کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4609294 1338505 2016 46 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exponential estimates of symplectic slow manifolds
ترجمه فارسی عنوان
برآورد های ماتریس های آهسته
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper we prove the existence of an almost invariant symplectic slow manifold for analytic Hamiltonian slow–fast systems with finitely many slow degrees of freedom for which the error field is exponentially small. We allow for infinitely many fast degrees of freedom. The method we use is motivated by a paper of MacKay from 2004. The method does not notice resonances, and therefore we do not pose any restrictions on the motion normal to the slow manifold other than it being fast and analytic. We also present a stability result and obtain a generalization of a result of Gelfreich and Lerman on an invariant slow manifold to (finitely) many fast degrees of freedom.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 261, Issue 1, 5 July 2016, Pages 56–101
نویسندگان
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