Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\)

DOI10.2478/AMNS.2020.2.00079zbMath1514.34068MaRDI QIDQ6164212

Jaume Llibre, Amina Feddaoui, Chemseddine Berhail, Amar Makhlouf

Publication date: 30 June 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

third-order differential equationperiodic orbitaveraging theorymemory oscillators

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

Cites Work

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• Periodic orbits for a class of galactic potentials
• Oscillators in resonance \(p\):\(q\):\(r\)
• Remarks on Barbashin-Ezeilo problem on third-order nonlinear differential equations
• Limit cycles for a class of third-order differential equations
• On the uniqueness and global asymptotic stability of periodic solutions for a third order system
• Existence, uniqueness, and instability of large-period harmonics to third-order nonlinear ordinary differential equations
• The existence of pseudo-almost periodic solutions of third-order neutral differential equations with piecewise constant argument
• Oscillators in resonance
• Periodic orbits for the generalized Yang-Mills Hamiltonian system in dimension 6
• Radially stable periodic solutions for radially symmetric Keplerian-like systems
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Periodic solutions of a third order nonlinear differential equation

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