کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417114 | 1338528 | 2015 | 72 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Geometric proof for normally hyperbolic invariant manifolds
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Geometric proof for normally hyperbolic invariant manifolds Geometric proof for normally hyperbolic invariant manifolds](/preview/png/6417114.png)
چکیده انگلیسی
We present a new proof of the existence of normally hyperbolic manifolds and their whiskers for maps. Our result is not perturbative. Based on the bounds on the map and its derivative, we establish the existence of the manifold within a given neighborhood. Our proof follows from a graph transform type method and is performed in the state space of the system. We do not require the map to be invertible. From our method follows also the smoothness of the established manifolds, which depends on the smoothness of the map, as well as rate conditions, which follow from bounds on the derivative of the map. Our method is tailor made for rigorous, interval arithmetic based, computer assisted validation of the needed assumptions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6215-6286
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 6215-6286
نویسندگان
Maciej J. CapiÅski, Piotr ZgliczyÅski,