Please use this identifier to cite or link to this item:
https://open.uns.ac.rs/handle/123456789/14437
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Simić, Srboljub | en_US |
dc.date.accessioned | 2020-03-03T14:56:09Z | - |
dc.date.available | 2020-03-03T14:56:09Z | - |
dc.date.issued | 2000-12-01 | - |
dc.identifier.issn | 00207462 | en_US |
dc.identifier.uri | https://open.uns.ac.rs/handle/123456789/14437 | - |
dc.description.abstract | In this paper we consider conservation laws of the third degree with respect to ẋ of the one-dimensional time-dependent Lagrangian systems ẍ = - ∂Π/∂x. The analysis is based on the Noetherian approach. It is shown that the existence of conservation laws, as well as their structure depend on the solution of a system of first-order partial differential equations - so-called generalized Killing's equations. It is demonstrated that due to specific structure of the generators of infinitesimal transformations a rather general algorithm for derivation of cubic invariants could be established. Several types of potential Π(t,x) which admit the existence of cubic invariants are determined. | en |
dc.relation.ispartof | International Journal of Non-Linear Mechanics | en |
dc.title | Cubic invariants of one-dimensional Lagrangian systems | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.doi | https://doi.org/10.1016/S0020-7462(99)00021-9 | - |
dc.identifier.scopus | 2-s2.0-0003018248 | - |
dc.identifier.url | https://api.elsevier.com/content/abstract/scopus_id/0003018248 | - |
dc.description.version | Unknown | en_US |
dc.relation.lastpage | 345 | en |
dc.relation.firstpage | 333 | en |
dc.relation.issue | 2 | en |
dc.relation.volume | 35 | en |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
crisitem.author.dept | Prirodno-matematički fakultet, Departman za matematiku i informatiku | - |
crisitem.author.orcid | 0000-0003-3726-2007 | - |
crisitem.author.parentorg | Prirodno-matematički fakultet | - |
Appears in Collections: | PMF Publikacije/Publications |
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