Limit cycles for a class of second order differential equations

DOI10.1016/j.physleta.2011.01.011zbMath1242.34052OpenAlexW2082768184MaRDI QIDQ432859

Jaume Llibre, Ernesto Pérez-Chavela

Publication date: 4 July 2012

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: http://ddd.uab.cat/record/150432

zbMATH Keywords

limit cycleaveraging theorysecond order differential equation

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Perturbations of ordinary differential equations (34D10)

Related Items (3)

On the bifurcation of limit cycles due to polynomial perturbations of Hamiltonian centers ⋮ Existence of periodic solutions for a class of second order ordinary differential equations ⋮ On the periodic solutions of the relativistic driven harmonic oscillator

Cites Work

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• Recent applications of the theory of Lie systems in Ermakov systems
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• 3-dimensional Hopf bifurcation via averaging theory
• Lie point symmetries for reduced Ermakov systems
• Periodic solutions of nonlinear periodic differential systems with a small parameter
• On the periodic orbits of Hamiltonian systems
• Unbounded solutions and periodic solutions for second order differential equations with asymmetric nonlinearity

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