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Existence of a complex closed trajectory in a three-dimensional dynamical system

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Abstract

The DN-tracking method is used to prove the existence of a closed trajectory in a quadratic system of ordinary differential equations in three dimensions.

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Authors and Affiliations

  1. Institute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, ul. Durmon iuli 29, Tashkent, 100125, Uzbekistan

    A. A. Azamov & O. S. Akhmedov

Authors
  1. A. A. Azamov
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  2. O. S. Akhmedov
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Correspondence to A. A. Azamov.

Additional information

Original Russian Text © A.A. Azamov, O.S. Akhmedov, 2011, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2011, Vol. 51, No. 8, pp. 1449–1456.

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Azamov, A.A., Akhmedov, O.S. Existence of a complex closed trajectory in a three-dimensional dynamical system. Comput. Math. and Math. Phys. 51, 1353–1359 (2011). https://doi.org/10.1134/S0965542511080033

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