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Rotobreathers in the chain of coupled linearly elastic rotators are analyzed.Each rotator is a particle connected by a massless elastic rod with africtionless pivot; it has two degrees of freedom, length and angle ofrotation. The rods of the rotators and the elastic bonds between the nearestrotators are linearly elastic, and the nonlinearity of the system is of apurely geometric nature. It is shown that long-lived rotobreathers can exist ifthe stiffness of the rods is high enough to create a relatively wide gap in thephonon spectrum of the chain. The frequency of angular rotation of therotobreather cannot be above the optical band of the phonon spectrum and is inthe spectrum gap. Generally speaking, the rotation of the rotobreather isaccompanied by radial oscillations, however, one can choose such initialconditions so that the radial oscillations are minimal. Some parameters ofrotobreathers with minimal radial vibrations are presented on the basis ofnumerical simulations. The results obtained qualitatively describe the behaviorof physical systems with coupled rotators.

Rotobreathers in a chain of coupled elastic rotators