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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 2, Pages 28–44 (Mi vngu140)  
This article is cited in 4 scientific papers (total in 4 papers)

Singular Points and First Integrals of Holomorphic Dynamical Systems

E. P. Volokitinab, V. M. Cheresizab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (469 kB) Citations (4)
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Abstract: We study the complex system $\dot z=F(z)$ near the singular point which is a multiple zero or a pole of the function $F(z)$ on the phase plane. We consider trajectories of such systems at infinity. We construct first integrals of polynomial systems using the method of Darboux. We use our results to sketch phase portraits.
Keywords: nonhyperbolic singular points, separatrices, elliptic sectors, hyperbolic sectors, first integrals.
Received: 07.05.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 203, Issue 4, Pages 605–620
DOI: https://doi.org/10.1007/s10958-014-2162-y
Document Type: Article
UDC: 517.925
Language: Russian
Citation: E. P. Volokitin, V. M. Cheresiz, “Singular Points and First Integrals of Holomorphic Dynamical Systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:2 (2013), 28–44; J. Math. Sci., 203:4 (2014), 605–620
Citation in format AMSBIB
\Bibitem{VolChe13}
\by E.~P.~Volokitin, V.~M.~Cheresiz
\paper Singular Points and First Integrals of Holomorphic Dynamical Systems
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 2
\pages 28--44
\mathnet{http://mi.mathnet.ru/vngu140}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 4
\pages 605--620
\crossref{https://doi.org/10.1007/s10958-014-2162-y}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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