Now showing items 1-8 of 8

    • 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
      Open Access
      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
      Open Access
      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
      Restricted access - publisher's policy
      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)
      Book
      Restricted access to the UPC academic community
      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 (Edicions UPC, 1994)
      Book
      Restricted access to the UPC academic community
      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)
      Conference lecture
      Open Access
      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 ...
    • Regularization around a generic codimension one fold-fold singularity 

      Bonet Revés, Carles; Fernandes Larrosa, Juliana; Martínez-Seara Alonso, M. Teresa (2018-09-05)
      Article
      Open Access
      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
      Open Access
      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 ...