کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709059 1012840 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak mixing and chaos in nonautonomous discrete systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
Weak mixing and chaos in nonautonomous discrete systems
چکیده انگلیسی

The paper is devoted to a study of chaotic properties of nonautonomous discrete systems (NDS) defined by a sequence f∞={fi}i=0∞ of continuous maps acting on a compact metric space. We consider such properties as chaos in the sense of Li and Yorke, topological weak mixing and topological entropy, all defined in a way suitable for NDS. We compare these concepts with the case of a single map (discrete dynamical system, DS for short) and relate them to recent results in the topic. While previous research of various authors were focusing on analogues to the DS case, we show that in general the dynamics of NDSs is much richer and quite different than what is expected from the DS case. We also provide a few new tools that can be used for the successful investigation of their qualitative behavior.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 8, August 2012, Pages 1135–1141
نویسندگان
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