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
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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},
     year = {2017},
     volume = {132},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a36/}
}
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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/