An elementary analysis is developed to determine the stability region of a certain class of ordinary differential equations with two delays. Our analysis is based on determining stability switches first where an eigenvalue is pure complex, and then checking the conditions for stability loss or stability gain. In the case of both stability losses and stability gains Hopf bifurcation occurs giving the possibility of the birth of limit cycles.
@article{1334,
title = {An Elementary Study of a Class of Dynamic Systems with Two Time Delays},
journal = {CUBO, A Mathematical Journal},
volume = {14},
year = {2012},
language = {en},
url = {http://dml.mathdoc.fr/item/1334}
}
Matsumoto, Akio; Szidarovszky, Ferenc. An Elementary Study of a Class of Dynamic Systems with Two Time Delays. CUBO, A Mathematical Journal, Tome 14 (2012) . http://gdmltest.u-ga.fr/item/1334/