Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method
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.
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/5581423 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559994641317888 |
|---|---|
| author | Amor Menaceur Salah Mahmoud Boulaaras Amar Makhlouf Karthikeyan Rajagobal Mohamed Abdalla |
| author_facet | Amor Menaceur Salah Mahmoud Boulaaras Amar Makhlouf Karthikeyan Rajagobal Mohamed Abdalla |
| author_sort | Amor Menaceur |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-be73ac993d064b049bdee9781ee451ad |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-be73ac993d064b049bdee9781ee451ad2025-02-03T01:28:44ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/55814235581423Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging MethodAmor Menaceur0Salah Mahmoud Boulaaras1Amar Makhlouf2Karthikeyan Rajagobal3Mohamed Abdalla4Laboratory of Analysis and Control of Differential Equations “ACED”, Departement of Mathematics, University of Guelma, P.O. Box 401, Guelma 24000, AlgeriaDepartment of Mathematics, College of Sciences and Arts ArRass, Qassim University, AI-Qassim, Saudi ArabiaDepartement of Mathematics, Annaba University, Box. 12 El Hadjar, Annaba, AlgeriaCenter for Nonlinear Systems Chennai Institute of Technology, Chennai, IndiaMathematics Department, College of Science, King Khalid University, Abha 61413, Saudi ArabiaBy 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.http://dx.doi.org/10.1155/2021/5581423 |
| spellingShingle | Amor Menaceur Salah Mahmoud Boulaaras Amar Makhlouf Karthikeyan Rajagobal Mohamed Abdalla Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method Complexity |
| title | Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method |
| title_full | Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method |
| title_fullStr | Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method |
| title_full_unstemmed | Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method |
| title_short | Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method |
| title_sort | limit cycles of a class of perturbed differential systems via the first order averaging method |
| url | http://dx.doi.org/10.1155/2021/5581423 |
| work_keys_str_mv | AT amormenaceur limitcyclesofaclassofperturbeddifferentialsystemsviathefirstorderaveragingmethod AT salahmahmoudboulaaras limitcyclesofaclassofperturbeddifferentialsystemsviathefirstorderaveragingmethod AT amarmakhlouf limitcyclesofaclassofperturbeddifferentialsystemsviathefirstorderaveragingmethod AT karthikeyanrajagobal limitcyclesofaclassofperturbeddifferentialsystemsviathefirstorderaveragingmethod AT mohamedabdalla limitcyclesofaclassofperturbeddifferentialsystemsviathefirstorderaveragingmethod |