Email this article Sensitivity of an Induced System on a Segment
- Authors: Rybak O.V.1
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Affiliations:
- Institute of Mathematics, Ukrainian National Academy of Sciences
- Issue: Vol 222, No 3 (2017)
- Pages: 336-344
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/239195
- DOI: https://doi.org/10.1007/s10958-017-3303-x
- ID: 239195
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Abstract
We consider dynamical systems (C (I), f) in which the function f maps a segment I into itself and is naturally extended to closed connected subsets of this segment. For the indicated systems, we study their sensitivity to initial conditions. In particular, it is shown that the system (C (I), f) always possesses a Lyapunov-stable point.
About the authors
O. V. Rybak
Institute of Mathematics, Ukrainian National Academy of Sciences
Email: Jade.Santos@springer.com
Ukraine, Tereshchenkivs’ka Str. 3, Kyiv, 01601
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