Now showing items 1-20 of 91

• #### A black-box model for neurons ﻿

(Institute of Electrical and Electronics Engineers (IEEE), 2019)
Conference lecture
Open Access
We explore the identification of neuronal voltage traces by artificial neural networks based on wavelets (Wavenet). More precisely, we apply a modification in the representation of dynamical systems by Wavenet which decreases ...
• #### A characterization of isochronous centres in terms of symmetries ﻿

(2000)
Article
Open Access
We present a description of isochronous centres of planar vector fields $X$ by means of their groups of symmetries. More precisely, given a normalizer $U$ of $X$ (i.e., $[X,U]=\mu X$, where $\mu$ is a scalar function), we ...
• #### A computational and geometric approach to phase resetting curves and surfaces ﻿

(2009)
Article
Open Access
• #### A drone based system for surveillance applications in coastal zone ﻿

(SARTI, 2015)
Article
Open Access
This paper introduces an unmanned aircraft vehicle (multicopter) for coastal applications. This vehicle has surveillance purposes, and it is configured with routes in such a way that the vehicle is capable of displaying ...
• #### A pseudo-normal form for planar vector fields ﻿

(2001)
Article
Open Access
• #### aCTeX: Autoaprenentatge científico-tècnic en xarxa ﻿

(Universitat Politècnica de Catalunya. Institut de Ciències de l'Educació, 2007-06-28)
Conference report
Open Access
aCTeX és una aplicació web que genera dinàmicament llistats de preguntes tipus test, amb la particularitat que admet expressions matemàtiques introduïdes en llenguatge LaTeX a la base de dades. L’aplicació executa la ...
• #### An analytic-numerical method of computation of the Liapunov and period constants derived from their algebraic structure ﻿

(1996)
Article
Open Access
We consider the problem of computing the Liapunov and the period constants for a smooth differential equation with a non degenerate critical point. First, we investigate the structure of both constants when they are ...
• #### An explicit expression of the first Liapunov and period constants with applications ﻿

(1996)
Article
Open Access
In this paper, we study systems in the plane having a critical point with pure imaginary eigenvalues, and we search for effective conditions to discern whether this critical point is a focus or a center; in the case of it ...
• #### Bifurcation gaps in asymmetric and high-dimensional hypercycles ﻿

(2018-01-01)
Article
Open Access
Hypercycles are catalytic systems with cyclic architecture. These systems have been suggested to play a key role in the maintenance and increase of information in prebiotic replicators. It is known that for a large enough ...
• #### Bifurcations analysis of oscillating hypercycles ﻿

(2015-12-21)
Article
Open Access
We investigate the dynamics and transitions to extinction of hypercycles governed by periodic orbits. For a large enough number of hypercycle species (n > 4) the existence of a stable periodic orbit has been previously ...
• #### Canard-induced complex oscillations in an excitatory network ﻿

(2020-01-01)
Article
Open Access
In Neuroscience, mathematical modelling involving multiple spatial and temporal scales can unveil complex oscillatory activity such as excitable responses to an input current, subthreshold oscillations, spiking or bursting. ...
• #### Canards, folded nodes and mixed-mode oscillations in piecewise-linear slow-fast systems ﻿

(2016-11-03)
Article
Open Access
Canard-induced phenomena have been extensively studied in the last three decades, from both the mathematical and the application viewpoints. Canards in slow-fast systems with (at least) two slow variables, especially near ...
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2013-10-02)
Exam
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2013-01-16)
Exam
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2013-10-29)
Exam
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2014-12-02)
Exam
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2014-11-18)
Exam
• #### CÀLCUL (1r quadrimestre) ﻿

(Universitat Politècnica de Catalunya, 2011-11-30)
Exam