|
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
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
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
Linking options:
https://www.mathnet.ru/eng/vngu140 https://www.mathnet.ru/eng/vngu/v13/i2/p28
|
Statistics & downloads: |
Abstract page: | 151 | Full-text PDF : | 39 | References: | 33 | First page: | 8 |
|