کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501844 | 1338793 | 2005 | 36 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Nucleation in the FitzHugh-Nagumo system: Interface-spike solutions
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We find nucleation solutions of N interfaces and K spikes to the one-dimensional FitzhHugh-Nagumo system. Each spike sits asymptotically in the middle between two interfaces. We use the Lyapunov-Schmidt reduction method, in which the problem is split into a finite-dimensional problem related to the translation of the K spikes and an infinite-dimensional complement problem. However the complement problem remains near degenerate due to the translation of the N interfaces. To overcome this difficulty we move the interfaces by a small distance and solve the complement problem with the help of a Newton iteration argument.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 209, Issue 2, 15 February 2005, Pages 266-301
Journal: Journal of Differential Equations - Volume 209, Issue 2, 15 February 2005, Pages 266-301
نویسندگان
Xiaofeng Ren, Juncheng Wei,