کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6416993 1338504 2016 37 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Summability of canard-heteroclinic saddle connections
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Summability of canard-heteroclinic saddle connections
چکیده انگلیسی

For a given (real analytic) slow-fast system{x˙=εf(x,y,ε)y˙=g(x,y,ε), that admits a slow-fast saddle and that satisfies some mild assumptions, the Borel-summability properties of the saddle separatrix tangent in the direction of the critical curve are investigated: 1-summability is shown. It is also shown that slow-fast saddle connections of canard type have summability properties, in contrast to the typical lack of Borel-summability for canard solutions of general equations.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 11, 5 December 2016, Pages 5992-6028
نویسندگان
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