Dynamics of the cubic Darboux systems

Volokitin Evgenii Pavlovich; Cheresiz Vladimir Mikhaiĭlovich

doi:10.17377/semi.2017.14.075

Dynamics of the cubic Darboux systems

Volokitin Evgenii Pavlovich, Cheresiz Vladimir Mikhaiĭlovich

Higher Mathematics Section

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We study the local and global behavior of the trajectories of the differential systems of the form x˙ = x+p₃(x, y), y˙ = y+q₃(x, y) where p₃(x, y), q₃(x, y) are relatively prime homogeneous cubic polynomials.

Translated title of the contribution	Динамика кубических систем типа Дарбу
Original language	English
Pages (from-to)	889-902
Number of pages	14
Journal	Сибирские электронные математические известия
Volume	14
DOIs	https://doi.org/10.17377/semi.2017.14.075
Publication status	Published - 1 Jan 2017

Keywords

polynomial systems
singular points
Poincare equator
phase portraits

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abstract = "We study the local and global behavior of the trajectories of the differential systems of the form x˙ = x+p3(x, y), y˙ = y+q3(x, y) where p3(x, y), q3(x, y) are relatively prime homogeneous cubic polynomials.",

keywords = "Phase portraits, Poincar{\'e} equator, Polynomial systems, Singular points, polynomial systems, singular points, Poincare equator, phase portraits",

author = "Pavlovich, {Volokitin Evgenii} and Mikhaiĭlovich, {Cheresiz Vladimir}",

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AB - We study the local and global behavior of the trajectories of the differential systems of the form x˙ = x+p3(x, y), y˙ = y+q3(x, y) where p3(x, y), q3(x, y) are relatively prime homogeneous cubic polynomials.

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KW - Poincaré equator

KW - Polynomial systems

KW - Singular points

KW - polynomial systems

KW - singular points

KW - Poincare equator

KW - phase portraits

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JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

Dynamics of the cubic Darboux systems

Abstract

Keywords

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