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CONTINUATION AND BIFURCATIONS OF CONCAVE CENTRAL CONFIGURATIONS IN THE FOUR AND FIVE BODY-PROBLEMS FOR HOMOGENEOUS FORCE LAWS

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dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2017
dc.date.accessioned2025-01-10T14:35:17Z
dc.date.available2025-01-10T14:35:17Z
dc.date.issued2017
dc.description.abstractTHE CENTRAL CONFIGURATIONS GIVEN BY AN EQUILATERAL TRIANGLE AND A REGULAR TETRAHEDRON WITH EQUAL MASSES AT THE VERTICES AND A BODY AT THE BARYCENTER HAVE BEEN WIDELY STUDIED IN [9] AND [14] DUE TO THE PHENOMENA OF BIFURCATION OCCURRING WHEN THE CENTRAL MASS HAS A DETERMINED VALUE ? . WE PROPOSE A VARIATION OF THIS PROBLEM SETTING THE CENTRAL MASS AS THE CRITICAL VALUE ? AND LETTING A MASS AT A VERTEX TO BE THE PARAMETER OF BIFURCATION. IN BOTH CASES, 2D AND 3D, WE VERIFY THE EXISTENCE OF BIFURCATION, THAT IS, FOR A SAME SET OF MASSES WE DETERMINE TWO NEW CENTRAL CONFIGURATIONS. THE COMPUTATION OF THE BIFURCATIONS, AS WELL AS THEIR PICTURES HAVE BEEN PERFORMED CONSIDERING HOMOGENEOUS FORCE LAWS WITH EXPONENT .
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.jmaa.2016.09.055
dc.identifier.issn1096-0813
dc.identifier.issn0022-247X
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/8083
dc.languagespa
dc.publisherJOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
dc.relation.uri10.1016/j.jmaa.2016.09.055
dc.rightsPUBLICADA
dc.titleCONTINUATION AND BIFURCATIONS OF CONCAVE CENTRAL CONFIGURATIONS IN THE FOUR AND FIVE BODY-PROBLEMS FOR HOMOGENEOUS FORCE LAWS
dc.title.alternativeCONTINUACIÓN Y BIFURCACIONES DE CONFIGURACIONES CENTRALES CÓNCAVAS EN LOS CUATRO Y CINCO PROBLEMAS CORPORALES PARA LEYES DE FUERZA HOMOGÉNEAS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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