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Singular Points and First Integrals of Holomorphic Dynamical Systems

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We study the complex system ż = F(z) in a neighborhood of a singular point that is a multiple zero or a pole of the function F(z) on the phase plane. We consider trajectories at infinity and construct first integrals of polynomial systems by the Darboux method.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics SB RAS, 4, pr. Akad. Koptyuga, Novosibirsk, 630090, Russia

    E. P. Volokitin & V. M. Cheresiz

  2. Novosibirsk State University, 2, ul. Pirogova, Novosibirsk, 630090, Russia

    E. P. Volokitin & V. M. Cheresiz

Authors
  1. E. P. Volokitin
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  2. V. M. Cheresiz
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Correspondence to E. P. Volokitin.

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Translated from Vestnik Novosibirskogo Gosudarstvennogo Universiteta: Seriya Matematika, Mekhanika, Informatika 13, No. 2, 2013, pp. 28–44.

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Volokitin, E.P., Cheresiz, V.M. Singular Points and First Integrals of Holomorphic Dynamical Systems. J Math Sci 203, 605–620 (2014). https://doi.org/10.1007/s10958-014-2162-y

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  • DOI: https://doi.org/10.1007/s10958-014-2162-y

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