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STABILITY OF THE RELATIVE EQUILIBRIA IN THE TWO-BODY PROBLEM ON THE SPHERE

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dc.creatorCLAUDIO FERNANDO SIERPE SIERPE
dc.creatorJAIME EDUARDO ANDRADE BUSTOS
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2021
dc.date.accessioned2025-01-10T15:24:26Z
dc.date.available2025-01-10T15:24:26Z
dc.date.issued2021
dc.description.abstractWE CONSIDER THE 2-BODY PROBLEM IN THE SPHERE S2. THIS PROBLEM IS MODELED BY A HAMILTONIAN SYSTEM WITH 4 DEGREES OF FREEDOM AND, FOLLOWING THE APPROACH GIVEN IN [4], ALLOWS US TO REDUCE THE STUDY TO A SYSTEM OF 2 DEGREES OF FREEDOM. IN THIS WORK WE WILL USE THEORETICAL TOOLS SUCH AS NORMAL FORMS AND SOME NONLINEAR STABILITY RESULTS ON HAMILTONIAN SYSTEMS FOR DEMONSTRATING A SERIES OF RESULTS THAT WILL CORRESPOND TO THE OPEN PROBLEMS PROPOSED IN [4] RELATED TO THE NONLINEAR STABILITY OF THE RELATIVE EQUILIBRIA. MOREOVER, WE STUDY THE EXISTENCE OF HAMILTONIAN PITCHFORK AND CENTER-SADDLE BIFURCATIONS.
dc.formatapplication/pdf
dc.identifier.doi10.1134/S1560354721040067
dc.identifier.issn1468-4845
dc.identifier.issn1560-3547
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11867
dc.languagespa
dc.publisherREGULAR & CHAOTIC DYNAMICS
dc.relation.uri10.1134/S1560354721040067
dc.rightsPUBLICADA
dc.titleSTABILITY OF THE RELATIVE EQUILIBRIA IN THE TWO-BODY PROBLEM ON THE SPHERE
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionRECTORIA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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