Open AccessESTUDO DO COMPORTAMENTO DINÂMICO DO MODELO NEURONAL DE HINDMARSH-ROSE
Author(s) -
RaildoSantos de Lima,
Fábio Roberto Chavarette,
Luiz Gustavo Pereira Roéfero
Publication year - 2019
Publication title -
colloquium exactarum
Language(s) - English
Resource type - Journals
ISSN - 2178-8332
DOI - 10.5747/ce.2019.v11.n4.e301
Subject(s) - chaotic , aperiodic graph , impulse (physics) , neuron , bursting , biological neuron model , oscillation (cell signaling) , rose (mathematics) , computer science , physics , control theory (sociology) , neuroscience , mathematics , artificial intelligence , psychology , biology , classical mechanics , geometry , control (management) , combinatorics , genetics
Based on the Hindmarsh-Rose (RH) neuronal model for nerve impulse transmission, this paper aims to study the properties and dynamic behavior of the non-linear chaotic system that describes neuronal bursting in a single neuron. On the part of bioengineering, there is great motivation in the study of the HR model because it is well representative of the biological neuron, being able to simulate several behaviors of a real neuron, among them periodic, aperiodic and chaotic behavior. The literature suggests that the chaotic behaviorrepresents in the human being the epileptic or convulsive state. Through computer simulations, considering the system parameters, it was analyzed that the stability is highly sensitive to the initial conditions and producing oscillations, more so, when the oscillation increases the random behavior tends to increase making the system unpredictable.