Back to Search
Start Over
Stability analysis of a single neuron model with delay
- Source :
-
Journal of Computational & Applied Mathematics . Aug2003, Vol. 157 Issue 1, p73. 20p. - Publication Year :
- 2003
-
Abstract
- In this paper we study the asymptotic behavior and numerical approximation of the single neuron model equation <f>x˙(t)=−dx(t)+af(x(t))+bf(x(t−τ))+I</f>, <f>t&ges;0</f> (1), where <f>d>0</f> and <f>f(x)=0.5(|x+1|−|x−1|)</f>. We obtain new sufficient conditions for global asymptotic stability of constant equilibriums of (1), give several numerical examples to illustrate our results, and formulate conjectures on the asymptotic behavior of the solutions based on our numerical experiments. [Copyright &y& Elsevier]
- Subjects :
- *ASYMPTOTIC expansions
*STOCHASTIC convergence
*TOPOLOGY
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 157
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 10232925
- Full Text :
- https://doi.org/10.1016/S0377-0427(03)00376-5