کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897515 1044544 2009 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Existence and stability analysis of spiky solutions for the Gierer–Meinhardt system with large reaction rates
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Existence and stability analysis of spiky solutions for the Gierer–Meinhardt system with large reaction rates
چکیده انگلیسی

We study the Gierer–Meinhardt system in one dimension in the limit of large reaction rates. First we construct three types of solution: (i) an interior spike; (ii) a boundary spike and (iii) two boundary spikes. Second we prove results on their stability. It is found that an interior spike is always unstable; a boundary spike is always stable. The two boundary spike configuration can be either stable or unstable, depending on the parameters. We fully classify the stability in this case. We characterize the destabilizing eigenfunctions in all cases. Numerical simulations are shown which are in full agreement with the analytical results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 16, 1 August 2009, Pages 1695–1710
نویسندگان
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