Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method-Reference-Cited by-同舟云学术

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

Published:2021-03-18 Issue: Volume:2021 Page:1-6
ISSN:1099-0526
Container-title:Complexity
language:en
Short-container-title:Complexity

Author:

Menaceur Amor¹,Boulaaras Salah Mahmoud²³^ORCID,Makhlouf Amar⁴,Rajagobal Karthikeyan⁵^ORCID,Abdalla Mohamed⁶⁷^ORCID

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Departement of Mathematics, University of Guelma, P.O. Box 401, Guelma 24000, Algeria

2. Department of Mathematics, College of Sciences and Arts ArRass, Qassim University, AI-Qassim, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Ahmed Benbella, Algeria

4. Departement of Mathematics, Annaba University, Box. 12 El Hadjar, Annaba, Algeria

5. Center for Nonlinear Systems Chennai Institute of Technology, Chennai, India

6. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

7. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

Abstract

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.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Multidisciplinary,General Computer Science

Link

http://downloads.hindawi.com/journals/complexity/2021/5581423.pdf

Reference20 articles.

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