کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9502726 | 1339538 | 2005 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Synchronized Hopf bifurcation analysis in a neural network model with delays
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Synchronized Hopf bifurcation analysis in a neural network model with delays Synchronized Hopf bifurcation analysis in a neural network model with delays](/preview/png/9502726.png)
چکیده انگلیسی
We consider the synchronized periodic oscillation in a ring neural network model with two different delays in self-connection and nearest neighbor coupling. Employing the center manifold theorem and normal form method introduced by Hassard et al., we give an algorithm for determining the Hopf bifurcation properties. Using the global Hopf bifurcation theorem for FDE due to Wu and Bendixson's criterion for high-dimensional ODE due to Li and Muldowney, we obtain several groups of conditions that guarantee the model have multiple synchronized periodic solutions when the transfer coefficient or time delay is sufficiently large.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 1, 1 December 2005, Pages 205-229
Journal: Journal of Mathematical Analysis and Applications - Volume 312, Issue 1, 1 December 2005, Pages 205-229
نویسندگان
Junjie Wei, Yuan Yuan,