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Spontaneous structure formation in a network of chaotic units with variable connection strengths

Junji Ito·Kunihiko Kaneko
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Abstract

As a model of temporally evolving networks, we consider a globally coupled logistic map with variable connection weights. The model exhibits self-organization of network structure, reflected by the collective behavior of units. Structural order emerges even without any inter-unit synchronization of dynamics. Within this structure, units spontaneously separate into two groups whose distinguishing feature is that the first group possesses many outwardly-directed connections to the second group, while the second group possesses only few outwardly-directed connections to the first. The relevance of the results to structure formation in neural networks is briefly discussed.

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Junji Ito, Kunihiko Kaneko. 2001-08-25. Spontaneous structure formation in a network of chaotic units with variable connection strengths. https://doi.org/10.1103/physrevlett.88.028701

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