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 …

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 …

We study the limit cycles of the fifth‐order differential equation x⋅⋅⋅⋅⋅− ex ⃜− dx ⃛− cx¨−
bx˙− ax= ε F x, x˙, x¨, x⋯, x ⃜ with a= λμδ, b=−(λμ+ λδ+ μδ), c= λ+ μ+ δ+ λμδ, d=−(1+ λμ+ λδ+ …

In this work, we study the bifurcation of limit cycles from the period annulus surrounding the
origin of a class of cubic polynomial differential systems; when they are perturbed inside the …

In this work, the four-dimensional Lotka-Volterra model (4DLV) involving four species in a
constant environment is considered. The objective of this investigation is to study the local …

Numerous branches of science and engineering, including the design of electronic circuits
and the analysis of systems with periodic forcing, use the study of limit cycles in the Mathieu …

Limit cycles of septic polynomial differential systems bifurcating from the periodic annulus of
cubic center Page 1 Partial Differential Equations in Applied Mathematics 9 (2024) 100622 …

⃜) with a λμδ, b −(λμ+ λδ+ μδ), c λ+ μ+ δ+ λμδ, d −(1+ λμ+ λδ+ μδ), e λ+ μ+ δ, where ε
is a small enough real parameter, λ, μ, and δ are real parameters, and F∈ C2 is a nonlinear …