Reports de recercahttp://hdl.handle.net/2117/53402024-03-29T15:46:37Z2024-03-29T15:46:37ZEnquesta sobre la situació del col·lectiu del professorat associat a la Universitat Politècnica de CatalunyaCornadó Bardón, CòssimaHaurie Ibarra, LaiaMir Teixidor, EnriqueMorros Rubió, Josep RamonMujica Delgado, Luis EduardoOlmedo Torre, NoeliaPeña Carrera, MartaSala Cladellas, Glòriahttp://hdl.handle.net/2117/3449492021-05-05T10:10:26Z2021-05-03T08:10:54ZEnquesta sobre la situació del col·lectiu del professorat associat a la Universitat Politècnica de Catalunya
Cornadó Bardón, Còssima; Haurie Ibarra, Laia; Mir Teixidor, Enrique; Morros Rubió, Josep Ramon; Mujica Delgado, Luis Eduardo; Olmedo Torre, Noelia; Peña Carrera, Marta; Sala Cladellas, Glòria
La utilització de la figura del professorat associat per part de les universitats públiques a Catalunya en molts casos està lluny de l’esperit d’aquesta figura en la legislació (especialista de reconeguda competència i amb una activitat professional principal fora de la universitat). Aquesta tipologia contractual s’ha convertit sovint en una manera barata de fer front a les necessitats docents. La manca d’oferta de places de professorat permanent a causa de la reducció de finançament de les universitats i la limitació de la taxa de reposició de personal han fet que el professorat associat s’hagi nodrit en part de persones que voldrien accedir a altres tipologies de PDI a temps complet. Per analitzar la situació, a inici del curs 2020/21 el Comitè d'Empresa del PDI-Laboral de la UPC ha realitzat una enquesta entre aquest professorat a la que han contestat 456 persones (un 34,9% del total de la plantilla). Els principals resultats d'aquesta investigació són que el 56% de les persones enquestades els agradaria fer carrera acadèmica i que part d'elles (22%) ja està acreditada. Sorprèn que un alt percentatge dels enquestats ha realitzat tasques estructurals o de gestió relacionades amb la coordinació d'assignatures de grau i/o màster en els últims cinc anys. A més, un 5,9% del professorat porta 20 anys o més signant contractes anualment i un 22,7% ho porta fent entre 11 i 20 anys.
Per analitzar la situació del col·lectiu del professorat associat a la Universitat Politècnica de Catalunya, a inici del curs 2020/21 el Comitè d'Empresa del PDI-Laboral de la UPC ha realitzat una enquesta entre aquest professorat.
2021-05-03T08:10:54ZCornadó Bardón, CòssimaHaurie Ibarra, LaiaMir Teixidor, EnriqueMorros Rubió, Josep RamonMujica Delgado, Luis EduardoOlmedo Torre, NoeliaPeña Carrera, MartaSala Cladellas, GlòriaLa utilització de la figura del professorat associat per part de les universitats públiques a Catalunya en molts casos està lluny de l’esperit d’aquesta figura en la legislació (especialista de reconeguda competència i amb una activitat professional principal fora de la universitat). Aquesta tipologia contractual s’ha convertit sovint en una manera barata de fer front a les necessitats docents. La manca d’oferta de places de professorat permanent a causa de la reducció de finançament de les universitats i la limitació de la taxa de reposició de personal han fet que el professorat associat s’hagi nodrit en part de persones que voldrien accedir a altres tipologies de PDI a temps complet. Per analitzar la situació, a inici del curs 2020/21 el Comitè d'Empresa del PDI-Laboral de la UPC ha realitzat una enquesta entre aquest professorat a la que han contestat 456 persones (un 34,9% del total de la plantilla). Els principals resultats d'aquesta investigació són que el 56% de les persones enquestades els agradaria fer carrera acadèmica i que part d'elles (22%) ja està acreditada. Sorprèn que un alt percentatge dels enquestats ha realitzat tasques estructurals o de gestió relacionades amb la coordinació d'assignatures de grau i/o màster en els últims cinc anys. A més, un 5,9% del professorat porta 20 anys o més signant contractes anualment i un 22,7% ho porta fent entre 11 i 20 anys.Persistence of periodic traveling waves and Abelian integralsGasull Embid, ArmengolGeyer, AnnaMañosa Fernández, Víctorhttp://hdl.handle.net/2117/3419322021-03-18T09:20:37Z2021-03-18T09:19:54ZPersistence of periodic traveling waves and Abelian integrals
Gasull Embid, Armengol; Geyer, Anna; Mañosa Fernández, Víctor
It is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for all time. In this paper we address the problem of persistence of TWS of a given PDE under small perturbations. Our main results deal with the situation where the associated ODE has a center and, as a consequence, the original PDE has a continuum of periodic traveling wave solutions. We prove that the TWS that persist are controlled by the zeroes of some Abelian integrals. We apply our results to several famous PDE, like the Ostrovsky, Klein-Gordon, sine-Gordon, Korteweg-de Vries, Rosenau-Hyman, Camassa-Holm, and Boussinesq equations
Preprint
2021-03-18T09:19:54ZGasull Embid, ArmengolGeyer, AnnaMañosa Fernández, VíctorIt is well known that the existence of traveling wave solutions (TWS) for many partial differential equations (PDE) is a consequence of the fact that an associated planar ordinary differential equation (ODE) has certain types of solutions defined for all time. In this paper we address the problem of persistence of TWS of a given PDE under small perturbations. Our main results deal with the situation where the associated ODE has a center and, as a consequence, the original PDE has a continuum of periodic traveling wave solutions. We prove that the TWS that persist are controlled by the zeroes of some Abelian integrals. We apply our results to several famous PDE, like the Ostrovsky, Klein-Gordon, sine-Gordon, Korteweg-de Vries, Rosenau-Hyman, Camassa-Holm, and Boussinesq equationsPointwise periodic maps with quantized first integralsGasull, ArmengolCima, AnnaMañosa Fernández, VíctorMañosas, Franceschttp://hdl.handle.net/2117/3329402020-11-24T08:10:54Z2020-11-24T08:02:55ZPointwise periodic maps with quantized first integrals
Gasull, Armengol; Cima, Anna; Mañosa Fernández, Víctor; Mañosas, Francesc
In a series of papers, Chang, Cheng and Wang studied the periodic behavior of some piecewise linear maps in the plane. These examples are valuable under the light of the classical result of Montgomery about periodic homeomorphisms, since they are pointwise periodic but not periodic. We revisit them from the point of view of their properties as integrable systems. We describe their global dynamics in terms of the dynamics induced by the maps on the level sets of certain first integrals that we also find. We believe that some of the features that the first integrals exhibit are interesting by themselves, for instance the set of values of the integrals are discrete. Furthermore, the level sets are bounded sets whose interior is formed by a finite number of some prescribed tiles of certain regular tessellations. The existence of these quantized integrals is quite novel in the context of discrete dynamic systems theory.
Preprint
2020-11-24T08:02:55ZGasull, ArmengolCima, AnnaMañosa Fernández, VíctorMañosas, FrancescIn a series of papers, Chang, Cheng and Wang studied the periodic behavior of some piecewise linear maps in the plane. These examples are valuable under the light of the classical result of Montgomery about periodic homeomorphisms, since they are pointwise periodic but not periodic. We revisit them from the point of view of their properties as integrable systems. We describe their global dynamics in terms of the dynamics induced by the maps on the level sets of certain first integrals that we also find. We believe that some of the features that the first integrals exhibit are interesting by themselves, for instance the set of values of the integrals are discrete. Furthermore, the level sets are bounded sets whose interior is formed by a finite number of some prescribed tiles of certain regular tessellations. The existence of these quantized integrals is quite novel in the context of discrete dynamic systems theory.Modelització de la temperatura en un mina subterràniaRossell Garriga, Josep MariaBascompta Massanes, MarcSanmiquel Pera, Lluíshttp://hdl.handle.net/2117/1803282020-07-23T21:31:45Z2020-03-18T09:51:02ZModelització de la temperatura en un mina subterrània
Rossell Garriga, Josep Maria; Bascompta Massanes, Marc; Sanmiquel Pera, Lluís
2020-03-18T09:51:02ZRossell Garriga, Josep MariaBascompta Massanes, MarcSanmiquel Pera, LluísEl batec invisible. La bellesa i l’ànima de les matemàtiquesMañosa Fernández, Víctorhttp://hdl.handle.net/2117/1761592020-07-23T22:50:20Z2020-01-30T09:09:01ZEl batec invisible. La bellesa i l’ànima de les matemàtiques
Mañosa Fernández, Víctor
Ens aproximem a l’experiència estètica matemàtica des d’un punt de vista proper al de la psicologia analítica. Analitzem el mite segons el qual l’univers és un ens harmònic que pot ser descrit mitjançant les matemàtiques, les quals li atorguen la seva bellesa, i estudiem el romanent inconscient d’aquesta idea arquetípica en la ciència contemporània. La bellesa matemàtica es presenta, finalment, com a vincle entre l’Arquetip del Cosmos i el de la totalitat de la psique.
Aquestes notes contenen una versió resumida dels continguts de les conferencies “El batec invisible. La bellesa i l’ànima de les matemàtiques” i “Les fronteres dels nostres prejudicis”, pronunciades a la Casa de Cultura de Girona l’octubre de 2015 i el setembre de 2018 respectivament, dins del cicle “Contemporàlia” organitzat per la Càtedra Lluís Santaló d’Aplicacions de la Matemàtica.
Aquestes notes contenen una versió resumida dels continguts de les conferencies “El batec invisible. La bellesa i l’ànima de les matemàtiques” i “Les fronteres dels nostres prejudicis”, pronunciades a la Casa de Cultura de Girona l’octubre de 2015 i el setembre de 2018 respectivament, dins del cicle “Contemporàlia” organitzat per la Càtedra Lluís Santaló d’Aplicacions de la Matemàtica.
2020-01-30T09:09:01ZMañosa Fernández, VíctorEns aproximem a l’experiència estètica matemàtica des d’un punt de vista proper al de la psicologia analítica. Analitzem el mite segons el qual l’univers és un ens harmònic que pot ser descrit mitjançant les matemàtiques, les quals li atorguen la seva bellesa, i estudiem el romanent inconscient d’aquesta idea arquetípica en la ciència contemporània. La bellesa matemàtica es presenta, finalment, com a vincle entre l’Arquetip del Cosmos i el de la totalitat de la psique.
Aquestes notes contenen una versió resumida dels continguts de les conferencies “El batec invisible. La bellesa i l’ànima de les matemàtiques” i “Les fronteres dels nostres prejudicis”, pronunciades a la Casa de Cultura de Girona l’octubre de 2015 i el setembre de 2018 respectivament, dins del cicle “Contemporàlia” organitzat per la Càtedra Lluís Santaló d’Aplicacions de la Matemàtica.The invisible heartbeat. The beauty and soul of mathematicsMañosa Fernández, Víctorhttp://hdl.handle.net/2117/1761482020-07-23T20:45:18Z2020-01-30T08:11:51ZThe invisible heartbeat. The beauty and soul of mathematics
Mañosa Fernández, Víctor
We will look at mathematical aesthetic experience from a point of view close to the one of analytical psychology. We will analyse the myth that the universe is a harmonic entity that can be described through mathematics, giving it its beauty, and study the unconscious remnant of this archetypal idea in contemporary science. Mathematical beauty appears, finally, as a link between the Archetype of the Cosmos and the wholeness of the psyche.
These notes contain a summarised version of the contents of the lectures “The invisible heartbeat. The beauty and soul of mathematics” and “The borders of our prejudices”, given at the Casa de Cultura in Girona in October 2015 and September 2018 respectively, within the “Contemporalia” cycle organized by the Lluís A. Santaló Chair of Mathematical Applications of the University of Girona.
These notes contain a summarised version of the contents of the lectures “The invisible heartbeat. The beauty and soul of mathematics” and “The borders of our prejudices”, given at the Casa de Cultura in Girona in October 2015 and September 2018 respectively, within the “Contemporalia” cycle organized by the Lluís A. Santaló Chair of Mathematical Applications of the University of Girona
2020-01-30T08:11:51ZMañosa Fernández, VíctorWe will look at mathematical aesthetic experience from a point of view close to the one of analytical psychology. We will analyse the myth that the universe is a harmonic entity that can be described through mathematics, giving it its beauty, and study the unconscious remnant of this archetypal idea in contemporary science. Mathematical beauty appears, finally, as a link between the Archetype of the Cosmos and the wholeness of the psyche.
These notes contain a summarised version of the contents of the lectures “The invisible heartbeat. The beauty and soul of mathematics” and “The borders of our prejudices”, given at the Casa de Cultura in Girona in October 2015 and September 2018 respectively, within the “Contemporalia” cycle organized by the Lluís A. Santaló Chair of Mathematical Applications of the University of Girona.A dynamic Parrondo's paradox for continuous seasonal systemsCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, Víctorhttp://hdl.handle.net/2117/1739702022-05-17T12:57:22Z2019-12-16T12:01:34ZA dynamic Parrondo's paradox for continuous seasonal systems
Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
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 reversed for the global seasonal system.
Preprint
2019-12-16T12:01:34ZCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, VíctorWe 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 reversed for the global seasonal system.Phase portraits of random planar homogeneous vector fieldsCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, Víctorhttp://hdl.handle.net/2117/1739692022-05-17T10:19:56Z2019-12-16T11:37:19ZPhase portraits of random planar homogeneous vector fields
Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
We study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact value of each probability or we estimate it by using the Monte Carlo method. It is remarkable that all but two of these phase portraits are characterized by their index at the origin and by their number of invariant straight lines through it.
Preprint
2019-12-16T11:37:19ZCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, VíctorWe study the phase portraits with positive probability of random planar homogeneous vector fields of degree n. In particular, for n=1,2,3, we give a complete solution of the problem and, moreover, either we give the exact value of each probability or we estimate it by using the Monte Carlo method. It is remarkable that all but two of these phase portraits are characterized by their index at the origin and by their number of invariant straight lines through it.Stability index of linear random dynamical systemCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, Víctorhttp://hdl.handle.net/2117/1325662020-07-23T22:44:09Z2019-05-03T07:37:18ZStability index of linear random dynamical system
Cima Mollet, Anna; Gasull Embid, Armengol; Mañosa Fernández, Víctor
Given a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution is globally asymptotically stable if and only if this stability index is n. Fixed n, let p_k, k=0,1,...,n, denote the probabilities that the random variable that assigns to each linear random dynamical system its stability index takes the value k. In this paper we obtain either the exact values p_k, or their estimations by combining the Monte Carlo method with a least square approach that uses some affine relations among the values p_k,k=0,1,...,n. The particular case of n-order homogeneous linear random differential or difference equations is also studied in detail.
Preprint
2019-05-03T07:37:18ZCima Mollet, AnnaGasull Embid, ArmengolMañosa Fernández, VíctorGiven a homogeneous linear discrete or continuous dynamical system, its stability index is given by the dimension of the stable manifold of the zero solution. In particular, for the n dimensional case, the zero solution is globally asymptotically stable if and only if this stability index is n. Fixed n, let p_k, k=0,1,...,n, denote the probabilities that the random variable that assigns to each linear random dynamical system its stability index takes the value k. In this paper we obtain either the exact values p_k, or their estimations by combining the Monte Carlo method with a least square approach that uses some affine relations among the values p_k,k=0,1,...,n. The particular case of n-order homogeneous linear random differential or difference equations is also studied in detail.Minor loops of the Dahl and LuGre modelsIkhouane, FayçalMañosa Fernández, VíctorPujol Vázquez, Giselahttp://hdl.handle.net/2117/1293502020-07-23T22:47:09Z2019-02-19T09:52:09ZMinor loops of the Dahl and LuGre models
Ikhouane, Fayçal; Mañosa Fernández, Víctor; Pujol Vázquez, Gisela
Hysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the presence of perturbed inputs or noise, this hysteresis loop presents small lobes called minor loops that are located inside a larger curve called major loop. The study of minor loops is being increasingly popular since it leads to a quantification of the loss of energy due to the noise. The aim of the present paper is to give an explicit analytic expression of the minor loops of the LuGre and the Dahl models of dynamic dry friction.
Preprint
2019-02-19T09:52:09ZIkhouane, FayçalMañosa Fernández, VíctorPujol Vázquez, GiselaHysteresis is a special type of behavior encountered in physical systems: in a hysteretic system, when the input is periodic and varies slowly, the steady-state part of the output-versus-input graph becomes a loop called hysteresis loop. In the presence of perturbed inputs or noise, this hysteresis loop presents small lobes called minor loops that are located inside a larger curve called major loop. The study of minor loops is being increasingly popular since it leads to a quantification of the loss of energy due to the noise. The aim of the present paper is to give an explicit analytic expression of the minor loops of the LuGre and the Dahl models of dynamic dry friction.