Exponential estimates of symplectic slow manifolds
Tools
Tools
Tools
Kristiansen, KU and Wulff, Claudia (2012) Exponential estimates of symplectic slow manifolds arXiv.
|
Text
1208.4219v2.pdf - ["content_typename_Submitted version (pre-print)" not defined] Available under License : See the attached licence file. Download (370kB) | Preview |
|
|
PDF (licence)
SRI_deposit_agreement.pdf Available under License : See the attached licence file. Download (33kB) | Preview |
Official URL: http://arxiv.org/abs/1208.4219v2
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 : |
|
|||||||||
| 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 : | 05 Jul 2017 13:29 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/809101 |
Actions (login required)
 |
View Item |
Downloads
Downloads per month over past year