کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4625880 | 1631773 | 2016 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hopf bifurcation for neutral-type neural network model with two delays
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Hopf bifurcation for neutral-type neural network model with two delays Hopf bifurcation for neutral-type neural network model with two delays](/preview/png/4625880.png)
چکیده انگلیسی
In this paper, the dynamics of a neutral neural network model with two delays is investigated. The condition to ensure the stability of the zero solution of the system is decided by choosing τ1 and τ2 as parameters, respectively. Then the Hopf bifurcation is discussed by using the center manifold theory and normal form method introduced by Hassard and Kazarinoff. Global existence of periodic solution is studied by using the global Hopf bifurcation theory. Finally, some numerical simulations are carried out to illustrate the analytical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 282, 5 May 2016, Pages 17–31
Journal: Applied Mathematics and Computation - Volume 282, 5 May 2016, Pages 17–31
نویسندگان
Xiaocai Zeng, Zuoliang Xiong, Changjian Wang,