Geodesic
Non-algebraic crossing limit cycle for discontinuous piecewise differential systems formed by a linear system without equilibrium points and quadratic isochronous centers at the origin
Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1.

Voir la notice de l'article provenant de la source Novi sad journal of mathematics website

The aim of this paper is devoted to study the maximum number of crossing limit cycles for discontinuous piecewise differential systems separated by one straight line $y=0$ and formed by a linear system without equilibrium points and quadratic isochronous centers. Under some suitable conditions, we prove that this class has at most one non algebraic crossing limit cycle explicitly given, and to illustrate our results we present an example.
Publié le :
DOI : 10.30755/NSJOM.13397
Classification : 34C25, 34A36, 34C07
Keywords: non-algebraic limit cycle, isochronous quadratic centers, discontinuous piecewise differential systems , first integrals 
@article{10.30755/NSJOM.13397,
     author = {Sabah Benadouane and Ahmed Bendjeddou and Aziza Berbache},
     title = {Non-algebraic crossing limit cycle for discontinuous piecewise
	differential systems formed by a linear system without equilibrium points
	and quadratic isochronous centers at the origin},
     journal = {Novi Sad Journal of Mathematics},
     pages = {67 - 74},
     publisher = {mathdoc},
     volume = {54},
     number = {1},
     year = {2024},
     doi = {10.30755/NSJOM.13397},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13397/}
}
TY  - JOUR
AU  - Sabah Benadouane
AU  - Ahmed Bendjeddou
AU  - Aziza Berbache
TI  - Non-algebraic crossing limit cycle for discontinuous piecewise
	differential systems formed by a linear system without equilibrium points
	and quadratic isochronous centers at the origin
JO  - Novi Sad Journal of Mathematics
PY  - 2024
SP  - 67 
EP  -  74
VL  - 54
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13397/
DO  - 10.30755/NSJOM.13397
ID  - 10.30755/NSJOM.13397
ER  - 
%0 Journal Article
%A Sabah Benadouane
%A Ahmed Bendjeddou
%A Aziza Berbache
%T Non-algebraic crossing limit cycle for discontinuous piecewise
	differential systems formed by a linear system without equilibrium points
	and quadratic isochronous centers at the origin
%J Novi Sad Journal of Mathematics
%D 2024
%P 67 - 74
%V 54
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13397/
%R 10.30755/NSJOM.13397
%F 10.30755/NSJOM.13397
Sabah Benadouane; Ahmed Bendjeddou; Aziza Berbache. Non-algebraic crossing limit cycle for discontinuous piecewise
	differential systems formed by a linear system without equilibrium points
	and quadratic isochronous centers at the origin. Novi Sad Journal of Mathematics, Tome 54 (2024) no. 1. doi : 10.30755/NSJOM.13397. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.13397/

Cité par Sources :