Almost and pseudo-almost limit cycles for some forced Liénard systems

DOI10.1016/j.na.2009.03.037zbMath1183.34044OpenAlexW2056763984MaRDI QIDQ838077

Bourama Toni

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.037

zbMATH Keywords

limit cycleLiénard equationAlmost periodicitypseudo-almost periodicity

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

• Boundedness and convergence of solutions of \(x + cx' + g(x) = e(t)\)
• Limit cycles of differential equations
• Upper bounds for limit cycle bifurcation from an isochronous period annulus via a birational linearization
• Pseudo almost periodic solutions of some differential equations
• Qualitative theory of planar differential systems
• On non-linear differential equations of the second order. II. The equation \(\ddot y+kf(y)\dot y+g(y,k)=p(t)=p_1(t)+kp_2(t)\); \(k>0,f(y)\geq 1\)
• Sur les solutions périodiques et presque-périodiques de l'équation différentielle x + kf(x)x' + g(x) = kp(t)
• Liénard systems with several limit cycles
• Convergence and Almost Periodicity of Solutions of Forced Lienard Equations
• On Certain Non-Linear Differential Equations with almost Periodic Solutions
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