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dc.contributorMartínez-Seara Alonso, M. Teresa
dc.contributorGuàrdia Munarriz, Marcel
dc.contributor.authorGiralt Miron, Mar
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2017-07-20T08:00:01Z
dc.date.available2017-07-20T08:00:01Z
dc.date.issued2017-07
dc.identifier.urihttp://hdl.handle.net/2117/106631
dc.description.abstractOn this work we prove the presence of chaotic dynamics for the classical two-body Kepler problem with a time-periodic variable gravitational coefficient using two different methods, the stretching along the path (SAP) technique and the Melnikov method. For the SAP method, a piecewise periodic constant function is taken as the time-periodic coefficient, and the chaotic dynamics are obtained for small values of angular momentum or large periods. For the Melnikov method, a sinusoidal perturbation function is taken as the time-periodic coefficient. To guarantee chaotic dynamics big values of angular momentum or small periods of the function are necessary. The classical Melnikov method could not be applied, as the critical point of the system was parabolic, not hyperbolic. Hence, some modifications to the method have been necessary.
dc.language.isoeng
dc.publisherUniversitat Politècnica de Catalunya
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Sistemes dinàmics
dc.subject.lcshDifferentiable dynamical systems
dc.subject.otherKepler Problem
dc.subject.otherChaos
dc.subject.otherMelnikov method
dc.subject.otherPeriodic solutions
dc.subject.otherStretching along the path
dc.titleChaotic dynamics of the Kepler problem with variable gravitational coefficient
dc.typeMaster thesis
dc.subject.lemacSistemes dinàmics diferenciables
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37E Low-dimensional dynamical systems
dc.identifier.slugFME-1547
dc.rights.accessOpen Access
dc.date.updated2017-07-20T05:23:16Z
dc.audience.educationlevelMàster
dc.audience.mediatorUniversitat Politècnica de Catalunya. Facultat de Matemàtiques i Estadística
dc.audience.degreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)


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