Geodesic
Structural Stability of Simplest Dynamical Inequalities
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems and optimization, Tome 256 (2007), pp. 89-101

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

The structural stability of families of orbits is proved for the simplest generic smooth dynamical inequality in the plane with bounded complement of the domain of complete controllability. Typical singularities of the boundaries of nonlocal transitivity zones for such inequalities are found. The stability of these singularities under small perturbations of the generic inequality is proved. 
@article{TM_2007_256_a4,
     author = {Yu. A. Grishina and A. A. Davydov},
     title = {Structural {Stability} of {Simplest} {Dynamical} {Inequalities}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {89--101},
     publisher = {mathdoc},
     volume = {256},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2007_256_a4/}
}
TY  - JOUR
AU  - Yu. A. Grishina
AU  - A. A. Davydov
TI  - Structural Stability of Simplest Dynamical Inequalities
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2007
SP  - 89
EP  - 101
VL  - 256
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2007_256_a4/
LA  - ru
ID  - TM_2007_256_a4
ER  - 
%0 Journal Article
%A Yu. A. Grishina
%A A. A. Davydov
%T Structural Stability of Simplest Dynamical Inequalities
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2007
%P 89-101
%V 256
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2007_256_a4/
%G ru
%F TM_2007_256_a4
Yu. A. Grishina; A. A. Davydov. Structural Stability of Simplest Dynamical Inequalities. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Dynamical systems and optimization, Tome 256 (2007), pp. 89-101. http://geodesic.mathdoc.fr/item/TM_2007_256_a4/