Publicación:
PHASE PORTRAITS OF LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH HAMILTONIAN FUNCTION OF DEGREE 5 OF THE FORM H=H_1(X)+H_2(Y)

dc.creatorYOHANNA PAULINA MANCILLA MARTÍNEZ
dc.creatorJOSÉ CLAUDIO VIDAL DÍAZ
dc.date2019
dc.date.accessioned2025-01-10T15:11:24Z
dc.date.available2025-01-10T15:11:24Z
dc.date.issued2019
dc.description.abstractWE STUDY THE PHASE PORTRAITS ON THE POINCARE DISC FOR ALL THE LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS OF DEGREE 5 WITH HAMILTONIAN FUNCTION H(X,Y) = H-1(X) + H-2(Y), WHERE H-1(X) = 1/2X(2) + A(3)/3X(3) + A(4)/4X(4) + A(5)/5X(5) AND H-2(Y) = 1/2Y(2) + B(3)/3Y(3) + B(4)/4Y(4) + B(5)/5Y(5) AS FUNCTION OF THE SIX REAL PARAMETERS A(3), A(4), A(5), B(3), B(4) AND B(5) WITH A(5)B(5) NOT EQUAL 0. WE CHARACTERIZE THE TYPE AND MULTIPLICITY OF THE ROOTS OF THE POLYNOMIALS (P) OVER CAP (Y) = 1+ B(3)Y + B(4)Y(2) + B(5)Y(3) AND (Q) OVER CAP (X) = 1 + A(3)X A(4)X + A(5)X(3) AND WE PROVE THAT THE FINITE EQUILIBRIA ARE SADDLES, CENTERS, CUSPS OR THE UNION OF TWO HYPERBOLIC SECTORS. FOR THE INFINITE EQUILIBRIA WE FOUND THAT THERE ONLY EXIST TWO NODES ON THE POINCARE DISC WITH OPPOSITE STABILITY. WE ALSO CHARACTERIZE THE SEPARATRICES OF THE EQUILIBRIA AND ANALYZE THE POSSIBLE CONNECTIONS BETWEEN THEM. AS A COMPLEMENT WE USE THE ENERGY LEVEL TO COMPLETE THE GLOBAL PHASE PORTRAIT.
dc.formatapplication/pdf
dc.identifier.doi10.3934/dcds.2019004
dc.identifier.issn1553-5231
dc.identifier.issn1078-0947
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/10846
dc.languagespa
dc.publisherDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
dc.relation.uri10.3934/dcds.2019004
dc.rightsPUBLICADA
dc.titlePHASE PORTRAITS OF LINEAR TYPE CENTERS OF POLYNOMIAL HAMILTONIAN SYSTEMS WITH HAMILTONIAN FUNCTION OF DEGREE 5 OF THE FORM H=H_1(X)+H_2(Y)
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
ubb.SedeCONCEPCIÓN
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