Nonlinear dynamical analysis on coupled modified fitzhugh-nagumo neuron model

Authors:
Deepak Mishra;Abhishek Yadav;Sudipta Ray;Prem K. Kalra
Affiliations:
Department of Electrical Engineering, IIT, Kanpur, India;Department of Electrical Engineering, IIT, Kanpur, India;Department of Electrical Engineering, IIT, Kanpur, India;Department of Electrical Engineering, IIT, Kanpur, India
Venue:
ISNN'05 Proceedings of the Second international conference on Advances in Neural Networks - Volume Part I
Year:
2005

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Abstract

In this work, we studied the dynamics of modified FitzHugh-Nagumo (MFHN) neuron model. This model shows how the potential difference between spine head and its surrounding medium vacillates between a relatively constant period called the silent phase and large scale oscillation reffered to as the active phase or bursting. We investigated bifurcation in the dynamics of two MFHN neurons coupled to each other through an electrical coupling. It is found that the variation in coupling strength between the neurons leads to different types of bifurcations and the system exhibits the existence of fixed point, periodic and chaotic attractor.