Now showing items 1-20 of 42

• #### Assessment of the depth of anesthesia based on symbolic dynamics of the EEG ﻿

(2010)
Conference lecture
Open Access
Methodologies based on symbolic dynamics have successfully demonstrated to reflect the nonlinear behavior of biological signals. In the present study, symbolic dynamics was applied to the electroencephalogram (EEG) in ...
• #### Chaotic advection, transport and patchiness in clouds of pollution in an estuarine flow ﻿

(American Institute of Mathematical Sciences, 2001)
Article
Open Access
We present an application of the transport theory developed for area preserving dynamical systems, to the problem of pollution and in particular patchiness in clouds of pollution in partially stratified estuaries. We ...
• #### Communication through coherence in a realistic neuronal model ﻿

(Universitat Politècnica de Catalunya, 2020-07)
Master thesis
Open Access
The Communication Through Coherence (CTC) theory establishes that neural communication is much effective if the underlying oscillatory activity of both populations are phase locked, that is, the input from the emitting ...
• #### De la mecànica celeste als sistemes dinàmics: un camí d'anar i tornar ﻿

(2006-05-17)
Audiovisual
Open Access
La Mecànica Celeste estudia el moviment dels astres i, en general, tot tema relacionat amb el problema dels N cossos i les seves aplicacions a la ciència espacial. Podem considerar que el seu origen remot és el coneixement ...
• #### Detection of Lagrangian Coherent Structures in oceanic flows ﻿

(Universitat Politècnica de Catalunya, 2021-07)
Master thesis
Open Access
The Atlantic Meridional Overturning Circulation (AMOC) is a complex system of shallow and deep currents in the Atlantic Ocean which plays a crucial role in the regulation of the Earth's climate. Lagrangian Coherent Structures ...
• #### Dynamics and mission design near libration points, advanced methods for collinear points ﻿

(2000)
Article
Open Access
• #### Dynamics and mission design near libration points, advanced methods for triangular points ﻿

(2000)
Article
Open Access
The final objective of this work is to understand, analyze and compute the kinds of motion that appear on a vicinity (may be a large vicinity) of the geometrically defined equilateral points of the Earth-Moon system, as a ...
• #### Dynamics and transitions in symmetric hypercycles: the role of the hypercycle size ﻿

(Universitat Politècnica de Catalunya, 2016-07)
Master thesis
Open Access
The symmetric hypercycle with error tail has been widely studied both numerically and analytically in the last years, but there are still many open questions. In this work we will try to give an answer for a few of these ...
• #### El problema dels deu Martinis ﻿

(2005-03-09)
Audiovisual
Open Access
"El problema dels 10 martinis fou plantejat el 1981 pel matemàtic Marc Kac i es pregunta per l'estructura cantoriana de l'espectre de l’operador «almost Mathieu» o de Harper. En aquesta xerrada exposarem les motivacions ...
• #### Estudi de models de neurociència amb eines de sistemes dinàmics ﻿

(Universitat Politècnica de Catalunya, 2019-05)
Bachelor thesis
Open Access
He estudiat el treball fet per uns investigadors dins del camp dels sistemes dinàmics aplicats a la neurociència. Explicant detalladament com van obtindre les equacions que descriuen el comportament de dos variables ...
• #### Full analysis of small hypercycles with shortcircuits in prebiotic evolution ﻿

(2017-01-05)
Article
Restricted access - publisher's policy
It is known that hypercycles are sensitive to the so-called parasites and short-circuits. While the impact of parasites has been widely investigated for well-mixed and spatial hypercycles, the effect of short-circuits in ...
• #### Homoclinic and heteroclinic transfer trajectories between Lyapunov orbits in the Sun-Earth and Earth-Moon systems ﻿

(2004)
Article
Open Access
In this paper a method for finding homoclinic and heteroclinic connections between Lyapunov orbits using invariant manifolds in a given energy surface of the planar restricted circular three body problem is developed. Moreover, ...
• #### Homoclinic billiard orbits inside symmetrically perturbed ellipsoids ﻿

(2000)
Article
Open Access
The billiard motion inside an ellipsoid of ${\bf R}^{3}$ is completely integrable. If the ellipsoid is not of revolution, there are many orbits bi-asymptotic to its major axis. The set of bi-asymptotic orbits is described ...
• #### Horseshoe periodic orbits for saturn coorbital satellites ﻿

(2000)
Article
Open Access
We consider the motion of coorbital satellites in the framework of the Restricted Three-Body problem for u=6.5*10^(-9). We show a mechanism to generate horsehoe periodic orbits and we compute some families of horseshoe ...
• #### Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem ﻿

(2005)
Article
Open Access
In this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), ...
• #### Kolmogorov Theorem Revisited ﻿

(2004)
Research report
Open Access
Kolmogorov Theorem on the persistence of invariant tori of real analytic Hamiltonian systems is revisited. In this paper we are mainly concerned with the lower bound on the constant of the Diophantine condition required ...
• #### Modelització de l'activitat neuronal amb adaptació usant models de camp mitjà ﻿

(Universitat Politècnica de Catalunya, 2019-07)
Bachelor thesis
Open Access
Entendre el funcionament del cervell implica l'estudi de grans xarxes de neurones. Una manera alternativa de descriure la dinàmica col lectiva de la xarxa és en termes de mesures macroscòpiques de la població neuronal, ...
• #### Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4 ﻿

(2003)
Article
Open Access
The paper deals with diﬀerent kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ...
• #### Nonlinear dynamics in an extended neighbourhood of the translunar equilibrium point ﻿

(1995)
Article
Open Access
• #### On Birkhoff's conjecture about convex billiards ﻿

(1995)
Article
Open Access
Birkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable.