The Duffing Oscillator Equation and Its Applications in Physics
Alvaro H. Salas, Jairo Ernesto Castillo Hernández, Lorenzo Hernández
Abstract
In this paper, we solve the Duffing equation for given initial conditions. We introduce the concept of the discriminant for the Duffing equation and we solve it in three cases depending on sign of the discriminant. We also show the way the Duffing equation is applied in soliton theory.
Topics & Concepts
Duffing equationDiscriminantSign (mathematics)SolitonApplied mathematicsMathematicsPhysicsMathematical analysisComputer scienceQuantum mechanicsArtificial intelligenceNonlinear systemNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems