Periodic solutions of some polynomial differential systems in dimension 5 via averaging theory

DOI10.1515/MSDS-2023-0104OpenAlexW4390118021MaRDI QIDQ6184859

Amar Makhlouf, Achref Eddine Tabet

Publication date: 29 January 2024

Published in: Nonautonomous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/msds-2023-0104

zbMATH Keywords

periodic orbitaveraging theorydifferential system

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Nonautonomous smooth dynamical systems (37C60)

Cites Work

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• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Periodic non-autonomous second-order dynamical systems
• On the limit cycles for a class of fourth-order differential equations
• Averaging methods in nonlinear dynamical systems

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