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