Dynamical Galam model

Abstract

We introduce a model of temporal evolution of political opinions which amounts to a dynamical extension of Galam model in which the proportions of inflexibles are treated as dynamical variables. We find that the critical value of inflexibles in the original Galam model now turns into a fixed point of the system whose stability controls the phase trajectory of the political opinions. The appearance of two phases, in which majority-preserving and regime-changing limit cycles are respectively dominant, is found, and also the transition between them is observed.

LaTeX, 14 pages, 7 figues, Critical typographical errors in eqs. (4), (5) and (6) corrected

References in corpus (3)

• Statistical physics of social dynamics
• The role of inflexible minorities in the breaking of democratic opinion dynamics
• Nonlinear $q$-voter model with inflexible zealots

Cited by in corpus (4)

• Recent advances in opinion propagation dynamics: A 2020 Survey
• Tipping points in opinion dynamics: a universal formula in five dimensions
• The external field effect on the opinion formation based on the majority rule and the $q$-voter models on the complete graph
• Pair approximation for the q-voter models with quenched disorder on networks