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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 494–507
(Mi semr504)
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This article is cited in 1 scientific paper (total in 1 paper)
Differentical equations, dynamical systems and optimal control
Unbounded solutions of the polynomial Cauchy–Riemann systems
E. P. Volokitinab a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Abstract:
We study the behavior of the trajectories of the Cauchy–Riemann polynomial differential systems at infinity. We use our results to construct the phase portraits for some special cases.
Keywords:
singular points at infinity, Poincaré equator, separarices, polynomial first integrals.
Received February 26, 2014, published June 26, 2014
Citation:
E. P. Volokitin, “Unbounded solutions of the polynomial Cauchy–Riemann systems”, Sib. Èlektron. Mat. Izv., 11 (2014), 494–507
Linking options:
https://www.mathnet.ru/eng/semr504 https://www.mathnet.ru/eng/semr/v11/p494
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Abstract page: | 282 | Full-text PDF : | 76 | References: | 56 |
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