dc.contributor.author |
Álvarez-Ramírez, Martha |
dc.contributor.author |
Corbera Subirana, Montserrat |
dc.contributor.author |
Cors Iglesias, Josep Maria |
dc.contributor.author |
García, Alberto |
dc.date |
2017 |
dc.identifier |
https://ddd.uab.cat/record/221364 |
dc.identifier |
urn:10.1016/j.aml.2017.04.020 |
dc.identifier |
urn:oai:ddd.uab.cat:221364 |
dc.identifier |
urn:scopus_id:85020444165 |
dc.identifier |
urn:articleid:18735452v74p74 |
dc.identifier |
urn:gsduab:4551 |
dc.identifier |
urn:wos_id:000407981000011 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
|
dc.relation |
Ministerio de Economía y Competitividad MTM2013-40998-P |
dc.relation |
Applied Mathematics Letters ; Vol. 74 (December 2017), p. 74-78 |
dc.rights |
open access |
dc.rights |
Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/4.0/ |
dc.subject |
Singularities |
dc.subject |
Collisions |
dc.subject |
Non-gravitational interactions |
dc.title |
A note on a family of non-gravitational central force potentials in dimension one |
dc.type |
Article |
dc.description.abstract |
In this work, we study a one-parameter family of differential equations and the different scenarios that arise with the change of parameter. We remark that these are not bifurcations in the usual sense but a wider phenomenon related with changes of continuity or differentiability. We offer an alternative point of view for the study for the motion of a system of two particles which will always move in some fixed line, we take R for the position space. If we fix the center of mass at the origin, the system reduces to that of a single particle of unit mass in a central force field. We take the potential energy function U(x)= x where x is the position of the single particle and β is some positive real number. |