  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.
