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Oscillations of a Magnetized Plasma in a Waveguide of Complicated Shape

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Abstract

Potential hybrid oscillations in a resonator of arbitrary shape are investigated theoretically. It is shown that, for a periodic waveguide, the frequency dependence of the wavenumber is represented by a fractal curve of the “devil’s staircase” type.

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References

  1. W. R. Lou, Y. Carmel, T. M. Antonsen, et al., Phys. Rev. Lett. 67, 2481 (1991).

    Article  ADS  Google Scholar 

  2. B. B. Kadomtsev, Collective Phenomena in a Plasma (Nauka, Moscow, 1988).

    Google Scholar 

  3. A. Z. Gusakov and A. D. Piliya, Pis’ma Zh. Éksp. Teor. Fiz. 48, 75 (1988) [JETPLett. 48, 75 (1988)].

    Google Scholar 

  4. J. M. Ziman, Principles of the Theory of Solids (Cambridge Univ. Press, London, 1972; Mir, Moscow, 1974).

    Book  Google Scholar 

  5. A. M. Ignatov, Phys. Rev. E 51, 1391 (1995).

    ADS  Google Scholar 

  6. M. Quilichini and T. Janssen, Rev. Mod. Phys. 69, 277 (1997).

    Article  ADS  Google Scholar 

  7. G. I. Zaginaylov, A. A. Rozhkov, and J.-Y. Raguin, Phys. Rev. E 60, 7391 (1999).

    ADS  Google Scholar 

  8. G. I. Zaginaylov, Phys. Rev. E 64, 016406 (2001).

    Google Scholar 

  9. Yu. A. Volkov and V. B. Krasovitskiĭ, Preprint No. 52 (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 2001).

  10. M. A. Lavrent’ev and B. V. Shabat, Problems in Hydrodynamics and Their Mathematical Models (Nauka, Moscow, 1977).

    Google Scholar 

  11. V. I. Arnol’d, Supplementary Chapters of the Theory of Ordinary Differential Equations (Nauka, Moscow, 1978).

    MATH  Google Scholar 

  12. N. V. Butenin, Yu. I. Neĭmark, and N. A. Fufaev, Introduction to the Theory of Nonlinear Oscillations (Nauka, Moscow, 1987).

    MATH  Google Scholar 

  13. R. de la Llave and N. P. Petrov, Phys. Rev. E 59, 6637 (1999).

    ADS  Google Scholar 

  14. E. M. Lifshitz and L. P. Pitaevskiĭ, Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981).

    Google Scholar 

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Ignatov, A.M. Oscillations of a Magnetized Plasma in a Waveguide of Complicated Shape. Plasma Phys. Rep. 28, 572–579 (2002). https://doi.org/10.1134/1.1494055

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  • DOI: https://doi.org/10.1134/1.1494055

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