Localized coherence in two interacting populations of social agents

• Published in: Physica A Vol. 399; pp. 24 - 30
• Main Authors: González-Avella, J.C., Cosenza, M.G., San Miguel, M.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.04.2014
• Subjects: Asymptotic properties; Chimera states; Coherence; Confidence intervals; Dynamical systems; Dynamics; Mass media; Mathematical models; Networks; Oscillators; Populations; Social dynamics; Networks; Social dynamics; Chimera states; Mass media
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2013.12.035

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. •We study two populations of social agents subject to reciprocal global interactions.•Global interaction fields act as mass media messages originated in each population.•Localized coherence appears: one homogeneous population while the other is disordered.•This configuration is similar to chimera states found in populations of oscillators.