Mostra el registre parcial de l'element
| dc.contributor | Fagella Rabionet, Núria | |
| dc.creator | Millán Carrasco, Albert | |
| dc.date | 2017-04-24T08:35:04Z | |
| dc.date | 2017-04-24T08:35:04Z | |
| dc.date | 2016-06-27 | |
| dc.date.accessioned | 2024-12-16T10:24:10Z | |
| dc.date.available | 2024-12-16T10:24:10Z | |
| dc.identifier | http://hdl.handle.net/2445/109926 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17223 | |
| dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2016, Director: Núria Fagella Rabionet | |
| dc.description | When a holomorphic function is iterated, it generates a dynamic system on the complex plane. In this project, we describe both the local and global behavior of the different orbits of a rational map on the complex plane (or the Riemann sphere). We mainly concentrate in the study of the dynamical plane (where initial conditions and orbits live) although we briefly discuss one parameter families of polynomials and their bifurcation loci, like the well known Mandelbrot set. Towards the end, we experiment with a singular perturbation of a family of cubic polynomials and explore the drastic changes that occur in the topology of their Julia sets. | |
| dc.format | 58 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | cc-by-nc-nd (c) Albert Millán Carrasco | |
| dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/es | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | |
| dc.subject | Funcions holomorfes | |
| dc.subject | Treballs de fi de grau | |
| dc.subject | Sistemes dinàmics diferenciables | |
| dc.subject | Dinàmica topològica | |
| dc.subject | Polinomis | |
| dc.subject | Pertorbacions singulars (Matemàtica) | |
| dc.subject | Nombres complexos | |
| dc.subject | Holomorphic functions | |
| dc.subject | Bachelor's theses | |
| dc.subject | Differentiable dynamical systems | |
| dc.subject | Topological dynamics | |
| dc.subject | Polynomials | |
| dc.subject | Singular perturbations (Mathematics) | |
| dc.subject | Complex numbers | |
| dc.title | Iteration of holomorphic functions in the complex plane | |
| dc.type | info:eu-repo/semantics/bachelorThesis |
| Fitxers | Grandària | Format | Visualització |
|---|---|---|---|
|
No hi ha fitxers associats a aquest element. |
|||