University of Surrey

Test tubes in the lab Research in the ATI Dance Research

Exponential estimates of symplectic slow manifolds

Kristiansen, KU and Wulff, C (2012) Exponential estimates of symplectic slow manifolds arXiv.

[img]
Preview
Text
1208.4219v2.pdf - ["content_typename_Submitted version (pre-print)" not defined]
Available under License : See the attached licence file.

Download (370kB) | Preview
[img]
Preview
PDF (licence)
SRI_deposit_agreement.pdf
Available under License : See the attached licence file.

Download (33kB) | Preview

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
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kristiansen, KUUNSPECIFIEDUNSPECIFIED
Wulff, CUNSPECIFIEDUNSPECIFIED
Date : 21 August 2012
Uncontrolled Keywords : math.DS, math.DS
Related URLs :
Additional Information : This is an arXiv version of the paper.
Depositing User : Symplectic Elements
Date Deposited : 01 Dec 2015 18:12
Last Modified : 19 Apr 2016 09:16
URI: http://epubs.surrey.ac.uk/id/eprint/809101

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year


Information about this web site

© The University of Surrey, Guildford, Surrey, GU2 7XH, United Kingdom.
+44 (0)1483 300800