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Dynamics of Opinion Forming in Structurally Balanced Social Networks

Figure 5

Switching party.

A fraction of one of the two parties (individuals in red) joints the other faction at . In our model this corresponds to applying a gauge transformation to the individuals in question: in the sociomatrix friends become adversaries and viceversa. This results in a change of sign of the corresponding rows/columns of the Jacobian and induces a rapid realignment of the individuals to opposite opinions. The network rapidly reaches a new steady state, differing for the old one only for the sign of the opinions of the red individuals.

Figure 5

doi: https://doi.org/10.1371/journal.pone.0038135.g005