dc.contributor.author |
Falconi, M |
|
dc.contributor.author |
Lacomba, EA |
|
dc.contributor.author |
Vidal, C |
|
dc.date.accessioned |
2011-01-22T10:26:17Z |
|
dc.date.available |
2011-01-22T10:26:17Z |
|
dc.date.issued |
2007 |
|
dc.identifier.issn |
1678-7544 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/2276 |
|
dc.description.abstract |
In this work we study mechanical systems defined by homogeneous polynomial potentials of degree 4 on the plane, when the potential has a definite or semi-definite sign and the energy is non-negative. We get a global description of the flow for the non-negative potential case. Some partial results are obtained for the more complicated case of non-positive potentials. In contrast with the non-negative case, we prove that the flow is complete and we find special periodic solutions, whose stability is analyzed. By using results from Ziglin theory following Morales-Ruiz and Ramis we check the non-integrability of the Hamiltonian systems in terms of the potential parameters. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
On the dynamics of mechanical systems with homogeneous polynomial potentials of degree 4 |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1138 |
|
dc.source.novolpages |
38(2):301-333 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
hamiltonian vector fields |
|
dc.subject.keywords |
homogeneous polynomial potentials |
|
dc.subject.keywords |
global flow |
|
dc.relation.journal |
Bulletin of the Brazilian Mathematical Society |
|