Coexistence of types of unimodal cycles of continuous mapping of a segment into it self
Samoilenko Valeriy Hryhorovich
1
,
Tyshchuk Tetyana Volodymyrivna
2
,
Fedorenko Volodymyr Vasylovych
3
1 Department of Mathematical Physics, Taras Shevchenko National University of Kyiv, Kyiv, 03127, Ukraine
2 Department of Integral and Differential Equations, Taras Shevchenko National University of Kyiv, Kyiv, 01001, Ukraine
3 Department of dynamic systems and fractal analysis, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 01001, Ukraine
Keywords:
unimodal cycles, continuous mapping
Abstract
We consider cycles of a special class of continuous maps generated by two monotonic conti-
nuous maps of an interval. Using a classification by different cycle features, namely, with period,
mutual arrangement of cycle points, arrangement of cycle points on different branches of monotony,
properties of cycles of maps mentioned above are described and the problem on cycles coexistence
is studied.
Cite
- ACS Style
- Samoilenko, V.H.; Tyshchuk, T.V.; Fedorenko, V.V. Coexistence of types of unimodal cycles of continuous mapping of a segment into it self. Bukovinian Mathematical Journal. 2016, 2
- AMA Style
- Samoilenko VH, Tyshchuk TV, Fedorenko VV. Coexistence of types of unimodal cycles of continuous mapping of a segment into it self. Bukovinian Mathematical Journal. 2016; 2(4).
- Chicago/Turabian Style
- Valeriy Hryhorovich Samoilenko, Tetyana Volodymyrivna Tyshchuk, Volodymyr Vasylovych Fedorenko. 2016. "Coexistence of types of unimodal cycles of continuous mapping of a segment into it self". Bukovinian Mathematical Journal. 2 no. 4.
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