Abstract
We find conditions for a singular point O(0, 0) of a center or a focus type to be a center,
in a cubic differential system with one irreducible invariant cubic. The presence of a center at O(0, 0) is proved by constructing integrating factors.
Publisher
Yuriy Fedkovych Chernivtsi National University
Subject
Computer Science Applications,History,Education
Reference12 articles.
1. Amel’kin V. V., Lukashevich N. A., Sadovskii A. P. Non-linear oscillations in the systems of second order. Belarusian University Press, Belarus, 1982 (in Russian).
2. Cozma D. The problem of the center for cubic systems with two parallel invariant straight lines and one invariant conic. Nonlinear Differ. Equ. and Appl., 2009, 16, 213–234.
3. Cozma D. Integrability of cubic systems with invariant straight lines and invariant conics. Stiinta, Chisёina˘u, 2013.
4. Cozma D., Darboux integrability and rational reversibility in cubic systems with two invariant straight lines. Electronic Journal of Differential Equations, 2013, 2013 (23), 1–19.
5. Cozma D., Dascalescu A. Integrability conditions for a class of cubic differential systems with a bundle of two invariant straight lines and one invariant cubic. Buletinul Academiei de Stiinte a Republicii Moldova. Matematica, 2018, 86 (1), 120–138.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献