Bifurcation and control of a neuron model with delays and reaction-diffusion

Author

Ling, Wang ; Hongyong, Zhao

Author_Institution

Sch. of Sci., Nanjing Univ. of Aeronaut. & Astronaut., Nanjing, China

fYear

2012

fDate

25-27 July 2012

Firstpage

3273

Lastpage

3278

Abstract

The paper deals with the stability and Hopf bifurcation of a class of a neuron model with reaction-diffusion and delay-dependent parameter. Based on stability and bifurcation theory, determining the delay as the bifurcation parameter, we give some criteria for stability and Hopf bifurcation. Numerical simulations are given to validate the theoretical analysis. It shows that controllers which are designed in this paper can control the occurrence of bifurcation effectively and can dominate the amplitude of the bifurcation limit cycle.

Keywords

bifurcation; control system synthesis; delays; limit cycles; neural nets; numerical analysis; reaction-diffusion systems; stability; stability criteria; Hopf bifurcation; bifurcation limit cycle; bifurcation parameter; bifurcation theory; delay determination; delay-dependent parameter; neuron model bifurcation; neuron model control; numerical simulations; reaction-diffusion model; stability criteria; Bifurcation; Delay; Electronic mail; Neurons; Numerical stability; Stability criteria; Control; Hopf Bifurcation; Reaction-diffusion; Stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2012 31st Chinese

Conference_Location

Hefei

ISSN

1934-1768

Print_ISBN

978-1-4673-2581-3

Type

conf

Filename

6390486