Dynamics of a piecewise smooth map with singularity
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Dynamics of a piecewise smooth map with singularity
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| Id. |
20858894 |
| Titulo |
Dynamics of a piecewise smooth map with singularity |
| Autor(es) |
Kumar, Aloke
Banerjee, Soumitro
Lathrop, Daniel P.
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| Localización |
http://arxiv.org/abs/nlin/0411030
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
Experiments observing the liquid surface in a vertically oscillating
container have indicated that modeling the dynamics of such systems require
maps that admit states at infinity. In this paper we investigate the
bifurcations in such a map. We show that though such maps in general fall in
the category of piecewise smooth maps, the mechanisms of bifurcations are quite
different from those in other piecewise smooth maps. We obtain the conditions
of occurrence of infinite states, and show that periodic orbits containing such
states are superstable. We observe period-adding cascade in this system, and
obtain the scaling law of the successive periodic windows.
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| Palabras clave |
Nonlinear Sciences - Chaotic Dynamics
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| Tipo de recurso |
Texto Narrativo
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| Tipo de Interactividad |
Expositivo
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| Nivel de Interactividad |
muy bajo
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| Audiencia |
Estudiante
Profesor
Autor
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| Estructura |
Atomic |
| Coste |
no
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| Copyright |
sí
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| Requerimientos técnicos |
Browser: Any
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| Fecha de contribución |
27-mar-2007 |
| Contacto |
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