6533b7d4fe1ef96bd12630c3

RESEARCH PRODUCT

On the number of solutions of a Duffing equation

Melitta Fiebig-wittmaack

subject

Applied MathematicsGeneral MathematicsMathematical analysisGeneral Physics and AstronomyDuffing equationBifurcation diagramNonlinear Sciences::Chaotic DynamicsBifurcation theoryNeumann boundary conditionInitial value problemCalculus of variationsBoundary value problemNonlinear Sciences::Pattern Formation and SolitonsBifurcationMathematics

description

The exact number of solutions of a Duffing equation with small forcing term and homogeneous Neumann boundary conditions is given. Several bifurcation diagrams are shown.

https://doi.org/10.1007/bf00945714