Fontich, Ernest, 1955-Túnica Rosich, Marc2022-05-192022-05-192021-06https://hdl.handle.net/2445/185783Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Ernest Fontich[en] Melnikov method is a method which aims to study the splitting between the stable and unstable manifold of fixed points or periodic orbits of dynamical systems when a perturbation is aplied. In this dissertation, we introduce this method besides a study of stable and unstable manifolds of saddle points.76 p.application/pdfcatcc-by-nc-nd (c) Marc Túnica Rosich, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/es/Equacions diferencials ordinàriesTreballs de fi de grauSistemes dinàmics diferenciablesSistemes hamiltoniansPertorbació (Matemàtica)Ordinary differential equationsBachelor's thesesDifferentiable dynamical systemsHamiltonian systemsPerturbation (Mathematics)info:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess