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Modeling and controlling the heart conductive system

A model of the cardiac tissue as a conductive excitable system with a pacemaker under external stimuli is proposed. At certain conditions this model is reduced to the standard circle map. It is analytically shown that 2-periodic perturbations of the constructed map lead to the stabilization of the prescribed orbits and thus, allow us to realize the control of complex cardiac rhythms and remove the heart behaviour to the required dynamical regime.