کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661514 1344433 2007 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Positively expansive dynamical systems
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Positively expansive dynamical systems
چکیده انگلیسی

We introduce the notions of weakly and strongly positively expansive (wPE and sPE, respectively) discrete dynamical systems. Both are topological generalizations of the well-known metric notion of positive expansiveness (PE). We prove that the three notions are identical on compact metrizable spaces, but not on noncompact spaces. We investigate properties of PE, wPE, and sPE dynamical systems and show how they are related. Finally, we show that the possible dynamics for wPE and sPE homeomorphisms are severely limited, and we classify sPE homeomorphisms.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 3, 1 February 2007, Pages 604-613