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We report the existence of persistently rotating azimuthons in media withself-focusing Kerr and absorption nonlinearities. The nonlinear loss isbalanced by power influx from the peripheral reservoir stored in slowlydecaying tails of the azimuthons. These modes are excited by a superposition oftwo Bessel beams with opposite vorticities, $\pm s$, and slightly differentconicities. The excited azimuthon exhibits opposite vorticity in its center tothat of the input Bessel-beam superposition due to spontaneous inversion of thetopological charge in the course of the azimuthon formation. Unlike azimuthonsin loss-free media, number $N$ of rotating intensity maxima and $s$ are notmutually independent, being related by $N=2s$. The robustness of the rotatingazimuthons is enhanced in comparison to similar static dissipative patterns.They can be excited in almost any transparent material, in the range ofintensities for which the nonlinear absorption, induced by multiphotonabsorption, is relevant. Close to the ionization threshold, the rotatingazimuthons reproduce recently observed helical filaments of light in air andCS$_{2}$.

Rotating azimuthons in dissipative Kerr media excited by superpositions of Bessel beams