Fontich, Ernest, 1955-Jarque i Ribera, XavierSong, Jieyao2015-02-172015-02-172014-09-13https://hdl.handle.net/2445/63023Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Ernest Fontich i Xavier JarqueThis work consists of studying the complex first order differential equation $z{\dot} = \dfrac{dz}{dt}=f(z),\hspace{2cm} z \in\mathbb{C},t\in\mathbb{R}$ where $f$ is an analytic function of $C$ except, possibly, at isolated singularities. This is a rather general family of complex functions that includes polynomial, rational, holomorphic and entire functions, and functions with isolated essential singularities.64 p.application/pdfengcc-by-sa (c) Jieyao Song, 2014http://creativecommons.org/licenses/by-sa/3.0/es/Equacions diferencials ordinàriesVarietats (Matemàtica)Treballs de fi de màsterOrdinary differential equationsManifolds (Mathematics)Master's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess