• Integrability and linearizability of a family of three-dimensional quadratic systems 

      Pantazi, Chara; Amen, Azad; Aziz, Waleed (2021-01-01)
      Article
      Accés obert
      We consider a three-dimensional vector field with quadratic nonlinearities and in general none of the axis plane is invariant. For our investigation, we are interesting in the case of (1:-2:1) – resonance at the origin. ...
    • On the accumulation points of non-periodic orbits of a difference equation of fourth order 

      Linero Bas, Antonio; Mañosa Fernández, Víctor; Nieves Roldán, Daniel (2023-06-22)
      Report de recerca
      Accés obert
      In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation x_{n+4}=max{x_{n+3},x_{n+2},x_{n+1},0}-x_n, with arbitrary real initial conditions. We fully determine the accumulation ...
    • On the accumulation points of non-periodic orbits of a difference equation of fourth order 

      Linero Bas, Antonio; Mañosa Fernández, Víctor; Nieves Roldán, Daniel (Elsevier, 2024-03-15)
      Article
      Accés restringit per política de l'editorial
      In this paper, we are interested in analyzing the dynamics of the fourth-order difference equation xn+4 =max{xn+3, xn+2, xn+1, 0} -xn, with arbitrary real initial conditions. We fully determine the accumulation point sets ...
    • Polynomial differential systems having a given Darbouxian first integral 

      Llibre Saló, Jaume; Pantazi, Chara (Elsevier, 2004)
      Article
      Accés obert
      The Darbouxian theory of integrability allows to determine when a polynomial differential system in C2 has a first integral of the kind f λ1 1 ···f λp p exp(g/h) where fi , g and h are polynomials in C[x, y], and λi ∈ C ...
    • Qualitative study of a model with Rastall gravity 

      Pantazi, Chara; Llibre Saló, Jaume (2020-12-17)
      Article
      Accés obert
      We consider the Rastall theory for the flat Friedmann-Robertson-Walker Universe filled with a perfect fluid that satisfies a linear equation of state. The corresponding dynamical system is a two dimensional system of ...