A discrete-time dynamical system on the two-dimensional cylinder generated by a quasiperiodically driven translation of countable number of intervals with constant overlapping is considered. The existence and uniqueness of an invariant limiting belt that absorbs all trajectories in the system is proven; the properties of this belt are shown.
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- ACS Style
- Teplinsky , O.Y. Absorbing belt for quasi-periodically controlled displacement of a countable number of segments on a straight line. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Teplinsky OY. Absorbing belt for quasi-periodically controlled displacement of a countable number of segments on a straight line. Bukovinian Mathematical Journal. 2018; 1(454).
- Chicago/Turabian Style
- Oleksiy Yuriyovych Teplinsky . 2018. "Absorbing belt for quasi-periodically controlled displacement of a countable number of segments on a straight line". Bukovinian Mathematical Journal. 1 no. 454.