• Adaptive synchronization of master-slave systems with mixed neutral and discrete time-delays and nonlinear perturbations 

      Karimi, Hamid Reza; Zapateiro, Mauricio; Luo, Ningsu (2012)
      Article
      Accés restringit per política de l'editorial
      This paper investigates the delay-dependent adaptive synchronization problem of the master and slave structure of linear systems with both constant neutral and time-varying discrete time-delays and nonlinear perturbations ...
    • Analysis of Perturbation incidence in the calculation of trajectories in Ephemeris Model 

      Diab Pascual, Omar Vicente (Universitat Politècnica de Catalunya, 2020-01-14)
      Projecte Final de Màster Oficial
      Accés obert
      Realitzat a/amb:   Cranfield University
      The main goal of this thesis is to deepen the understanding of the influence that the various perturbations exert on the trajectory calculations performed by the JPL ephemeris model to provide high-fidelity ephemeris in ...
    • Canard-induced complex oscillations in an excitatory network 

      Desroches, Mathieu; Guillamon Grabolosa, Antoni; Rinzel, John; Köksal Ersöz, Elif; Tabak, Joël (2020-01-01)
      Article
      Accés obert
      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. ...
    • Exponentially Small Heteroclinic Breakdown in the Generic Hopf-Zero Singularity 

      Baldomá Barraca, Inmaculada; Castejón i Company, Oriol; Martínez-Seara Alonso, M. Teresa (2013)
      Article
      Accés restringit per política de l'editorial
      In this paper we prove the breakdown of a heteroclinic connection in the analytic versal unfoldings of the generic Hopf-zero singularity in an open set of the parameter space. This heteroclinic orbit appears at any order ...
    • Perturbation analysis of a matrix differential equation ¿x=ABx 

      García Planas, María Isabel; Klymchuk, Tetiana (UP4, Institute of Sciences, S.L., 2018)
      Article
      Accés restringit per política de l'editorial
      Two complex matrix pairs (A,B) and (A',B') are contragrediently equivalent if there are nonsingular S and R such that (A',B')=(S-1AR,R-1BS). M.I. García-Planas and V.V. Sergeichuk (1999) constructed a miniversal deformation ...
    • Perturbation of matrices preserving the Segre characteristics of the non-nilpotent Jordan blocks 

      Magret Planas, Maria dels Dolors (2017-06-26)
      Capítol de llibre
      Accés restringit per política de l'editorial
      Abstract We consider in the space of square matrices with complex co- efficients the following equivalence relation: two matrices are said to be equivalent if and only if the direct sum of the non- nilpotent Jordan ...
    • 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 ...
    • Resurgence of inner solutions for perturbations of the McMillan map 

      Martínez-Seara Alonso, M. Teresa; Sauzin, D.; Martín de la Torre, Pablo (2009-12)
      Report de recerca
      Accés obert
      A sequence of “inner equations” attached to certain perturbations of the McMillan map was considered in [MSS09], their solutions were used in that article to measure an exponentially small separatrix splitting. We prove ...
    • 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 ...