Artículo
Bifurcation theory and harmonic content of oscillations
Fecha de publicación:
12/2006
Editorial:
Unión Matemática Argentina
Revista:
Revista de la Unión Matemática Argentina
ISSN:
0041-6932
e-ISSN:
1669-9637
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The harmonic content of periodic solutions in ODEs is obtained using standard techniques of harmonic balance and the fast Fourier transform (FFT). For the first method, the harmonic content is attained in the vicinity of the Hopf bifurcation condition where a smooth branch of oscilations is born under the variation of a distinguished parameter. The second technique is applied directly to numerical simulation, which is assumed to be the correct solution. Although the first method is local, it provides an excellent tool to characterize the periodic behavior in the unfoldings of other more complex singularities, such as the double Hopf bifurcation (DHB). An example with a DBH is analyzed with this methodology and the FFT algorithm.
Palabras clave:
Harmonic
,
Content
,
Oscillations
Archivos asociados
Licencia
Identificadores
Colecciones
Articulos(IIIE)
Articulos de INST.DE INVEST.EN ING.ELECTRICA "A.DESAGES"
Articulos de INST.DE INVEST.EN ING.ELECTRICA "A.DESAGES"
Citación
Itovich, Griselda Rut; Robbio, Federico I.; Moiola, Jorge Luis; Bifurcation theory and harmonic content of oscillations; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 47; 02; 12-2006; 137-150
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