کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4639330 | 1632042 | 2013 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Preservation of Hopf bifurcation for neutral delay-differential equations by θ-methods
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Preservation of Hopf bifurcation for neutral delay-differential equations by θ-methods Preservation of Hopf bifurcation for neutral delay-differential equations by θ-methods](/preview/png/4639330.png)
چکیده انگلیسی
This paper considers the preservation of Hopf bifurcation of some neural delay-differential equations by θ-method. By analyzing the dynamics of the numerical discrete system derived by θ-method, we show that θ-method could inherit the Hopf bifurcation and the asymptotical stability for sufficiently small stepsize h=1/m, where m is a positive integer. In particular, for θ=1/2 the result holds for any stepsize h=1/m. Furthermore, the stability of the closed invariant curve is established. Finally, some numerical examples are illustrated to support the analytic results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 248, 15 August 2013, Pages 76-87
Journal: Journal of Computational and Applied Mathematics - Volume 248, 15 August 2013, Pages 76-87
نویسندگان
Huan Su, Wenxue Li, Xiaohua Ding,