Geodesic
Boundaries of stability domains for equilibrium points of differential equations with parameters
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 161-164.

Voir la notice de l'article provenant de la source Math-Net.Ru

We consider autonomous and periodic differential equations containing two scalar parameters and analyze the construction of boundaries of stability domains of equilibrium points for such equations in the plane of parameters. We indicate conditions under which a unique smooth boundary curve passes through a given point. We propose a scheme of approximate construction of this curve.
Keywords: autonomous system, periodic system, equilibrium point, stability, stability domain, parameter. 
@article{INTO_2017_132_a36,
     author = {M. G. Yumagulov and L. S. Ibragimova and I. Zh. Mustafina},
     title = {Boundaries of stability domains for equilibrium points of differential equations with parameters},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {161--164},
     publisher = {mathdoc},
     volume = {132},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a36/}
}
TY  - JOUR
AU  - M. G. Yumagulov
AU  - L. S. Ibragimova
AU  - I. Zh. Mustafina
TI  - Boundaries of stability domains for equilibrium points of differential equations with parameters
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2017
SP  - 161
EP  - 164
VL  - 132
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2017_132_a36/
LA  - ru
ID  - INTO_2017_132_a36
ER  - 
%0 Journal Article
%A M. G. Yumagulov
%A L. S. Ibragimova
%A I. Zh. Mustafina
%T Boundaries of stability domains for equilibrium points of differential equations with parameters
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2017
%P 161-164
%V 132
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2017_132_a36/
%G ru
%F INTO_2017_132_a36
M. G. Yumagulov; L. S. Ibragimova; I. Zh. Mustafina. Boundaries of stability domains for equilibrium points of differential equations with parameters. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 161-164. http://geodesic.mathdoc.fr/item/INTO_2017_132_a36/