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This article is cited in 2 scientific papers (total in 2 papers)
Differentical equations, dynamical systems and optimal control
Dynamics of the cubic Darboux systems
E. P. Volokitinab, V. M. Cheresiza a Sobolev Institute of Mathematics,
4 Acad. Koptyug avenue,
630090 Novosibirsk Russia
b Novosibirsk State University,
2 Pirogova Str.,
630090 Novosibirsk Russia
Abstract:
We study the local and global behavior of the trajectories of the differential systems of the form $\dot x= x+p_3(x,y), \ \dot y=y+q_3(x,y)$ where $p_3(x,y), q_3(x,y)$ are relatively prime homogeneous cubic polynomials.
Keywords:
polynomial systems, singular points,
Poincaré equator, phase portraits.
Received July 7, 2017, published September 14, 2017
Citation:
E. P. Volokitin, V. M. Cheresiz, “Dynamics of the cubic Darboux systems”, Sib. Èlektron. Mat. Izv., 14 (2017), 889–902
Linking options:
https://www.mathnet.ru/eng/semr832 https://www.mathnet.ru/eng/semr/v14/p889
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Abstract page: | 137 | Full-text PDF : | 35 | References: | 30 |
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