On the number of solutions of a Duffing equation

DOI10.1007/BF00945714zbMath0754.34035MaRDI QIDQ1178989

Melitta Fiebig-Wittmaack

Publication date: 26 June 1992

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

zbMATH Keywords

number of solutionsbifurcation diagramsDuffing equationnumber of periodic solutions

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23)

Related Items (2)

An averaging method applied to a duffing equation ⋮ Stability of stationary solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions

Cites Work

• Nonuniform nonresonance conditions at the two first eigenvalues for periodic solutions of forced Liénard and Duffing equations
• Existence of periodic solutions of Duffing equations
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Stability of stationary solutions of a one-dimensional parabolic equation with homogeneous Neumann boundary conditions
• Multiplicity of solutions of a nonlinear boundary problem with homogeneous neumann boundary conditions
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