Departament de Matemàtica Aplicada I
Recent Submissions
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La ingeniería y el descarte artefactual de la desalación solar de agua : las industrias de Las Salinas, Sierra Gorda y Oficina Domeyko (1872-1907)
(Universitat Politècnica de Catalunya, 2015-05-26)
Doctoral thesis
Open AccessIn the nineteenth century, at the Atacama Desert, a phenomenon of competition occurred between different industrial water desalination techniques, one of which had excellent results and a long life using solar energy. It ... -
Singular phenomena in the length spectrum of analytic convex curves
(Universitat Politècnica de Catalunya, 2015-07-06)
Doctoral thesis
Open AccessConsider 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 main goal of this thesis ... -
A contribution to the theory of convolutional codes from systems theory piont of view
(Universitat Politècnica de Catalunya, 2015-05-25)
Doctoral thesis
Open Access
Covenantee: Jāmiʻat Muḥammad al-KhāmisInformation 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 receiver, eventual ... -
Propagació d'informació en grafs i digrafs que modelen xarxes d'interconnexió simètriques
(Universitat Politècnica de Catalunya, 1999-03-11)
Doctoral thesis
Open AccessL'objectiu d'aquesta tesi és aprofondir en l'estudi d'una certa família de dígrafs, els dígrafs de prefix-cicle, donant nous detalls sobre la seva estructura, noves maneres d'enfocar el seu estudi, i dissenyant bons esquemes ... -
Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony
(Universitat Politècnica de Catalunya, 2015-07-16)
Doctoral thesis
Open AccessThe 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 of invariant manifolds ... -
Subespacios hiperinvariantes y característicos : una aproximación geométrica
(Universitat Politècnica de Catalunya, 2015-05-12)
Doctoral thesis
Open AccessThe aim of this thesis is to study the hyperinvariant and characteristic subspaces of a matrix, or equivalently, of an endomorphism of a finite dimensional vector space. We restrict ourselves to the case of matrices A with ... -
Application of dynamical system methods to galactic dynamics : from warps to double bars
(Universitat Politècnica de Catalunya, 2015-06-29)
Doctoral thesis
Open AccessMost galaxies have a warped shape when they are seen from an edge-on point of view. In this work we apply dynamical system methods to find an explanation of this phenomenon that agrees with its abundance among galaxies, ... -
Diffusion through non-transverse heteroclinic chains : a long-time instability for the NLS
(Universitat Politècnica de Catalunya, 2015-07-06)
Doctoral thesis
Open AccessEn 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 diferencials ordinàries, ... -
Dynamics and control of tethered satellite formations in low-Earth orbits
(Universitat Politècnica de Catalunya, 2015-04-24)
Doctoral thesis
Open AccessThis thesis is focused on the study of dynamics and control of a multi-tethered satellite formation, where a multi-tethered formation is made up with several satellites (agents) connected by means of cables (tethers). The ... -
Evolutionary dynamics of populations with genotype-phenotype map
(Universitat Politècnica de Catalunya, 2014-12-19)
Doctoral thesis
Open AccessIn this thesis we develop a multi-scale model of the evolutionary dynamics of a population of cells, which accounts for the mapping between genotype and phenotype as determined by a model of the gene regulatory network. ... -
Beyond the classical Stefan problem
(Universitat Politècnica de Catalunya, 2014-07-18)
Doctoral thesis
Open AccessIn this thesis we develop and analyse mathematical models describing phase change phenomena linked with novel technological applications. The models are based on modifications to standard phase change theory. The mathematical ... -
Elliptic and parabolic PDEs : regularity for nonlocal diffusion equations and two isoperimetric problems
(Universitat Politècnica de Catalunya, 2014-06-17)
Doctoral thesis
Open AccessThe thesis is divided into two parts. The first part is mainly concerned with regularity issues for integro-differential (or nonlocal) elliptic and parabolic equations. In the same way that densities of particles with ...
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