New conditions of the preservation of an exponentially stable invariant toroidalmanifold of linear extension of one-dimensional dynamical system on torus under smallperturbations in $\omega$-limit set are established. This approach is applied to the investiga-tion of the qualitative behavior of solutions of linear extensions of dynamical systemswith simple structure of limit sets.
@article{329,
title = {On preservation of an exponentially stable invariant torus},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v63i0.329},
language = {EN},
url = {http://dml.mathdoc.fr/item/329}
}
Perestyuk, Mykola Oleksiovych; Feketa, Petro Volodymirovych. On preservation of an exponentially stable invariant torus. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v63i0.329. http://gdmltest.u-ga.fr/item/329/