dc.date.accessioned2020-08-14T20:43:07Z
dc.date.accessioned2022-10-18T23:41:04Z
dc.date.available2020-08-14T20:43:07Z
dc.date.available2022-10-18T23:41:04Z
dc.date.created2020-08-14T20:43:07Z
dc.date.issued2000
dc.identifierhttp://hdl.handle.net/10533/245955
dc.identifier15000001
dc.identifierWOS:000089821400003
dc.identifierno scielo
dc.identifiereid=2-s2.0-0346986089
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4477242
dc.description.abstractWe 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.languageeng
dc.relationhttps://link.springer.com/article/10.1007/PL00001422
dc.relation10.1007/PL00001422
dc.relationinstname: ANID
dc.relationreponame: Repositorio Digital RI2.0
dc.rightsinfo:eu-repo/semantics/openAccess
dc.titleHyperbolic-like solutions for singular Hamiltonian Systems
dc.typeArticulo


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