Synthesizing attractors of Hindmarsh-Rose neuronal systems

Details Synthesizing attractors of Hindmarsh-Rose neuronal systems Synthesizing attractors of Hindmarsh-Rose neuronal systems

2011-03-12

arxiv.org/abs/1103.2451v1

Nonlinear Sciences

Chaotic Dynamics

published in Nonlinear Dynamics

Scientific paper

10.1007/s11071-010-9730-6

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 beings are able to maintain vital behavior while the control parameter switches so that their dynamical behavior is suitable for the given environment.

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