetsov, Dynamic Chaos: Course of Lectures [in Russian], Fizmatgiz, Moscow (2001).

    Google Scholar 

  3. A. A. Balyakin and N. M. Ryskin, Izv. Ross. Akad. Nauk, Ser. Fiz., 65, No.12, 1741–1744 (2001).

    Google Scholar 

  4. I. V. Izmailov, V. T. Kalaida, A. L. Magazinnikov, and B. N. Poizner, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelin. Dinam., 7, No.5, 47–59 (1999).

    Google Scholar 

  5. K. Ikeda, Opt. Commun., 30, No.2, 257–260 (1979).

    Article  Google Scholar 

  6. P. Berge, Y. Pomeau, and C. Vidal, L’Ordre dans Le Chaos. Vers une Approche Deterministe de La Turbulence, Hermann, Paris (1988).

    Google Scholar 

  7. I. V. Izmailov and B. N. Poizner, Opt. Atm. Okeana, 14, No.11, 1074–1086 (2001).

    CAS  Google Scholar 

  8. I. V. Izmailov, B. N. Poizner, and D. A. Shergin, Opt. Atm. Okeana, 17, Nos. 2–3, 127–132 (2004).

    Google Scholar 

  9. P. E. Denisov and I. V. Izmailov, in: Proc. 3rd Int. Conf. Young Scientists and Experts “ Optics-2003,” Saint Petersburg (2003), pp. 61–62.

  10. I. V. Izmailov, A. l. Magazinnikov, and B. N. Poizner, Izv. Vyssh. Uchebn. Zaved., Fiz., 2000, No. 2, 29–35 (2004).

  11. I. V. Izmailov, A. V. Lyachin, and B. N. Poizner, Vestn. TGU, Ser. Fiz., No. 278, 111–115 (2003).

  12. G. D. VanWiggeren and R. Roy, Int. J. Bifurcat. Chaos, 9, No.11, 2129–2156 (1999).

    Article  Google Scholar 

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 65–71, December, 2004.

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Izmailov, I.V., Poizner, B.N. & Shergin, D.A. Spatial deterministic chaos in optical systems and methods of its modeling. Russ Phys J 47, 1289–1296 (2004). https://doi.org/10.1007/s11182-005-0069-2

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  • DOI: https://doi.org/10.1007/s11182-005-0069-2

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