dc.date.accessioned | 2020-08-14T20:43:07Z | |
dc.date.accessioned | 2022-10-18T23:41:04Z | |
dc.date.available | 2020-08-14T20:43:07Z | |
dc.date.available | 2022-10-18T23:41:04Z | |
dc.date.created | 2020-08-14T20:43:07Z | |
dc.date.issued | 2000 | |
dc.identifier | http://hdl.handle.net/10533/245955 | |
dc.identifier | 15000001 | |
dc.identifier | WOS:000089821400003 | |
dc.identifier | no scielo | |
dc.identifier | eid=2-s2.0-0346986089 | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4477242 | |
dc.description.abstract | We study the existence of unbounded solutions of singular Hamiltonian systems: q¨+∇V(q)=0,q¨+∇V(q)=0, where V(q)∼−1|q|αV(q)∼−1|q|α is a potential with a singularity. For a class of singular potentials with a strong force α>2α>2, we show the existence of at least one hyperbolic-like solutions. More precisely, for ven H>0H>0 and θ+,θ−∈SN−1θ+,θ−∈SN−1, we find a solution q(t) of (*) satisfying 12|q˙|2+V(q)=H,12|q˙|2+V(q)=H, |q(t)|⟶∞ast⟶±∞|q(t)|⟶∞ast⟶±∞ limt→±∞q(t)|q(t)|=θ±. | |
dc.language | eng | |
dc.relation | https://link.springer.com/article/10.1007/PL00001422 | |
dc.relation | 10.1007/PL00001422 | |
dc.relation | instname: ANID | |
dc.relation | reponame: Repositorio Digital RI2.0 | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.title | Hyperbolic-like solutions for singular Hamiltonian Systems | |
dc.type | Articulo | |