Ara es mostren els items 1-11 de 11

    • A unified approach to explain contrary effects of hysteresis and smoothing in nonsmooth systems 

      Bonet Revés, Carles; Martínez-Seara Alonso, M. Teresa; Fossas Colet, Enric; Jeffrey, Mike R. (2017-09-01)
      Article
      Accés obert
      Piecewise 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 ...
    • Adiabatic invariant of the harmonic oscillator, complex matching and resurgence 

      Bonet Revés, Carles; Sauzin, D.; Martínez-Seara Alonso, M. Teresa; València Guitart, Marta (1997)
      Article
      Accés obert
      The linear oscillator equation with a frequency depending slowly on time is used to test a method to compute exponentially small quantities. This work present the matching method in the complex plane as a tool to obtain ...
    • Ageing of an oscillator due to frequency switching 

      Bonet Revés, Carles; Jeffrey, Mike R.; Martín de la Torre, Pablo; Olm Miras, Josep Maria (2021-11-01)
      Article
      Accés obert
      If an oscillator is driven by a force that switches between two frequencies, the dynamics it exhibits depends on the precise manner of switching. Here we take a one-dimensional oscillator and consider scenarios in which ...
    • Càlcul integral per a enginyers 

      Compta Creus, Albert; Bonet Revés, Carles; Consul Porras, M. Nieves; Ollé Torner, Mercè; Roig Martí, Agustín (Universitat Politècnica de Catalunya, 2002)
      Llibre
      Accés restringit a la comunitat UPC
      El càlcul integral és una matèria bàsica dins els plans d'estudis de les enginyeries i les llicenciatures científiques. Aquest llibre és una introducció a la teoria de la integració de diverses variables i la integració ...
    • Càlcul numèric 

      Bonet Revés, Carles; Jorba Monte, Angel; Martínez-Seara Alonso, M. Teresa; Masdemont Soler, Josep; Ollé Torner, Mercè; Susín Sánchez, Antonio; València Guitart, Marta (Edicions UPC, 1994)
      Llibre
      Accés restringit a la comunitat UPC
      El llibre Càlcul numèric conté les eines i bases fonamentals dels algotimes de computació. La seva presentació, exempta de formalismes excessivament teòrics, el fa molt adequat per al lector que, sense voler aprofundir ...
    • Chaos in the hysteretic grazing-sliding codimension-one saddle-node bifurcation of piecewise dynamical systems 

      Bonet Revés, Carles; Martínez-Seara Alonso, M. Teresa (UP4, Institute of Sciences, S.L., 2017)
      Comunicació de congrés
      Accés obert
      We present two ways of regularizing a parameter family of piecewise smooth dynamical systems undergoing a grazing- sliding bifurcation. We use the Sotomayor-Teixeira regularization and prove that the bifurcation is a ...
    • Novel slow–fast behaviour in an oscillator driven by a frequency-switching force 

      Bonet Revés, Carles; Jeffrey, Mike R.; Martín de la Torre, Pablo; Olm Miras, Josep Maria (2023-04)
      Article
      Accés obert
      When an oscillator switches abruptly between different frequencies, there is some ambiguity in deciding how the system should be modelled at the switch. Here we describe two seemingly natural models of a switch in a simple ...
    • Regularization around a generic codimension one fold-fold singularity 

      Bonet Revés, Carles; Fernandes Larrosa, Juliana; Martínez-Seara Alonso, M. Teresa (2018-09-05)
      Article
      Accés obert
      This paper is devoted to study the generic fold-fold singularity of Filippov systems on the plane, its unfoldings and its Sotomayor–Teixeira regularization. We work with general Filippov systems and provide the bifurcation ...
    • Regularization of sliding global bifurcations derived from the local fold singularity of filippov systems 

      Bonet Revés, Carles; Martínez-Seara Alonso, M. Teresa (2016-07-01)
      Article
      Accés obert
      In this paper we study the Sotomayor-Teixeira regularization of a general visible fold singularity of a planar Filippov system. Extending Geometric Fenichel Theory beyond the fold with asymptotic methods, we determine the ...
    • Traveling waves in a model for cortical spreading depolarization with slow-fast dynamics 

      Reyner Parra, David; Bonet Revés, Carles; Martínez-Seara Alonso, M. Teresa; Huguet Casades, Gemma (American Institute of Physics (AIP), 2023-08-29)
      Article
      Accés obert
      Cortical spreading depression and spreading depolarization (CSD) are waves of neuronal depolarization that spread across the cortex, leading to a temporary saturation of brain activity. They are associated with various ...
    • Two regularizations of the grazing-sliding bifurcation giving non equivalent dynamics 

      Bonet Revés, Carles; Martínez-Seara Alonso, M. Teresa (Elsevier, 2022-09-25)
      Article
      Accés restringit per política de l'editorial
      We present two ways of regularizing a one parameter family of piece-wise smooth dynamical systems undergoing a codimension one grazing-sliding global bifurcation of periodic orbits. First we use the Sotomayor-Teixeira ...