کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4611838 | 1338642 | 2008 | 40 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Center manifolds for periodic functional differential equations of mixed type
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We study the behaviour of solutions to nonlinear functional differential equations of mixed type (MFDEs), that remain sufficiently close to a prescribed periodic solution. Under a discreteness condition on the Floquet spectrum, we show that all such solutions can be captured on a finite dimensional invariant center manifold, that inherits the smoothness of the nonlinearity. This generalizes the results that were obtained previously in [H.J. Hupkes, S.M. Verduyn Lunel, Center manifold theory for functional differential equations of mixed type, J. Dynam. Differential Equations 19 (2007) 497–560] for bifurcations around equilibrium solutions to MFDEs.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 245, Issue 6, 15 September 2008, Pages 1526-1565
Journal: Journal of Differential Equations - Volume 245, Issue 6, 15 September 2008, Pages 1526-1565