کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840982 908497 2011 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
How strange can an attractor for a dynamical system in a 3-manifold look?
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
How strange can an attractor for a dynamical system in a 3-manifold look?
چکیده انگلیسی

The aim of this paper is to characterise those compact subsets KK of 33-manifolds MM that are (stable and not necessarily global) attractors for some flow on MM. We will show that it is the topology of M−KM−K, rather than that of KK, the one that plays a relevant role in this problem.A necessary and sufficient condition for a set KK to be an attractor is that it must be an “almost tame” subset of MM in a sense made precise under the equivalent notions of “weakly tame” and “tamely embedded up to shape”, defined in the paper. These are complemented by a further equivalent condition, “algebraic tameness”, which has the advantage of being checkable by explicit computation.A final section of the paper is devoted to a partial analysis of the same question when one replaces flows by discrete dynamical systems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 74, Issue 17, December 2011, Pages 6162–6185
نویسندگان
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