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In the framework of axionic extension of the Einstein-aether theory weestablish the model, which describes a stiff regulation of the behavior ofaxionic dark matter by the dynamic aether. The aether realizes this procedurevia the modified Higgs potential, designed for modeling of nonlinearself-interaction of pseudoscalar (axion) field; the modification of thispotential is that its minima are not fixed, and their positions and depthsdepend now on the square of the covariant derivative of the aether velocityfour-vector. Exact solutions to the master equations, modified correspondingly,are obtained in the framework of homogeneous isotropic cosmological model. Theeffective equation of state for axionic dark matter is of the stiff type.Homogeneous perturbations of the pseudoscalar (axion) field, of the Hubblefunction and of the scale factor are shown to fade out with cosmological time,there are no growing modes, the model of stiff regulation is stable.

Axionic extension of the Einstein-aether theory: How does dynamic aether regulate the state of axionic dark matter?