Prevalence of stable periodic solutions for Duffing equations

DOI10.1016/j.jde.2016.02.003zbMath1350.34037OpenAlexW2262717195MaRDI QIDQ267465

Feng Wang, Jifeng Chu

Publication date: 8 April 2016

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.02.003

zbMATH Keywords

prevalenceDuffing equationsstable periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Stability of solutions to ordinary differential equations (34D20)

Related Items (10)

Existence and stability of periodic solutions for a forced pendulum with time-dependent damping ⋮ Aubry-Mather sets in semilinear asymmetric Duffing equations ⋮ Fink type conjecture on affine-periodic solutions and Levinson's conjecture to Newtonian systems ⋮ Dynamics of a fluid equation with Neumann boundary conditions ⋮ Existence of running solutions in a relativistic Tricomi's equation using perturbation theory ⋮ On the positive periodic solutions of a class of Liénard equations with repulsive singularities in degenerate case ⋮ Bifurcation and dynamics of periodic solutions to the Rayleigh-plesset equation: theory and numerical simulation ⋮ Prevalence of stable periodic solutions in the forced relativistic pendulum equation ⋮ Damped superlinear Duffing equation with strong singularity of repulsive type ⋮ Positive periodic solution for \(p\)-Laplacian neutral damped Duffing equation with strong singularities of attractive and repulsive type

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