Open AccessThe Duffing Oscillator Equation and Its Applications in Physics
Author(s) -
Alvaro H. Salas,
Jairo Ernesto Castillo Hernández,
Lorenzo Hernández
Publication year - 2021
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2021/9994967
Subject(s) - duffing equation , discriminant , sign (mathematics) , soliton , mathematics , physics , mathematical analysis , computer science , quantum mechanics , artificial intelligence , nonlinear system
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.
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