Um, Laurence Emilie (Date of defense: 2015-05-25)
Information is such a valuable good of our time. Given that the transmission of information has always been subject to precision problems, knowing the obstacles existing between the transmitter and the ...
Tamarit Sariol, Anna (Date of defense: 2015-07-06)
Consider the billiard map defined inside an analytic closed strictly convex curve Q. Given q>2 and 0<p<q relatively prime integers, there exist at least two (p,q)-periodic trajectories inside Q. The ...
Granados Corsellas, Albert (Date of defense: 2012-09-17)
In the first part, we formally study the phenomenon of the so-called big bang bifurcations, both for one and two-dimensional piecewise-smooth maps with a single switching boundary. These are a special ...
Simon López, Adrià (Date of defense: 2015-07-06)
En l'article [CKSTT] els autors proven una inestabilitat global per a l'equació de Schrödinger cúbica desenfocant en el tor 2-dimensional. Per aconseguir-ho, detecten un sistema finit d'equacions ...
González Alonso, Víctor (Date of defense: 2013-07-08)
In this thesis we study the geography of irregular complex projective (or compact Kähler) varieties, paying special attention to the existence of fibrations. The thesis is divided into two parts. In ...
Castejón i Compnay, Oriol (Date of defense: 2015-07-16)
The main object of study of this thesis are invariant manifolds in the field of dynamical systems. We deal with two different and independent topics, namely, the study of exponentially small splitting ...
Basak Gancheva, Inna (Date of defense: 2011-11-28)
The main objective of the thesis is the analytical and geometrical study of several integrable finite-dimentional dynamical systems of classical mechanics, which are closely related, namely: - the ...
Barbieri Solha, Romero (Date of defense: 2013-10-21)
This thesis shows an approach to geometric quantisation of integrable systems. It extends some results by Guillemin, Kostant, Rawnsley, Sniatycki and Sternberg in geometric quantisation, considering ...
Ros, Xavier (Date of defense: 2014-06-19)
The main topic of the thesis is the study of Elliptic PDEs. It is divided into three parts: (I) integro-differential equations, (II) stable solutions to reaction-diffusion problems, and (III) weighted ...
Gonchenko, Marina (Date of defense: 2013-04-29)
The goal of this thesis is the study of homoclinic orbits in conservative systems (area-preserving maps and Hamiltonian systems). We consider homoclinic (bi-asymptotic) orbits either to saddle periodic ...