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dc.contributor.authorLăzureanu, Cristian-
dc.contributor.authorPetrişor, Camelia-
dc.date.accessioned2021-12-22T09:47:12Z-
dc.date.available2021-12-22T09:47:12Z-
dc.date.issued2018-
dc.identifier.citationLăzureanu, Cristian. On the dynamics of a Hamilton-Poisson system. Timişoara: Editura Politehnica, 2018en_US
dc.identifier.urihttp://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.abstractThe 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.isoenen_US
dc.publisherTimişoara : Editura Politehnicaen_US
dc.relation.ispartofseriesBuletinul ştiinţific al Universităţii „Politehnica” din Timişoara, România. Seria matematică - fizică, Vol. 63(77), issue 2 (2018), p. 14-28-
dc.subjectDinamica sistemeloren_US
dc.subjectStabilitateen_US
dc.subjectHamilton-Poisson dynamicsen_US
dc.subjectEnergy-Casimir mappingen_US
dc.subjectStabilityen_US
dc.subjectPeriodic orbitsen_US
dc.subjectHeteroclinic orbitsen_US
dc.subjectMid-point ruleen_US
dc.titleOn the dynamics of a Hamilton-Poisson system [articol]en_US
dc.typeArticleen_US
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