The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities

Cheresiz Vladimir M. and Volokitin Evgenii P.: The algebraic curves of planar polynomial differential systems with homogeneous nonlinearities. (2021)

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Abstract

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

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2021
Number: 51
ISSN: 1417-3875
Number of Pages: 12
Language: English
DOI: 10.14232/ejqtde.2021.1.51
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 11-12. ; összefoglalás angol nyelven
Date Deposited: 2021. Nov. 11. 07:32
Last Modified: 2021. Nov. 11. 07:32
URI: http://acta.bibl.u-szeged.hu/id/eprint/73703

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