Publicación:
POINCAR-PONTRYAGIN-MELNIKOV FUNCTIONS FOR A TYPE OF PERTURBED DEGENERATE HAMILTONIAN EQUATIONS

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dc.creatorSALOMON REBOLLO PERDOMO
dc.date2017
dc.date.accessioned2025-01-10T14:55:56Z
dc.date.available2025-01-10T14:55:56Z
dc.date.issued2017
dc.description.abstractIN THIS PAPER WE CONSIDER POLYNOMIAL PERTURBATIONS OF A FAMILY OF POLYNOMIAL HAMILTONIAN EQUATIONS WHOSE ASSOCIATED HAMILTONIAN IS NOT TRANSVERSAL TO INFINITY, AND ITS COMPLEXIFICATION IS NOT A MORSE POLYNOMIAL. WE LOOK FOR AN ALGORITHM TO COMPUTE THE FIRST NON-VANISHING POINCARÉ?PONTRYAGIN?MELNIKOV FUNCTION OF THE DISPLACEMENT FUNCTION ASSOCIATED WITH THE PERTURBED EQUATION. WE SHOW THAT THE ALGORITHM OF THE CASE WHEN THE HAMILTONIAN IS TRANSVERSAL TO INFINITY AND ITS COMPLEXIFICATION IS A MORSE POLYNOMIAL CAN BE EXTENDED TO OUR FAMILY OF PERTURBED EQUATIONS. WE APPLY THE RESULT TO STUDY THE MAXIMUM NUMBER OF ZEROS OF THE FIRST NON-VANISHING POINCARÉ?PONTRYAGIN?MELNIKOV FUNCTION ASSOCIATED WITH SOME PERTURBED HAMILTONIAN EQUATIONS.
dc.formatapplication/pdf
dc.identifier.doi10.1007/s12346-015-0185-5
dc.identifier.issn1662-3592
dc.identifier.issn1575-5460
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/9615
dc.languagespa
dc.publisherQUALITATIVE THEORY OF DYNAMICAL SYSTEMS
dc.relation.uri10.1007/s12346-015-0185-5
dc.rightsPUBLICADA
dc.titlePOINCAR-PONTRYAGIN-MELNIKOV FUNCTIONS FOR A TYPE OF PERTURBED DEGENERATE HAMILTONIAN EQUATIONS
dc.title.alternativeFUNCIONES DE POINCARÉ-PONTRYAGIN-MELNIKOV PARA UN TIPO DE ECUACIONES HAMILTONIANAS DEGENERADAS PERTURBADAS
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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