Limit Cycles of a Class of Perturbed Differential Systems via the First‐Order Averaging Method

A Menaceur, SM Boulaaras, A Makhlouf… - …, 2021 - Wiley Online Library
By means of the averaging method of the first order, we introduce the maximum number of
limit cycles which can be bifurcated from the periodic orbits of a Hamiltonian system …

Limit cycles of a class of polynomial differential systems bifurcating from the periodic orbits of a linear center

A Menaceur, S Boulaaras, S Alkhalaf, S Jain - Symmetry, 2020 - mdpi.com
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 …

[PDF][PDF] On the limit cycles for a class of generalized Kukles differential systems

A Boulfoul, A Makhlouf, N Mellahi - Journal of Applied Analysis and …, 2019 - jaac-online.com
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 …

[PDF][PDF] Limit cycles for a class of Kukles type differential systems

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 …

Limit cycles of a class of planar polynomial differential systems

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 …

Maximum number of limit cycles for generalized Kukles polynomial differential systems

N Mellahi, A Boulfoul, A Makhlouf - Differential Equations and Dynamical …, 2019 - Springer
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 …

[HTML][HTML] Limit cycles of septic polynomial differential systems bifurcating from the periodic annulus of cubic center

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 …

On the number of limit cycles in a class of planar differential systems.

A Boulfoul, O Saifia - Nonlinear Studies, 2023 - search.ebscohost.com
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 …

On the limit cycles of a class of Kukles type differential systems

R Rabanal - Nonlinear Analysis: Theory, Methods & Applications, 2014 - Elsevier
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 …

[PDF][PDF] A number of limit cycle of sextic polynomial differential systems via the averaging theory

A Menaceur, S Boulaaras - Boletim da Sociedade …, 2021 - pdfs.semanticscholar.org
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 …