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In this paper a periodic parameter switching scheme is applied to theHindmarsh-Rose neuronal system to synthesize certain attractors. Results shownumerically, via computer graphic simulations, that the obtained synthesizedattractor belongs to the class of all admissible attractors for theHindmarsh-Rose neuronal system and matches the averaged attractor obtained withthe control parameter replaced with the averaged switched parameter values.This feature allows us to imagine that living beings are able to maintain vitalbehavior while the control parameter switches so that their dynamical behavioris suitable for the given environment.

Synthesizing attractors of Hindmarsh-Rose neuronal systems