کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1899950 1045199 2006 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new topological technique for characterizing homoclinic tangles
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A new topological technique for characterizing homoclinic tangles
چکیده انگلیسی
We have developed a topological approach, called homotopic lobe dynamics, for describing the qualitative structure of homoclinic tangles. This approach begins from an efficient and accurate description of the initial development of a tangle, up to some finite number of iterates J, where the value of J indicates the amount of information that one puts into the theory. Our approach can then compute the topologically forced structure of the tangle at all iterates after J. This allows one, for example, to predict a minimal set of homoclinic intersections. This technique places few assumptions on the homoclinic tangles considered. In fact, one main advantage is its ability to describe the wide variety of behaviour seen in physically significant tangles.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 221, Issue 2, 15 September 2006, Pages 170-187
نویسندگان
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