کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842494 908533 2009 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on distributional chaos with respect to a sequence
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A note on distributional chaos with respect to a sequence
چکیده انگلیسی

The aim of this note is to use methods developed by Kuratowski and Mycielski to prove that some more common notions in topological dynamics imply distributional chaos with respect to a sequence. In particular, we show that the notion of distributional chaos with respect to a sequence is only slightly stronger than the definition of chaos due to Li and Yorke. Namely, positive topological entropy and weak mixing both imply distributional chaos with respect to a sequence, which is not the case for distributional chaos as introduced by Schweizer and Smítal.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issue 11, 1 December 2009, Pages 5835–5839
نویسندگان
,