In this paper, we study the number of limit cycles of a new class of polynomial differential systems, which is an extended work of two families of differential systems in systems …
In this paper, we consider the limit cycles of a class of polynomial differential systems of the form x=− y, y= x− f (x)− g (x) y− h (x) y2− l (x) y3, where f (x)= ϵf1 (x)+ ϵ2f2 (x), g (x)= ϵg1 …
N Debz, A Boulfoul, A Berkane - Mem. Differ. Equ. Math. Phys, 2022 - emis.de
In this work, we study the number of limit cycles which can bifurcate from periodic orbits of the linear center x=− y, y= x of generalized polynomial Kukles systems of the form x=− y+ l …
N Debz, A Boulfoul, A Berkane - Mathematical Methods in the …, 2021 - Wiley Online Library
In this paper, we study the maximum number of limit cycles that can bifurcate from a linear center, when perturbed inside a class of planar polynomial differential systems of arbitrary …
We study the maximum number of limit cycles of the polynomial differential systems of the form ̇ x=-y+ l (x),\, ̇ y= xf (x)-g (x) yh (x) y^ 2-d_ 0 y^ 3, x˙=-y+ l (x), y˙= xf (x)-g (x) yh (x) y 2 …
I Zemmouri, A Menaceur, A Laouar… - … Differential Equations in …, 2024 - Elsevier
This paper focuses on investigating the maximum number of limit cycles bifurcating from the periodic orbits adapted to the cubic system given by x ̇= y− y x+ a 2, y ̇=− x+ x x+ a 2 …
This paper investigates the number of limit cycles which can bifurcate from the periodic orbits of the linear center..., when it is perturbed inside the class of all polynomial differential …
In this paper we study the limit cycles of two families of differential systems in the plane. These systems are obtained by polynomial perturbations with arbitrary degree on the …
Amor Menaceur and Salah Boulaaras* abstract: The main purpose of this paper is to study the number of limit cycles of sextic polynomial differential systems (SPDS) via the averaging …