| Title | Time transformation and reversibility of Nambu–Poisson systems |
| Authors | Klas Modin |
| Alternative Location | http://www.dinahgroup.com/c..., Restricted Access |
| Alternative Location | http://www.ashdin.com/journ..., Restricted Access |
| Publication | Journal of Generalized Lie Theory and Applications |
| Year | 2009 |
| Volume | 3 |
| Issue | 1 |
| Pages | 39 - 52 |
| Document type | Article |
| Status | Published |
| Quality controlled | Yes |
| Language | eng |
| Abstract English | A time transformation technique for Nambu–Poisson systems is developed, and its structural<br> properties are examined. The approach is based on extension of the phase space P<br> into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown<br> that time transformation of a system on P can be realised as an extended system on P¯,<br> with an extended Nambu–Poisson structure. In addition, reversible systems are studied in<br> conjunction with the Nambu–Poisson structure. The application in mind is adaptive numerical<br> integration by splitting of Nambu–Poisson Hamiltonians. As an example, a novel<br> integration method for the rigid body problem is presented and analysed. |
| ISBN/ISSN/Other | ISSN: 17365279 |
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