Synthesizing attractors of Hindmarsh–Rose neuronal systems

Marius-F. Danca, Qingyun Wang
2010 Nonlinear dynamics  
In this paper a periodic parameter switching scheme is applied to the Hindmarsh-Rose neuronal system to synthesize certain attractors. Results show numerically, via computer graphic simulations, that the obtained synthesized attractor belongs to the class of all admissible attractors for the Hindmarsh-Rose neuronal system and matches the averaged attractor obtained with the control parameter replaced with the averaged switched parameter values. This feature allows us to imagine that living
more » ... s are able to maintain vital behavior while the control parameter switches so that their dynamical behavior is suitable for the given environment.
doi:10.1007/s11071-010-9730-6 fatcat:fkentzc4kve6dhiepcfmpw6qf4