Browsing by Subject "Sistemes dinàmics diferenciables"
Now showing items 1-20 of 260
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A Central Limit Theorem for inner functions
(2022-06)
Article
Open AccessA Central Limit Theorem for linear combinations of iterates of an inner function is proved. The main technical tool is Aleksandrov Disintegration Theorem for Aleksandrov-Clark measures. -
A dynamic Parrondo's paradox for continuous seasonal systems
(2020-10)
Article
Open AccessWe 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
(2019-11-27)
Research report
Open AccessWe 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 geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems
(2011-03-01)
Article
Restricted access - publisher's policyIn this paper we consider a representative a priori unstable Hamiltonian system with 2 + 1/2 degrees of freedom and we apply the geometric mechanism for diffusion introduced in [A. Delshams, R. de la Llave, T.M. Seara, ... -
A KAM theorem without action-angle variables for elliptic lower dimensional tori
(2011-02)
Article
Restricted access - publisher's policyWe study elliptic lower dimensional invariant tori of Hamiltonian systems via parametrizations. The method is based on solving iteratively the functional equations that stand for invariance and reducibility. In contrast ... -
A methodology for obtaining asymptotic estimates for the exponentially small splitting of separatrices to whiskered tori with quadratic frequencies
(2014-07)
Research report
Open Access -
A new approach to the vakonomic mechanics
(2014-11-01)
Article
Restricted access - publisher's policyThe aim of this paper was to show that the Lagrange-d'Alembert and its equivalent the Gauss and Appel principle are not the only way to deduce the equations of motion of the nonholonomic systems. Instead of them we consider ... -
A route to chaos in the Boros-Moll map
(2018-04-18)
Research report
Open AccessThe 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 AccessThe 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 AccessIn 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 AccessOne 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 ... -
A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems
(2017-09-01)
Article
Open AccessPiecewise smooth dynamical systems make use of discontinuities to model switching between regions of smooth evolution. This introduces an ambiguity in prescribing dynamics at the discontinuity: should the dynamics be given ... -
Abundance of attracting, repelling and elliptic periodic orbits in two-dimensional reversible maps
(2013-01-01)
Article
Open AccessWe study dynamics and bifurcations of two-dimensional reversible maps having non-transversal heteroclinic cycles containing symmetric saddle fixed points. We consider one-parameter families of reversible maps unfolding ... -
Algebraic description of Jacobians isogeneous to certain Prym varieties with polarization (1,2)
(2014-11)
Research report
Open AccessFor a class of non-hyperelliptic genus 3 curves C which are 2-fold coverings of elliptic curves E, we give an explicit algebraic description of all birationally non-equivalent genus 2 curves whose Jacobians are degree 2 ... -
An example on Lyapunov stability and linearization
(2020-01-01)
Article
Open AccessThe 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 behavior of the eigenvalues and eigenvectors of singular linear systems
(2012)
Article
Open AccessLet E(p)x˙ = A(p)x + B(p)u be a family of singular linear systems smoothly dependent on a vector of real parameters p = (p1, . . . , pn). In this work we construct versal deformations of the given differentiable family under ... -
Analysis of periodic solutions of the system Janus - Epimetheus
(Universitat Politècnica de Catalunya, 2016-07)
Bachelor thesis
Open AccessDesenvolupament 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 AccessDegradation 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 AccessWe 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 AccessEn 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 ...