Browsing Departament de Matemàtica Aplicada I (fins octubre de 2015) by Subject "517"

Now showing items 1-4 of 4

Analytic and numerical tools for the study of quasi-periodic motions in hamiltonian systems.

Luque Jimenez, Alejandro (Date of defense: 2010-01-12)

És un fet ben conegut que les solucions quasi-periòdiques juguen un paper rellevant a l'hora d'entendre la dinàmica de problemes amb formulació hamiltoniana, els quals apareixen en una gran quantitat d'aplicacions en ...

Explicit integration of some integrable systems of classical mechanics

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 classical generalization ...

Singular phenomena in the length spectrum of analytic convex curves

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 main goal of this thesis ...

Study of invariant manifolds in two different problems : the Hopf-zero singularity and neural synchrony

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 of invariant manifolds ...