کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9501777 | 1338787 | 2005 | 20 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A geometric approach to periodically forced dynamical systems in presence of a separatrix
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A geometric approach to periodically forced dynamical systems in presence of a separatrix A geometric approach to periodically forced dynamical systems in presence of a separatrix](/preview/png/9501777.png)
چکیده انگلیسی
We consider the periodic boundary value problem for the non-autonomous scalar second-order equation xÌ+F(x,xÌ)=e(t), with e(·) a continuous and T-periodic forcing term. Using a continuation theorem adapted from Capietto et al. (Trans. Amer. Math. Soc. 329 (1992) 41-72), we propose some new conditions for the existence of T-periodic solutions to the forced equation in terms of the dynamical properties of the trajectories of the associated autonomous equation xÌ+F(x,xÌ)=0. Special emphasis will be addressed to the study of the case in which the presence of an unbounded separatrix for the autonomous system in the phase-plane allows to obtain a priori bounds for the T-periodic solutions of the homotopic equation xÌ+F(x,xÌ)=λe(t).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 292-311
Journal: Journal of Differential Equations - Volume 208, Issue 2, 15 January 2005, Pages 292-311
نویسندگان
Gabriele Villari, Fabio Zanolin,