MÁLEK, Michal a Peter RAITH. Stability of the distribution function for piecewise monotonic maps on the interval. Discrete and Continuous Dynamical Systems - Series A. Springfield: American Institute of Mathematical Sciences, 2018, roč. 38, č. 5, s. 2527-2539. ISSN 1078-0947. Dostupné z: https://dx.doi.org/10.3934/dcds.2018105. |
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@article{30230, author = {Málek, Michal and Raith, Peter}, article_location = {Springfield}, article_number = {5}, doi = {http://dx.doi.org/10.3934/dcds.2018105}, keywords = {Distributional chaos; piecewise monotonic map; distribution function; interval map; perturbation; basic set}, language = {eng}, issn = {1078-0947}, journal = {Discrete and Continuous Dynamical Systems - Series A}, title = {Stability of the distribution function for piecewise monotonic maps on the interval}, url = {http://aimsciences.org//article/doi/10.3934/dcds.2018105}, volume = {38}, year = {2018} }
TY - JOUR ID - 30230 AU - Málek, Michal - Raith, Peter PY - 2018 TI - Stability of the distribution function for piecewise monotonic maps on the interval JF - Discrete and Continuous Dynamical Systems - Series A VL - 38 IS - 5 SP - 2527-2539 EP - 2527-2539 PB - American Institute of Mathematical Sciences SN - 10780947 KW - Distributional chaos KW - piecewise monotonic map KW - distribution function KW - interval map KW - perturbation KW - basic set UR - http://aimsciences.org//article/doi/10.3934/dcds.2018105 L2 - http://aimsciences.org//article/doi/10.3934/dcds.2018105 N2 - For piecewise monotonic maps the notion of approximating distribution function is introduced. It is shown that for a mixing basic set it coincides with the usual distribution function. Moreover, it is proved that the approximating distribution function is upper semi-continuous under small perturbations of the map. ER -
MÁLEK, Michal a Peter RAITH. Stability of the distribution function for piecewise monotonic maps on the interval. \textit{Discrete and Continuous Dynamical Systems - Series A}. Springfield: American Institute of Mathematical Sciences, 2018, roč.~38, č.~5, s.~2527-2539. ISSN~1078-0947. Dostupné z: https://dx.doi.org/10.3934/dcds.2018105.
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