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 …

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 …

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 …

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 work, we are interested in the study of the limit cycles of a perturbed differential
system in\(\mathbb {R}^ 2\), given as follows\[\left\{\begin {array}{l}\dot {x}= y,\\\dot {y}=-x …

One of the main open problems in the qualitative theory of real planar differential systems is
the study of limit cycles. In this article, we present an algorithmic approach for detecting how …

We apply the averaging theory of first and second order for studying the limit cycles of
generalized polynomial Linard systems of the form x= y− l (x) y, y=− x− f (x)− g (x) y− h (x) y2 …

Maximum number of limit cycles for generalized Kukles differential system Skip to content Should
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In this paper, we will study the maximum number of limit cycles of a perturbed differential
system with respect to its parameters which appear in the system specially on the degree of …

Memoirs on Differential Equations and Mathematical Physics Page 1 Memoirs on
Differential Equations and Mathematical Physics Volume ??, 2025, 1–22 El Ouahma Bendib …