Time transformation and reversibility of Nambu-Poisson systems
type: Item
instance of: scholarly article
title: Time transformation and reversibility of Nambu-Poisson systems
zbMATH Open document ID: 1167.37042
published in: Journal of Generalized Lie Theory and Applications
publication date: 2009-05-20T00:00:00Z
review text: The author has developed a time transformation technique for Nambu-Poisson systems with the aim to examine their structural properties. The suggested approach is based on the extension of the phase space \(\mathcal{P}\) into \(\mathcal{P}\times \mathbb{R}\), where the additional variable controls the time-stretching rate. The Nambu-Poisson structure is studied in conjunction with reversibility. As application it is shown how to construct fully explicit adaptive numerical integration methods based on splitting of the Nambu-Poisson Hamiltonians, particulary for the free rigid body problem.
Mathematics Subject Classification ID: 37M99
Mathematics Subject Classification ID: 22E70
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 34A26
zbMATH DE Number: 5555665
zbMATH Keywords: Nambu-Poisson systems
zbMATH Keywords: structural properties
zbMATH Keywords: time transformation technique
author: Klas Modin
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: s080103
OpenAlex ID: W4251182634
DOI: 10.4303/JGLTA/S080103
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description: scientific article; zbMATH DE number 5555665