Now showing items 1-4 of 4

    • IconCanonical Discontinuous Planar Piecewise Linear Systems  [Article]

      Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (Society of Industrial and Applied Mathematics, 2012)
      The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity zones is considered. Under generic conditions that amount to the boundedness of the sliding set, ...
    • IconHopf-Like Bifurcations in Planar Piecewise Linear Systems  [Article]

      Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (Universitat Autònoma de Barcelona, Servei de Publicacions, 1997)
      Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are ...
    • IconOn the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities  [Article]

      Llibre Saló, Jaume; Ponce Núñez, Enrique; Torres Peral, Francisco (IOP Science, 2008)
      In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the form x'' − f(x)x' + g(x) = 0 where the functions f and g satisfy xf(x) > 0 and xg(x) > 0 for x ≠ 0 ...
    • IconThe discontinuous matching of two planar linear foci can have three nested limit cycles  [Article]

      Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (Universitat Autònoma de Barcelona, Servei de Publicacions, 2014)
      The existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type and having only one equilibrium point is considered. By using an adequate ...