The Duffing Oscillator Equation and Its Applications in Physics
| Autor: | Lorenzo Julio Martínez Hernández, Jairo Ernesto Castillo Hernández, Alvaro H. Salas |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Article Subject General Mathematics General Engineering Duffing equation Engineering (General). Civil engineering (General) Nonlinear Sciences::Chaotic Dynamics Classical mechanics Nonlinear Sciences::Adaptation and Self-Organizing Systems Nonlinear Sciences::Exactly Solvable and Integrable Systems QA1-939 TA1-2040 Nonlinear Sciences::Pattern Formation and Solitons Mathematics |
| Zdroj: | Mathematical Problems in Engineering, Vol 2021 (2021) |
| ISSN: | 1563-5147 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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