کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773997 | 1413539 | 2017 | 47 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiple periodic solutions for Î-symmetric Newtonian systems
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The existence of periodic solutions in Î-symmetric Newtonian systems x¨=ââf(x) can be effectively studied by means of the ÎÃO(2)-equivariant gradient degree with values in the Euler ring U(ÎÃO(2)). In this paper we show that in the case of Î being a finite group, the Euler ring U(ÎÃO(2)) and the related basic degrees are effectively computable using Euler ring homomorphisms, the Burnside ring A(ÎÃO(2)), and the reduced ÎÃO(2)-degree with no free parameters. We present several examples of Newtonian systems with various symmetries, for which we show existence of multiple periodic solutions. We also provide exact value of the equivariant topological invariant for those problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 10, 15 November 2017, Pages 6684-6730
Journal: Journal of Differential Equations - Volume 263, Issue 10, 15 November 2017, Pages 6684-6730
نویسندگان
Mieczyslaw Dabkowski, Wieslaw Krawcewicz, Yanli Lv, Hao-Pin Wu,