Now showing items 1-7 of 7

  • 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 ...
  • 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
    Restricted access - publisher's policy
    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 ...
  • 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
    Restricted access - publisher's policy
    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 ...