Bifurcation Control for a Neuron Model

Abstract

Bifurcation refers to qualitative changes in the solution structure of dynamical systems occurring with slight variation in system parameters. Bifurcation would occur in FitzHugh-Nagumo (FHN) model and many diseases are closely linked to a variety of bifurcations of nervous system. In this paper, washout filter aided control laws are developed for regulating the oscillation amplitude of the bifurcated limit cycle. Control term can be deduced according to centre manifold and normal form theory. Moreover, simulation results show that controllers are effective and flexible