Noise-induced synchronization of self-organized systems: Hegselmann-Krause dynamics in infinite space

11/04/2017

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by   Wei Su, et al.

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It has been well established the theoretical analysis for the noise-induced consensus of the local-rule based Hegselmann-Krause (HK) dynamics in finite space. However, when system states are allowed in the infinite space, severe mathematical difficulties arise, and the problem remains open. In this paper, we completely resolved the case when system states are allowed in the infinite space, and also the critical noise strength is given.