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The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities. / Cheresiz, Vladimir M.; Volokitin, Evgenii P.

In: Electronic Journal of Qualitative Theory of Differential Equations, Vol. 2021, 51, 2021.

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Harvard

Cheresiz, VM & Volokitin, EP 2021, 'The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities', Electronic Journal of Qualitative Theory of Differential Equations, vol. 2021, 51. https://doi.org/10.14232/EJQTDE.2021.1.51

APA

Cheresiz, V. M., & Volokitin, E. P. (2021). The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities. Electronic Journal of Qualitative Theory of Differential Equations, 2021, [51]. https://doi.org/10.14232/EJQTDE.2021.1.51

Vancouver

Cheresiz VM, Volokitin EP. The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities. Electronic Journal of Qualitative Theory of Differential Equations. 2021;2021:51. doi: 10.14232/EJQTDE.2021.1.51

Author

Cheresiz, Vladimir M. ; Volokitin, Evgenii P. / The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities. In: Electronic Journal of Qualitative Theory of Differential Equations. 2021 ; Vol. 2021.

BibTeX

@article{8aba28b549c946c9b20e70d22c0ac42d,
title = "The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities",
abstract = "We consider planar polynomial systems of ordinary differential equations of the form ẋ=x+Pn (x, y), ẏ=y+Qn (x, y), where Pn (x, y), Qn (x, y) are homogeneous polynomials of degree n. We study the algebraic and non-algebraic invariant curves of these systems with emphasis on limit cycles.",
keywords = "Algebraic limit cycles, Polynomial systems",
author = "Cheresiz, {Vladimir M.} and Volokitin, {Evgenii P.}",
note = "Funding Information: V. M. Cheresiz carried out research within the framework of the state contract of Sobolev Institute of Mathematics (project no. 0314-2019-0010). E. P. Volokitin carried out research within the framework of the state contract of Sobolev Institute of Mathematics (project no. 0314-2019-0007). Publisher Copyright: {\textcopyright} 2021, University of Szeged. All rights reserved.",
year = "2021",
doi = "10.14232/EJQTDE.2021.1.51",
language = "English",
volume = "2021",
journal = "Electronic Journal of Qualitative Theory of Differential Equations",
issn = "1417-3875",
publisher = "University of Szeged",

}

RIS

TY - JOUR

T1 - The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

AU - Cheresiz, Vladimir M.

AU - Volokitin, Evgenii P.

N1 - Funding Information: V. M. Cheresiz carried out research within the framework of the state contract of Sobolev Institute of Mathematics (project no. 0314-2019-0010). E. P. Volokitin carried out research within the framework of the state contract of Sobolev Institute of Mathematics (project no. 0314-2019-0007). Publisher Copyright: © 2021, University of Szeged. All rights reserved.

PY - 2021

Y1 - 2021

N2 - We consider planar polynomial systems of ordinary differential equations of the form ẋ=x+Pn (x, y), ẏ=y+Qn (x, y), where Pn (x, y), Qn (x, y) are homogeneous polynomials of degree n. We study the algebraic and non-algebraic invariant curves of these systems with emphasis on limit cycles.

AB - We consider planar polynomial systems of ordinary differential equations of the form ẋ=x+Pn (x, y), ẏ=y+Qn (x, y), where Pn (x, y), Qn (x, y) are homogeneous polynomials of degree n. We study the algebraic and non-algebraic invariant curves of these systems with emphasis on limit cycles.

KW - Algebraic limit cycles

KW - Polynomial systems

UR - http://www.scopus.com/inward/record.url?scp=85112318986&partnerID=8YFLogxK

U2 - 10.14232/EJQTDE.2021.1.51

DO - 10.14232/EJQTDE.2021.1.51

M3 - Article

AN - SCOPUS:85112318986

VL - 2021

JO - Electronic Journal of Qualitative Theory of Differential Equations

JF - Electronic Journal of Qualitative Theory of Differential Equations

SN - 1417-3875

M1 - 51

ER -

ID: 34108031