Limit cycles for a class of third-order differential equations

DOI10.1216/RMJ-2010-40-2-581zbMath1196.37087OpenAlexW2079102435MaRDI QIDQ976558

Xiang Zhang, Jiang Yu, Jaume Llibre

Publication date: 14 June 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmj-2010-40-2-581

zbMATH Keywords

limit cyclethird-order differential equationaveraging theoryperturbation of centers

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (4)

Averaging methods of arbitrary order, periodic solutions and integrability ⋮ Periodic solutions for differential systems in \(\mathbb{R}^3\) and \(\mathbb{R}^4\) ⋮ Periodic solutions of nonlinear differential systems by the method of averaging. ⋮ On the limit cycles for a class of perturbed fifth-order autonomous differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on Barbashin-Ezeilo problem on third-order nonlinear differential equations
• Nonlinear differential equations and dynamical systems
• 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
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• Periodic solutions of a third order nonlinear differential equation
• Averaging methods in nonlinear dynamical systems

This page was built for publication: Limit cycles for a class of third-order differential equations