التفاصيل البيبلوغرافية
| العنوان: |
Dynamical Behaviours of Some Horseshoe-like Maps on the Cantor Dust C x C. |
| المؤلفون: |
SEKER, SALIHA, SULTAN, MUSTAFA |
| المصدر: |
Mathematical Communications; 2024, Vol. 29 Issue 1, p117-136, 20p |
| مصطلحات موضوعية: |
DYNAMICAL systems, DUST, TERNARY system |
| مستخلص: |
Dynamical systems are one of the important research topics that have applications in many disciplines. In particular, investigating whether a dynamical system is chaotic gives us important information about the dynamical system. In this paper, some dynamical systems are defined on the Cantor dust C x C inspired by the construction of Smale's horseshoe map. We also express these dynamical systems via ternary numbers and compute their periodic points. We thus obtain some dynamical systems which are chaotic in the sense of Devaney. Finally, we compare these dynamical systems according to whether they are topologically equivalent or not. [ABSTRACT FROM AUTHOR] |
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