On preservation of an exponentially stable invariant torus
Abstract
New conditions of the preservation of an exponentially stable invariant toroidal
manifold of linear extension of one-dimensional dynamical system on torus under small
perturbations 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 systems
with simple structure of limit sets.
manifold of linear extension of one-dimensional dynamical system on torus under small
perturbations 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 systems
with simple structure of limit sets.
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PDFDOI: https://doi.org/10.2478/tatra.v63i0.329