Random Delays and the Synchronization of Chaotic Maps
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Random Delays and the Synchronization of Chaotic Maps
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| Id. |
20858901 |
| Titulo |
Random Delays and the Synchronization of Chaotic Maps |
| Autor(es) |
Masoller, Cristina
Marti, Arturo C.
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| Localización |
http://arxiv.org/abs/nlin/0411049
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| Versión |
1.0 |
| Estado |
Final
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| Descripción |
We investigate the dynamics of an array of logistic maps coupled with random
delay times. We report that for adequate coupling strength the array is able to
synchronize, in spite of the random delays. Specifically, we find that the
synchronized state is a homogeneous steady-state, where the chaotic dynamics of
the individual maps is suppressed. This differs drastically from the
synchronization with instantaneous and fixed-delay coupling, as in those cases
the dynamics is chaotic. Also in contrast with the instantaneous and
fixed-delay cases, the synchronization does not dependent on the connection
topology, depends only on the average number of links per node. We find a
scaling law that relates the distance to synchronization with the randomness of
the delays. We also carry out a statistical linear stability analysis that
confirms the numerical results and provides a better understanding of the
nontrivial roles of random delayed interactions.
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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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