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Localization of the attractor of the differential equations for the solar wind-magnetosphere-ionosphere model

Doklady Physics volume 55, pages 471–473 (2010)Cite this article

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References

  1. W. Horton, R. S. Weigel, and J. C. Sprott, Phys. Plasmas 8(6), 2946–2952 (2001).

    Article  ADS  Google Scholar 

  2. E. Spencer, W. Horton, and I. Doxas, J. Adv. Space Res. 38(Iss. 8), 1657 (2006).

    Article  ADS  Google Scholar 

  3. G. A. Leonov, I. M. Burkin, and A. I. Shepeljavyi, Frequency Methods in Oscillation Theory (Kluwer, London, 1996).

    MATH  Google Scholar 

  4. G. A. Leonov, D. V. Ponomarenko, and V. B. Smirnova, Frequency-Domain Methods for Nonlinear Analysis. Theory and Applications (World Sci., Singapore, 1996).

    MATH  Book  Google Scholar 

  5. G. A. Leonov, Automat. and Remote Control 67(10), 1573–1609 (2006).

    MATH  Article  MathSciNet  Google Scholar 

  6. V. A. Yakubovich, G. A. Leonov, and A. Kh. Gelig, Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities (World Sci., Singapore, 2004).

    MATH  Google Scholar 

  7. L. Cesari, Asymptotic Behavior and Stability Problems in Ordinary Differential Equations (Springer, Berlin, 1959).

    MATH  Google Scholar 

  8. G. A. Leonov, Mathematical Problems of Control Theory. An Introduction (World Sci., Singapore, 2001).

    MATH  Book  Google Scholar 

  9. G. A. Leonov and N. V. Kuznetsov, J. Bifurcat. and Chaos 17(4), 1079–1107 (2007).

    MATH  Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, St. Petersburg, 198504, Russia

    G. A. Leonov, N. V. Kuznetsov & S. M. Seledzhi

  2. Center for Research and Development of Technologies in Digital Systems, Av. del Parque 1310, Mesa de Otay, Tijuana, BC, Mexico

    K. E. Starkov

Authors
  1. G. A. Leonov
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  2. N. V. Kuznetsov
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  3. S. M. Seledzhi
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  4. K. E. Starkov
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Corresponding author

Correspondence to N. V. Kuznetsov.

Additional information

Original Russian Text © G.A. Leonov, N.V. Kuznetsov, S.M. Seledzhi, and K.E. Starkov, 2010, published in Doklady Akademii Nauk, 2010, Vol. 434, No. 3, pp. 342–343.

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Leonov, G.A., Kuznetsov, N.V., Seledzhi, S.M. et al. Localization of the attractor of the differential equations for the solar wind-magnetosphere-ionosphere model. Dokl. Phys. 55, 471–473 (2010). https://doi.org/10.1134/S1028335810090120

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  • DOI: https://doi.org/10.1134/S1028335810090120

Keywords

  • Solar Wind
  • Geomagnetic Storm
  • DOKLADY Physic
  • Negative Real Part
  • Ionosphere Model