Exponential estimates of symplectic slow manifolds
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Kristiansen, KU and Wulff, Claudia (2012) Exponential estimates of symplectic slow manifolds arXiv.
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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 | |||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||
| Authors : |
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| Date : | 21 August 2012 | |||||||||
| Uncontrolled Keywords : | math.DS, math.DS | |||||||||
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| Additional Information : | This is an arXiv version of the paper. | |||||||||
| Depositing User : | Symplectic Elements | |||||||||
| Date Deposited : | 01 Dec 2015 18:12 | |||||||||
| Last Modified : | 06 Jul 2019 05:15 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/809101 |
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