| Revista: | Visión electrónica |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000461434 |
| ISSN: | 1909-9746 |
| Autores: | Salas S., Alvaro H1 Castillo H., Jairo E2 |
| Instituciones: | 1Universidad de Caldas, Caldas, Antioquia. Colombia 2Universidad Distrital Francisco José de Caldas, Bogotá. Colombia |
| Año: | 2014 |
| Periodo: | Ene-Jun |
| Volumen: | 8 |
| Número: | 1 |
| Paginación: | 46-53 |
| País: | Colombia |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Teórico |
| Resumen en inglés | This work provides an exact solution to a cubic Duffing oscillator equa-tion with initial conditions and bounded periodic solutions. This solution is expressed in terms of the Jacobi elliptic function (cn). This exact solu-tion is used as a seed to give a good analytic approximate solution to a nonlinear equation that describes a nonlinear electrical circuit. This last equation is solved numerically and compared with the analytic solution obtained from solving the cubic Duffing equation. It is suggested that the methodology used herein may be useful in the study of other nonlinear problems described by differential equations of the form ()z Fz′′=, ()Fz being an odd function in the sense that ()Fz may be approximated by an appropriate solution to a cubic Duffing oscillator equation. In par-ticular, the exact solution may be applied in the study of the cubic nonlin-ear Schrodinger equation, which is reduced to a cubic Duffing oscillator equation by means of a travelling wave transformation |
| Disciplinas: | Matemáticas |
| Palabras clave: | Matemáticas puras, Ecuación de Duffing, Ecuaciones cúbicas, Ecuaciones diferenciales, Función elíptica de Jacobi, Oscilador de Duffing |
| Keyword: | Cubic equations, Differential equations, Duffing equation, Duffing oscillator, Jacobi elliptic function |
| Texto completo: | https://revistas.udistrital.edu.co/index.php/visele/article/view/7861/9590 |
