Time transformation and reversibility of Nambu–Poisson systems
(2009) In Journal of Generalized Lie Theory and Applications 3(1). p.39-52- Abstract
- A time transformation technique for Nambu–Poisson systems is developed, and its structural
properties are examined. The approach is based on extension of the phase space P
into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown
that time transformation of a system on P can be realised as an extended system on P¯,
with an extended Nambu–Poisson structure. In addition, reversible systems are studied in
conjunction with the Nambu–Poisson structure. The application in mind is adaptive numerical
integration by splitting of Nambu–Poisson Hamiltonians. As an example, a novel
integration method for the rigid body problem is presented and analysed.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/1539227
- author
- Modin, Klas LU
- organization
- publishing date
- 2009
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Journal of Generalized Lie Theory and Applications
- volume
- 3
- issue
- 1
- pages
- 39 - 52
- publisher
- Ashdin Publishing
- external identifiers
-
- scopus:84973091596
- ISSN
- 1736-5279
- language
- English
- LU publication?
- yes
- additional info
- The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
- id
- 42f33764-58e7-41ae-9d1d-b43a169c1d1e (old id 1539227)
- alternative location
- http://www.dinahgroup.com/content/jglta/v3_n1_3.pdf
- http://www.ashdin.com/journals/jglta/2009/1/issue1.htm
- date added to LUP
- 2016-04-04 07:19:10
- date last changed
- 2022-04-23 08:07:48
@article{42f33764-58e7-41ae-9d1d-b43a169c1d1e, abstract = {{A time transformation technique for Nambu–Poisson systems is developed, and its structural<br/><br> properties are examined. The approach is based on extension of the phase space P<br/><br> into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown<br/><br> that time transformation of a system on P can be realised as an extended system on P¯,<br/><br> with an extended Nambu–Poisson structure. In addition, reversible systems are studied in<br/><br> conjunction with the Nambu–Poisson structure. The application in mind is adaptive numerical<br/><br> integration by splitting of Nambu–Poisson Hamiltonians. As an example, a novel<br/><br> integration method for the rigid body problem is presented and analysed.}}, author = {{Modin, Klas}}, issn = {{1736-5279}}, language = {{eng}}, number = {{1}}, pages = {{39--52}}, publisher = {{Ashdin Publishing}}, series = {{Journal of Generalized Lie Theory and Applications}}, title = {{Time transformation and reversibility of Nambu–Poisson systems}}, url = {{http://www.dinahgroup.com/content/jglta/v3_n1_3.pdf}}, volume = {{3}}, year = {{2009}}, }