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Negative solution of the Kalman problem and proof of the existence of a hidden strange attractor via a discontinuous approximation method

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Abstract

A discontinuous approximation method is described, which can be used to construct counterexamples to the Kalman conjecture.

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Authors and Affiliations

  1. Faculty of Mathematics and Mechanics, St. Petersburg State University, Peterhof, St. Petersburg, 198504, Russia

    G. A. Leonov & R. N. Mokaev

  2. Institute of Problems of Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, 199178, Russia

    G. A. Leonov & R. N. Mokaev

Authors
  1. G. A. Leonov
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  2. R. N. Mokaev
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Correspondence to G. A. Leonov.

Additional information

Original Russian Text © G.A. Leonov, R.N. Mokaev, 2017, published in Doklady Akademii Nauk, 2017, Vol. 475, No. 3, pp. 257–261.

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Leonov, G.A., Mokaev, R.N. Negative solution of the Kalman problem and proof of the existence of a hidden strange attractor via a discontinuous approximation method. Dokl. Math. 96, 415–418 (2017). https://doi.org/10.1134/S1064562417040111

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  • DOI: https://doi.org/10.1134/S1064562417040111

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