@article {10.3844/ojbsci.2010.36.43,
article_type = {journal},
title = {Stability Analysis of a Class of Three-Neuron Delayed Cellular Neural Network},
author = {Gupta, Poulami Das and Majee, N. C. and Roy, A. B.},
volume = {10},
number = {1},
year = {2010},
month = {Jun},
pages = {36-43},
doi = {10.3844/ojbsci.2010.36.43},
url = {https://thescipub.com/abstract/ojbsci.2010.36.43},
abstract = {Problem statement: In this study linear stability of a class of three neuron cellular network with transmission delay had been studied. Approach: The model for the problem was first presented. The problem is then formulated analytically and numerical simulations pertaining to the model are carried out. Results: A necessary and sufficient condition for asymptotic stability of trivial steady state in the absence of delay is derived. Then a delay dependent sufficient condition for local asymptotic stability of trivial, steady state and sufficient condition for no stability switching of trivial steady for such a network are derived. Numerical simulation results of the model were presented. Conclusion/Recommendations: From numerical simulation, it appears that there may be a possibility of multiple steady states of the model. It may be possible to investigate the condition for the existence of periodic solutions of the non-linear model analytically.},
journal = {OnLine Journal of Biological Sciences},
publisher = {Science Publications}
}