کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8900118 | 1631556 | 2018 | 39 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Elliptic-type degenerate invariant tori for quasi-periodically forced four-dimensional non-conservative systems
ترجمه فارسی عنوان
توری غیرقابل انحطاطی تشدید شده از نوع بیضوی برای سیستم های غیر محافظه کار چهار بعدی مجزا
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
چکیده انگلیسی
In this paper, we will focus on the persistence of elliptic-type degenerate invariant tori with the same frequency vector ÏâRd as the forcing in a class of quasi-periodically forced four-dimensional non-conservative systems. It is shown that, under suitable hypothesis of smoothness with respect to ϵ and the Brjuno-Rüssmann's non-resonant condition instead of ordinary Diophantine condition with respect to the frequency vector ÏâRd, the invariant tori persist under small perturbations for most of the sufficiently small parameters ϵ in the sense of the Lebesgue measure. Hence, the system has a quasi-periodic solution with the same frequency vector Ï as the forcing. The proof is based on the Pöschel-Rüssmann KAM method, which is a KAM-type method in which one uses the polynomial structure of function to truncate, introduce a parameter q and make the steps of KAM iteration infinitely small in the speed of function qnκ,0
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 164-202
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 164-202
نویسندگان
Wen Si, Jianguo Si,