کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4634923 | 1340703 | 2008 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Inhomogeneous oscillatory solutions in fractional reaction-diffusion systems and their computer modeling
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We investigate inhomogeneous oscillatory instability conditions in fractional reaction-diffusion systems. It is shown that non-linear stationary solutions emerge as a result of Turing instability becoming unstable according to oscillatory perturbation and transform to inhomogeneous oscillatory structures. It is also shown that with the certain value of the fractional derivatives index, a new type of instability takes place and the system becomes unstable towards perturbations of finite wave number. As a result, oscillatory perturbations with this wave number become unstable and lead to non-linear oscillations which result in spatial oscillatory structure formation. Computer simulation of a Bonhoeffer-van der Pol type reaction-diffusion systems with fractional time derivatives is performed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 198, Issue 1, 15 April 2008, Pages 251-260
Journal: Applied Mathematics and Computation - Volume 198, Issue 1, 15 April 2008, Pages 251-260
نویسندگان
V. Gafiychuk, B. Datsko,