Abstract
Two kinds of noise strategies in binary opinion dynamics on ER random networks are discussed. Random noise p 1 in the initial configuration plays a role in redistributing the opinion states associated with the network. Under synchronous updating, the system can attain a stable state within few time steps. The fraction of nodes with changed opinion states F decreases exponentially with time, and the ratio of one of the two opinion states R remains almost unchanged during the evolution. The average ratio 〈R〉 crosses at the half-half initial concentration under different p 1. For noise in the dynamical evolution p 2, the system can reach a steady state with small fluctuations. With larger p 2, more nodes have changed opinion states at each updating and more nodes with opposite opinions coexist. If p 2 is greater than 0.5, the two opinions coexist with equal support.
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Chi, L. Binary opinion dynamics with noise on random networks. Chin. Sci. Bull. 56, 3630–3632 (2011). https://doi.org/10.1007/s11434-011-4751-1
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DOI: https://doi.org/10.1007/s11434-011-4751-1