Now showing items 1-20 of 148

• #### A computational and geometric approach to phase resetting curves and surfaces ﻿

(2009)
Article
Open Access
• #### A dynamic Parrondo's paradox for continuous seasonal systems ﻿

(2019-11-27)
External research report
Open Access
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo's dynamic paradox, in which the stability of an equilibrium, common to all seasons is ...
• #### A dynamic Parrondo's paradox for continuous seasonal systems ﻿

(2020-10)
Article
Open Access
We show that planar continuous alternating systems, which can be used to model systems with seasonality, can exhibit a type of Parrondo’s dynamic paradox, in which the stability of an equilibrium, common to all seasons is ...
• #### A route to chaos in the Boros-Moll map ﻿

(2018-04-18)
External research report
Open Access
The Boros-Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to the convergence of them. In the paper, we study the dynamics of a one-parameter ...
• #### A Route to chaos in the Boros–Moll map ﻿

(2019-04)
Article
Open Access
The Boros–Moll map appears as a subsystem of a Landen transformation associated to certain rational integrals and its dynamics is related to their convergence. In the paper, we study the dynamics of a one-parameter family ...
• #### A Second Order Expansion of the Separatrix Map for Trigonometric Perturbations of a Priori Unstable Systems ﻿

(2016-11-01)
Article
Open Access
In this paper we study a so-called separatrix map introduced by Zaslavskii–Filonenko (Sov Phys JETP 27:851–857, 1968) and studied by Treschev (Physica D 116(1–2):21–43, 1998; J Nonlinear Sci 12(1):27–58, 2002), Piftankin ...
• #### A study on the generation of chaos due to the presence of smale horseshoes in dynamical systems with a homoclinic orbit ﻿

(Universitat Politècnica de Catalunya, 2020-07)
Master thesis
Open Access
One of the fundamental problems in dynamical systems is the detection and characterisation of chaotic behaviours. In this work we will focus on chaos induced by what is called the Smale horseshoe. Smale horseshoes frequently ...
• #### An example on Lyapunov stability and linearization ﻿

(2020-01-01)
Article
Restricted access - publisher's policy
The purpose of this paper is to present an example of a (in the Fréchet sense) discrete dynamical system in a infinite-dimensional separable Hilbert space for which the origin is an exponentially asymptotically stable ...
• #### Analysis of periodic solutions of the system Janus - Epimetheus ﻿

(Universitat Politècnica de Catalunya, 2016-07)
Bachelor thesis
Open Access
Desenvolupament d'un model 2-dimensional per el sistema coorbital de Janus i Epimetheus al voltant de Saturn, afegint l'aplanament del planeta. Demostracio d'un teorema de simetries sobre les equacions de moviment i analisi ...
• #### Analysis of the equations governing the motion of a degrading elastic solid due to diffusion of a fluid ﻿

(2014-10)
Article
Open Access
Degradation of solids bearing load due to the infusion of moisture when exposed to the environment can leads to a decrease in their load carrying capacity and can also lead to the failure of the body from performing its ...
• #### Analysis of the relative dynamics of a charged spacecraft moving under the influence of a magnetic field ﻿

(2018-09-01)
Article
Open Access
We analyse a dynamical scenario where a constantly charged spacecraft (follower) moves in the vicinity of another one (leader) that follows a circular Keplerian orbit around the Earth and generates a rotating magnetic ...
• #### Analytical and computational tools for the study of phase and synchrony in neural oscillators ﻿

(Universitat Politècnica de Catalunya, 2010-10)
Master thesis
Open Access
En aquest treball es pretén donar una visió de les aplicacions dels sistemes dinàmics en el camp de la neurociència, així com ampliar les eines que s'utilitzen fins ara. En el primer capítol es descriu el marc teòric on ...
• #### Aplicación de redes neuronales artificiales a la previsión de series temporales no estacionarias o no invertibles ﻿

Article
Open Access
En los últimos tiempos se ha comprobado un aumento del interés en la aplicación de las Redes Neuronales Artificiales a la previsión de series temporales, intentando explotar las indudables ventajas de estas herramientas. ...
• #### Application of System Dynamics to model rework in construction projects ﻿

(Universitat Politècnica de Catalunya, 2014-02-25)
Master thesis
Open Access
• #### Applications to celestial mechanics ﻿

(Universitat Politècnica de Catalunya, 2018-07)
Bachelor thesis
Open Access
El Problema Restringit de Tres Cossos (Restricted Three Body Problem en anglés) ha sigut àmpliament estudiat i té múltiples aplicacions en astrodinàmica i mecànica celest. En aquest projecte s'estudien les òrbites periòdiques ...
• #### Arnold diffusion for a complete family of perturbations ﻿

(Springer, 2017-01-01)
Article
Open Access
In this work we illustrate the Arnold diffusion in a concrete example — the a priori unstable Hamiltonian system of 2 + 1/2 degrees of freedom H(p, q, I, f, s) = p2/2+ cos q - 1 + I2/2 + h(q, f, s; e) — proving that for ...
• #### Asymptotic size of Herman rings of the complex standard family by quantitative quasiconformal surgery ﻿

(2003)
Article
Open Access
In this paper we consider the complexification of the Arnold standard family of circle maps given by $\widetilde F_{\alpha,\ep}(u)=u{\rm e}^{{\rm i}\alpha} {\rm e}^{\frac{\ep}{2}(u-\frac{1}{u})}$, with \$\alpha=\alpha( ...
• #### Asymptotic size of Herman Rings using quasiconformal surgery ﻿

(Universitat Politècnica de Catalunya, 2016-07)
Bachelor thesis
Open Access
This thesis gives an introduction to the theory of quasiconformal surgery. To that end, we consider the complexification of the Arnol'd standard family of circle maps. These functions are analytically linearisable under ...
• #### Bi-asymptotic billiard orbits inside perturbed ellipsoids ﻿

(2001)
Article
Open Access
• #### Breakdown of a 2D heteroclinic connection in the hopf-zero singularity (I) ﻿

(2018-10-01)
Article
Open Access
In this paper we study a beyond all orders phenomenon which appears in the analytic unfoldings of the Hopf-zero singularity. It consists in the breakdown of a two-dimensional heteroclinic surface which exists in the truncated ...