Siberian Federal University 
- Supplementary material
- Application 1 (.pdf, 150 KB)Application 2 (.pdf, 150 KB)
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2019 12 (2)
- Authors
- Bendjeddou, Ahmed; Berbache, Aziza; Kina, Abdelkrim
- Contact information
- Bendjeddou, Ahmed: Department of Mathematics University of Setif, 19 000 Algeria; ; Berbache, Aziza: Department of Mathematics University of Bordj Bou Arr´eridj, 34265 Algeria; ; Kina, Abdelkrim: Department of Mathematics University of Setif, 19 000 Algeria;
- Keywords
- limit cycles; averaging theory; Li´enard differential systems
- Abstract
In this paper, we consider the limit cycles of a class of polynomial differential systems of the form { x_ = y "(g11 (x) y2 +1 + f11 (x) y2 ) "2(g12 (x) y2 +1 + f12 (x) y2 ); y_ = x "(g21 (x) y2 +1 + f21 (x) y2) "2(g22 (x) y2 +1 + f22 (x) y2 ); where m; n; k; l and are positive integers, g1 , g2 ; f1 and f2 have degree n; m; l and k, respectively for each = 1; 2, and " is a small parameter. We obtain the maximum number of limit cycles that bifurcate from the periodic orbits of the linear center x_ = y; y_ = x using the averaging theory of first and second order
- Pages
- 145–159
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/109997
Journal of Siberian Federal University. Mathematics & Physics / Limit Cycles for a Class of Polynomial Differential Systems Via Averaging Theory
Full text (.pdf)