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Algebraic limit cycles of planar cubic systems. / Volokitin, E. P.; Cheresiz, V. M.

In: Siberian Electronic Mathematical Reports, Vol. 17, 2020, p. 2045-2054.

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

Harvard

Volokitin, EP & Cheresiz, VM 2020, 'Algebraic limit cycles of planar cubic systems', Siberian Electronic Mathematical Reports, vol. 17, pp. 2045-2054. https://doi.org/10.33048/semi.2020.17.136

APA

Volokitin, E. P., & Cheresiz, V. M. (2020). Algebraic limit cycles of planar cubic systems. Siberian Electronic Mathematical Reports, 17, 2045-2054. https://doi.org/10.33048/semi.2020.17.136

Vancouver

Volokitin EP, Cheresiz VM. Algebraic limit cycles of planar cubic systems. Siberian Electronic Mathematical Reports. 2020;17:2045-2054. doi: 10.33048/semi.2020.17.136

Author

Volokitin, E. P. ; Cheresiz, V. M. / Algebraic limit cycles of planar cubic systems. In: Siberian Electronic Mathematical Reports. 2020 ; Vol. 17. pp. 2045-2054.

BibTeX

@article{7ef0024bc5ca4725bede73b03e023a21,
title = "Algebraic limit cycles of planar cubic systems",
abstract = "We study algebraic limit cycles of differential systems of the form ẋ = x + P3(x; y); ẏ = y + Q3(x; y) where P3(x; y) and Q3(x; y) are homogeneous cubic polynomials.",
keywords = "algebraic limit cycles, non-algebraic limit cycles, phase portraits, polynomial systems",
author = "Volokitin, {E. P.} and Cheresiz, {V. M.}",
note = "Funding Information: Volokitin, E.P., Cheresiz, V.M., The algebraic limit cycles of planar cubic systems. {\textcopyright} 2020 Volokitin E.P., Cheresiz V.M. The work is partially supported by RFBR (Grant 18-01-00057). The work was carried out within the state assignment for Sobolev Institute of Mathematics SB RAS (projects 0314-2019-0007, 0314-2019-0010) . Received October, 27, 2020, published December, 10, 2020.",
year = "2020",
doi = "10.33048/semi.2020.17.136",
language = "English",
volume = "17",
pages = "2045--2054",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",

}

RIS

TY - JOUR

T1 - Algebraic limit cycles of planar cubic systems

AU - Volokitin, E. P.

AU - Cheresiz, V. M.

N1 - Funding Information: Volokitin, E.P., Cheresiz, V.M., The algebraic limit cycles of planar cubic systems. © 2020 Volokitin E.P., Cheresiz V.M. The work is partially supported by RFBR (Grant 18-01-00057). The work was carried out within the state assignment for Sobolev Institute of Mathematics SB RAS (projects 0314-2019-0007, 0314-2019-0010) . Received October, 27, 2020, published December, 10, 2020.

PY - 2020

Y1 - 2020

N2 - We study algebraic limit cycles of differential systems of the form ẋ = x + P3(x; y); ẏ = y + Q3(x; y) where P3(x; y) and Q3(x; y) are homogeneous cubic polynomials.

AB - We study algebraic limit cycles of differential systems of the form ẋ = x + P3(x; y); ẏ = y + Q3(x; y) where P3(x; y) and Q3(x; y) are homogeneous cubic polynomials.

KW - algebraic limit cycles

KW - non-algebraic limit cycles

KW - phase portraits

KW - polynomial systems

UR - http://www.scopus.com/inward/record.url?scp=85099243215&partnerID=8YFLogxK

U2 - 10.33048/semi.2020.17.136

DO - 10.33048/semi.2020.17.136

M3 - Article

AN - SCOPUS:85099243215

VL - 17

SP - 2045

EP - 2054

JO - Сибирские электронные математические известия

JF - Сибирские электронные математические известия

SN - 1813-3304

ER -

ID: 27436572