کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609590 1338519 2016 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dynamical compactness and sensitivity
ترجمه فارسی عنوان
فشرده سازی و حساسیت دینامی
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

To link the Auslander point dynamics property with topological transitivity, in this paper we introduce dynamically compact systems as a new concept of a chaotic dynamical system (X,T)(X,T) given by a compact metric space X   and a continuous surjective self-map T:X→XT:X→X. Observe that each weakly mixing system is transitive compact, and we show that any transitive compact M-system is weakly mixing. Then we discuss the relationships between it and other several stronger forms of sensitivity. We prove that any transitive compact system is Li–Yorke sensitive and furthermore multi-sensitive if it is not proximal, and that any multi-sensitive system has positive topological sequence entropy. Moreover, we show that multi-sensitivity is equivalent to both thick sensitivity and thickly syndetic sensitivity for M-systems. We also give a quantitative analysis for multi-sensitivity of a dynamical system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 9, 5 May 2016, Pages 6800–6827
نویسندگان
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