Limit cycles for a class of fifth-order differential equations

DOI10.14317/jami.2024.139MaRDI QIDQ6567338

Achref Eddine Tabet, Amar Makhlouf

Publication date: 4 July 2024

Published in: Journal of Applied Mathematics \& Informatics (Search for Journal in Brave)

zbMATH Keywords

periodic orbitaveraging theorydifferential system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07)

Cites Work

• Limit cycles for a class of third-order differential equations
• Solitons and periodic solutions for the fifth-order KdV equation
• On the periodic orbits of the third-order differential equation \(x^{\prime\prime\prime}-\mu x^{\prime\prime}+x^{\prime }-\mu x=\varepsilon F(x, x^{\prime },x^{\prime\prime})\)
• On the limit cycles for a class of perturbed fifth-order autonomous differential equations
• Periodic orbits of the fourth-order non-autonomous differential equation \(u'+qu+pu=\varepsilon F(t,u,u',u,u)\)
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• On the limit cycles for a class of fourth-order differential equations
• Higher order averaging theory for finding periodic solutions via Brouwer degree
• Averaging methods in nonlinear dynamical systems
• Maximum number of limit cycles for generalized Kukles differential system
• Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\)
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