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On quadratic differential systems with equal reflecting functions

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Abstract

For a two-dimensional quadratic system, we obtain necessary conditions for the existence of a triangular quadratic system with the same Mironenko reflecting function as the original system. We suggest an algorithm that permits establishing the coincidence of the reflecting functions of a quadratic nonstationary system and some stationary system.

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References

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Authors and Affiliations

  1. Gomel Institute of Engineering, Gomel, Belarus

    V. A. Bel’skii

Authors
  1. V. A. Bel’skii
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Additional information

Original Russian Text © V.A. Bel’skii, 2013, published in Differentsial’nye Uravneniya, 2013, Vol. 49, No. 12, pp. 1682–1686.

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Bel’skii, V.A. On quadratic differential systems with equal reflecting functions. Diff Equat 49, 1639–1644 (2013). https://doi.org/10.1134/S0012266113120173

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  • DOI: https://doi.org/10.1134/S0012266113120173

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