کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4947141 | 1439567 | 2017 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Hopf bifurcation in a love-triangle model with time delays
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
هوش مصنوعی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, a love-triangle model with nonlinear romantic sentimental interactions and four time delays is proposed. Regarding time delay as bifurcating parameter, the dynamical behaviors which include local asymptotical stability and Hopf bifurcation are studied in detail by analyzing the characteristic equation corresponding to the linearized system of a love-triangle model. When the delay passes through a sequence of critical values, we find that Hopf bifurcation occurs. Furthermore, stability and direction of bifurcating periodic solution are derived by applying the normal form theory and the center manifold theorem in our love-triangle model. Finally, an illustrative example is also used to support our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Neurocomputing - Volume 260, 18 October 2017, Pages 13-24
Journal: Neurocomputing - Volume 260, 18 October 2017, Pages 13-24
نویسندگان
Deng Wei, Liao Xiaofeng, Dong Tao, Zhou Bo,