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

Amor Menaceur; Salah Mahmoud Boulaaras; Amar Makhlouf; Karthikeyan Rajagobal; Mohamed Abdalla

doi:10.1155/2021/5581423

Complexity (Jan 2021)

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

Amor Menaceur,
Salah Mahmoud Boulaaras,
Amar Makhlouf,
Karthikeyan Rajagobal,
Mohamed Abdalla

Affiliations

Amor Menaceur: Laboratory of Analysis and Control of Differential Equations “ACED”, Departement of Mathematics, University of Guelma, P.O. Box 401, Guelma 24000, Algeria
Salah Mahmoud Boulaaras: Department of Mathematics, College of Sciences and Arts ArRass, Qassim University, AI-Qassim, Saudi Arabia
Amar Makhlouf: Departement of Mathematics, Annaba University, Box. 12 El Hadjar, Annaba, Algeria
Karthikeyan Rajagobal: Center for Nonlinear Systems Chennai Institute of Technology, Chennai, India
Mohamed Abdalla: Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

DOI: https://doi.org/10.1155/2021/5581423
Journal volume & issue: Vol. 2021

Abstract

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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. Besides, the perturbation has been used for a particular class of the polynomial differential systems.

Published in Complexity

ISSN: 1076-2787 (Print); 1099-0526 (Online)
Publisher: Wiley
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science
Website: https://onlinelibrary.wiley.com/journal/8503

About the journal