Strange nonchaotic attractors in quasiperiodically forced systems
M. L. Kolomiets1, A. N. Sakharov2
| Annotation | We give a review of results about topological structure for the minimal sets of dynamical systems which are the one-dimensional extensions of the quasi-periodic flows on $m$-dimensional torus. We show that in these systems minimal sets are or invariant tori, or the connected, but not locally connected sets. Latest can play the role of strange nonchaotic attractors. |
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| Keywords | Attractors, minimal sets, proective flows, tological equivalence |
1Assistant professor of department of higher mathematics, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; math@agri.sci-nnov.ru.
2Assistant professor of department of higher mathematic, Nizhny Novgorod State Agricultural Academy, Nizhny Novgorod; ansakharov2008@yandex.ru.
Citation: M. L. Kolomiets, A. N. Sakharov, "[Strange nonchaotic attractors in quasiperiodically forced systems]", Zhurnal Srednevolzhskogo matematicheskogo obshchestva,13:3 (2011) 53–65 (In Russian)
