On the Limit Cycles for a Class of Perturbed Fifth-Order Autonomous Differential Equations
We study the limit cycles of the fifth-order differential equation x⋅⋅⋅⋅⋅−ex⃜−dx⃛−cx¨−bx˙−ax=εFx,x˙,x¨,x⋯,x⃜ 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 function. Using the averaging theor...
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Main Authors: | Nabil Sellami, Romaissa Mellal, Bahri Belkacem Cherif, Sahar Ahmed Idris |
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Format: | Article |
Language: | English |
Published: |
Wiley
2021-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2021/6996805 |
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