Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/63023
 Title: On the local and global phase portrait of the 1-dimensional complex equation $z{\dot}= f (z)$ Author: Song, Jieyao Director/Tutor: Fontich, Ernest, 1955-Jarque i Ribera, Xavier Keywords: Equacions diferencials ordinàriesVarietats (Matemàtica)Tesis de màsterOrdinary differential equationsManifolds (Mathematics)Masters theses Issue Date: 13-Sep-2014 Abstract: This 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. Note: Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2014, Director: Ernest Fontich i Xavier Jarque URI: http://hdl.handle.net/2445/63023 Appears in Collections: Màster Oficial - Matemàtica Avançada

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