Bifurcation Control for a Neuron Model

Author

Ding LiYa

Author_Institution

Sch. of Inf. & Commun. Eng., Tianjin Polytech. Univ., Tianjin, China

fYear

2011

fDate

30-31 July 2011

Firstpage

1

Lastpage

4

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.

Keywords

bifurcation; limit cycles; medical control systems; neurocontrollers; neurophysiology; oscillations; FHN model; FitzHugh-Nagumo model; bifurcated limit cycle; bifurcation control; centre manifold; dynamical systems; nervous system; neuron model; normal form theory; oscillation amplitude; qualitative change; system parameter; washout filter aided control law; Bifurcation; Chaos; Feedback control; Jacobian matrices; Limit-cycles; Mathematical model; Neurons;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems Engineering (CASE), 2011 International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4577-0859-6

Type

conf

DOI

10.1109/ICCASE.2011.5997540

Filename

5997540