کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6424995 1633785 2016 62 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On invariant manifolds and invariant foliations without a spectral gap
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
On invariant manifolds and invariant foliations without a spectral gap
چکیده انگلیسی

It is known that a spectral gap condition is required for the existence and smoothness of invariant manifolds and invariant foliations near a fixed point. However, any planar mapping with a unipotent linear part, having a center manifold on the whole phase plane, does not have such a gap. In this paper, we give the existence and smoothness of invariant manifolds, which are invariant submanifolds of the center manifold, for the aforementioned planar mapping. Corresponding to the invariant submanifolds, we further prove the existence and smoothness of invariant foliations on the center manifold.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 303, 5 November 2016, Pages 549-610
نویسندگان
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