Localized coherence in two interacting populations of social agents

Gonzalez-Avella, J.C.; Cosenza, M.G.: San Miguel, M
Physica A 399, 24-30 (2014)

We investigate the emergence of localized coherent behavior in systems consisting
of two populations of social agents possessing a condition for non-interacting states,
mutually coupled through global interaction fields. We employ two examples of such
dynamics: (i) Axelrod’s model for social influence, and (ii) a discrete version of a
bounded confidence model for opinion formation. In each case, the global interaction
fields correspond to the statistical mode of the states of the agents in each
population. In both systems we find localized coherent states for some values of
parameters, consisting of one population in a homogeneous state and the other in a
disordered state. This situation can be considered as a social analogue to a chimera
state arising in two interacting populations of oscillators. In addition, other asymptotic collective behaviors appear in both systems depending on parameter values: a
common homogeneous state, where both populations reach the same state; different
homogeneous states, where both population reach homogeneous states different from
each other; and a disordered state, where both populations reach inhomogeneous
states.


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