Dissipative Perturbations of 3d Hamiltonian Systems
| dc.creator | Fish, Daniel | |
| dc.date | 2005-06-18 | |
| dc.date.accessioned | 2026-07-07T04:32:10Z | |
| dc.date.available | 2026-07-07T04:32:10Z | |
| dc.description | In this article we present some results concerning natural dissipative perturbations of 3d Hamiltonian systems. Given a Hamiltonian system dx/dt = PdH, and a Casimir function S, we construct a symmetric covariant tensor g, so that the modified (so-called 'metriplectic') system dx/dt = PdH + gdS satisfies the following conditions: dH is a null vector for g, and dS(gdS)< 0. Along solutions to a dynamical system of this type, the Hamiltonian function H is preserved while the function S decreases, i.e. S is dissipated by the system. We are motivated by the example of a relaxing rigid body by P.J. Morrison in which systems of this type were introduced. | |
| dc.description | 12 pages, 7 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0506047 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0506047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58091 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 53D17; 53B50; 70H09 | |
| dc.title | Dissipative Perturbations of 3d Hamiltonian Systems | |
| dc.type | text |