Dynamics of interval maps generated by erasing substitutions
نویسندگان
چکیده
We study the discrete dynamics of interval maps generated by action erasing block substitutions on binary expansion. propose a classification in hierarchy classes displaying progressively stronger character. investigate how this affects corresponding maps, showing that richest dynamical behavior (Devaney and Li-Yorke chaos, infinite topological entropy) is achieved at precise step hierarchy, which we name completely substitutions.
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 2022
ISSN: ['1090-2732', '0022-0396']
DOI: https://doi.org/10.1016/j.jde.2022.03.036