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Exponential estimates of symplectic slow manifolds

Wulff, C and Kristiansen, K (2016) Exponential estimates of symplectic slow manifolds JOURNAL OF DIFFERENTIAL EQUATIONS, 261 (1). pp. 56-101.

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Abstract

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.

Item Type: Article
Subjects : Mathematics
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Wulff, CUNSPECIFIEDUNSPECIFIED
Kristiansen, KUNSPECIFIEDUNSPECIFIED
Date : 5 July 2016
Identification Number : 10.1016/j.jde.2016.03.003
Copyright Disclaimer : © Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Related URLs :
Additional Information : © Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Depositing User : Symplectic Elements
Date Deposited : 18 Mar 2016 12:21
Last Modified : 20 Apr 2016 07:56
URI: http://epubs.surrey.ac.uk/id/eprint/810157

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