A note on a family of non-gravitational central force potentials in dimension one
Álvarez-Ramírez, Martha (Universidad Autónoma Metropolitana - Unidad Iztapalapa. Departamento de Matemáticas (México))
Corbera Subirana, Montserrat (Universitat de Vic - Universitat Central de Catalunya. Departament de Tecnologies Digitals i de la Informació)
Cors Iglesias, Josep Maria (Universitat Politècnica de Catalunya. Departament de Matemàtiques)
García, A. (Universidad Autónoma Metropolitana - Unidad Iztapalapa. Departamento de Matemáticas (México))

Date:	2017
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.
Note:	Número d'acord de subvenció MINECO/MTM2013-40998-P
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial 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.
Language:	Anglès
Document:	article ; recerca ; acceptedVersion
Subject:	Singularities ; Collisions ; Non-gravitational interactions
Published in:	Applied Mathematics Letters, Vol. 74 (December 2017) , p. 74-78, ISSN 1873-5452

DOI: 10.1016/j.aml.2017.04.020

Postprint 7 p, 360.3 KB

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