Awaking and sleeping of a complex network
نویسندگان
چکیده
A network with a logistic-like local dynamics is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small, the dynamics is dissipated and there is no activity: the network is turned off. For a critical value of the coupling, a non-null stable synchronized state, which represents a turned on network, emerges. This global bifurcation is independent of the network topology. We characterize the bistability of the system by studying how to perform the transition, which is now topology dependent, from the active state to that with no activity, for the particular case of a scale-free network. This could be a naive model for the wakening and sleeping of a brain-like system, i.e., a multi-component system with two different dynamical behaviors.
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Awaking and Sleeping a Complex Network
A network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the dynamics is dissipated and there is no activity: the network is turned off. For a critical value of the coupling a non-null stable synchronized state, which represents a turned on network, emerges. This global bifurc...
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عنوان ژورنال:
- Neural networks : the official journal of the International Neural Network Society
دوره 20 1 شماره
صفحات -
تاریخ انتشار 2007