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Inicio Revista Iberoamericana de Automática e Informática Industrial RIAI Soluciones cuasiperiódicas en un circuito eléctrico resonante
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Vol. 4. Issue 3.
Pages 116-125 (July 2007)
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Vol. 4. Issue 3.
Pages 116-125 (July 2007)
Open Access
Soluciones cuasiperiódicas en un circuito eléctrico resonante
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Gustavo Revel, Diego M. Alonso, Jorge L. Moiola
Instituto de Investigaciones en Ingeniería Eléctrica “Alfredo Desages” Dpto. de Ing. Eléctrica y de Computadoras Universidad Nacional del Sur Avda. Alem 1253, (B8000CPB) Bahía Blanca, Argentina and CONICET
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Resumen

En este trabajo se estudia la dinámica de un circuito eléctrico resonante. Se presentan varios diagramas de bifurcaciones que pueden asociarse a la forma normal truncada de la singularidad de Hopf doble. Las curvas de bifurcaciones se obtienen a través de continuaciones numéricas. Se muestra la existencia de soluciones cuasiperiódicas con dos componentes frecuenciales (toros 2D), y tres componentes (toros 3D). Estas últimas, en cierta forma, están próximas en complejidad a soluciones caóticas. El análisis se complementa con simulaciones temporales y una discusión sobre la interacción de los autovalores del sistema linealizado al variar uno de los parámetros.

Palabras clave:
sistemas dinámicos
circuitos nolineales
osciladores
ciclos límite
resonancia
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