dc.contributor.author |
Lăzureanu, Cristian |
|
dc.contributor.author |
Petrişor, Camelia |
|
dc.date.accessioned |
2021-12-22T09:47:12Z |
|
dc.date.available |
2021-12-22T09:47:12Z |
|
dc.date.issued |
2018 |
|
dc.identifier.citation |
Lăzureanu, Cristian. On the dynamics of a Hamilton-Poisson system. Timişoara: Editura Politehnica, 2018 |
en_US |
dc.identifier.uri |
http://primo.upt.ro:1701/primo-explore/search?query=any,contains,On%20the%20dynamics%20of%20a%20Hamilton-Poisson%20system&tab=default_tab&search_scope=40TUT&vid=40TUT_V1&lang=ro_RO&offset=0 Link Primo |
|
dc.description.abstract |
The dynamics of a three-dimensional Hamilton-Poisson system is closely related to its constants of motion, the energy or Hamiltonian function H and a Casimir C of the corresponding Lie algebra. The orbits of the system are included in the intersection of the level sets H = constant and C = constant. Furthermore, for some three-dimensional Hamilton-Poisson systems, connections between the associated energy-Casimir mapping (H,C) and some of their dynamic properties were reported. In order to detect new connections, we construct a Hamilton-Poisson system using two smooth functions as its constants of motion. The new system has infinitely many Hamilton-Poisson realizations. We study the stability of the equilibrium points and the existence of periodic orbits. Using numerical integration we point out four pairs of heteroclinic orbits. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
Timişoara : Editura Politehnica |
en_US |
dc.relation.ispartofseries |
Buletinul ştiinţific al Universităţii „Politehnica” din Timişoara, România. Seria matematică - fizică, Vol. 63(77), issue 2 (2018), p. 14-28 |
|
dc.subject |
Dinamica sistemelor |
en_US |
dc.subject |
Stabilitate |
en_US |
dc.subject |
Hamilton-Poisson dynamics |
en_US |
dc.subject |
Energy-Casimir mapping |
en_US |
dc.subject |
Stability |
en_US |
dc.subject |
Periodic orbits |
en_US |
dc.subject |
Heteroclinic orbits |
en_US |
dc.subject |
Mid-point rule |
en_US |
dc.title |
On the dynamics of a Hamilton-Poisson system [articol] |
en_US |
dc.type |
Article |
en_US |