Browsing by Contributor "Martínez-Seara Alonso, M. Teresa"
Now showing items 1-15 of 15
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Càlcul de l'escissió de separatrius usant tècniques de matching complex i ressurgència aplicades a l'equació de Hamilton-Jacobi
(Universitat Politècnica de Catalunya, 2006-07-10)
Doctoral thesis
Open AccessL'objecte del nostre estudi és el sistema del pèndol simple amb una pertorbació ràpidament oscil·lant de període petit respecte el temps, però el paràmetre de pertorbació no serà necessàriament petit. El període de la ... -
Chaotic dynamics of the Kepler problem with variable gravitational coefficient
(Universitat Politècnica de Catalunya, 2017-07)
Master thesis
Open AccessOn this work we prove the presence of chaotic dynamics for the classical two-body Kepler problem with a time-periodic variable gravitational coefficient using two different methods, the stretching along the path (SAP) ... -
Computation of periodic orbits and their invariant manifolds in the RTBP
(Universitat Politècnica de Catalunya, 2014-07)
Master thesis
Open AccessThis project is a study of the RTBP, in particular of a modification of this problem devised to study orbits of the Moon. Some parts of the project are done analytically while others numerically. The analytical part focuses ... -
Critical velocity in kink solutions of the sine-Gordon equation
(Universitat Politècnica de Catalunya, 2017-07)
Master thesis
Open AccessThe goal of this work is to present a way to deduce the value of the critical velocity observed in soliton-like solutions of a perturbed version of the sine-Gordon equation. To do so, an ODE system is obtained from the ... -
Global instability in the elliptic restricted three body problem
(Universitat Politècnica de Catalunya, 2014-06-16)
Doctoral thesis
Open AccessThe goal of this thesis is to show global instability or Arnold's diffusion in the elliptic restricted three body problem (ERTBP) by proving the existence of pseudo-trajectories diffusing along the phase space for certain ... -
Instabilities in Hamiltonian systems
(Universitat Politècnica de Catalunya, 2017-07)
Master thesis
Open AccessIn 1964, V. I. Arnol'd proved the existence of nearly-integrable Hamiltonian systems which have global instabilities (global chaotic behaviour). This phenomenon is nowadays termed under the name "Arnol'd diffusion". One ... -
Local and global phenomena in piecewise-defined systems: from big bang bifurcations to splitting of heteroclinic manifolds
(Universitat Politècnica de Catalunya, 2012-09-17)
Doctoral thesis
Open AccessIn 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 type of organizing ... -
Machine Learning methods in incompressible fluid dynamics
(Universitat Politècnica de Catalunya, 2024-07-04)
Master thesis
Restricted access - confidentiality agreementTrobar solucions d'EDPs reformulant-les en un problema de minimització és una tasca difícil a causa de la presència d'un nombre infinit de mínims locals i a la no convexitat genèrica del funcional. En aquesta tesi de màster, ... -
Non-smooth dynamics in integrate-and-fire neuron models with dynamic threshold
(Universitat Politècnica de Catalunya, 2013-10)
Master thesis
Open AccessThe aim of this work is to introduce and study simple neuron models with a dynamic threshold: The integrate and fire with dynamic threshold and a resonate and fire with dynamic threshold. The last model is a new model ... -
On the role of oscillatory dynamics in neural communication
(Universitat Politècnica de Catalunya, 2019-04-04)
Doctoral thesis
Open AccessIn this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ... -
Periodic motions in coupled blocks with periodic forcing
(Universitat Politècnica de Catalunya, 2015-02)
Master thesis
Open AccessThe purpose of this report is to study the dynamics of rigid blocks subjected to an earthquake ground motion. Such study could predict whether a rigid body overturns or remains standing. In particular, three cases are ... -
Periodic orbits in non-smooth systems with impact
(Universitat Politècnica de Catalunya, 2014-10)
Master thesis
Open AccessIn this project we will study time-dependent non smooth systems with impatcs. We will focus in two models: the rocking block model and an oscillator with impacts. We will show how to compute, analitycally and numerically, ... -
Second species periodic solutions for the three body problem
(Universitat Politècnica de Catalunya, 2020-07)
Master thesis
Open AccessWe are going to explain the construction of second-species periodic solutions for the Restricted Planar Circular 3-Body Problem. These solutions, whose existence had been conjectured by Poincaré, are referred to periodic ... -
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 ... -
Unstable motions in the three body problem
(Universitat Politècnica de Catalunya, 2023-06-30)
Doctoral thesis
Open Access(English) The 3 Body Problem (3BP) models the motion of three bodies interacting via Newtonian gravitation. It is called restricted when one body has zero mass and the other two, the primaries, have strictly positive masses. ...
