Listar MAT_Articles por autoría "0a11a501-b4d9-4116-aa7b-5596546e5646"

Mostrando ítems 1-13 de 13

    • openAccess   A class of polynomial planar vector fields with polynomial first integral 

      Ferragut, Antoni; Galindo, Carlos; Monserrat, Francisco Elsevier (2015-10)
      We give an algorithm for deciding whether a planar polynomial differential system has a first integral which factorizes as a product of defining polynomials of curves with only one place at infinity. In the affirmative ...

    • openAccess   Analytic integrability of the Bianchi class A cosmological models with O~ 1< < 1 

      Ferragut, Antoni; Llibre, Jaume; Pantazi, Chara Elsevier (2013-03)
      Many works study the integrability of the Bianchi class A cosmologies with k = 1, where k is the ratio between the pressure and the energy density of the matter. Here we characterize the analytic integrability of the Bianchi ...

    • openAccess   Cofactors and equilibria for polynomial vector fields 

      Ferragut, Antoni; Llibre, Jaume Cambridge University Press (2014)
      We present a relationship between the existence of equilibrium points of differential systems and the cofactors of the invariant algebraic curves and the exponential factors of the system

    • openAccess   Conservation Laws in Biochemical Reaction Networks 

      Adam, Mahdi; Ferragut, Antoni; Valls, Claudia; Carsten, Wiuf Society for Industrial and Applied Mathematics (2017)
      We study the existence of linear and non-linear conservation laws in biochemical reaction networks with mass-action kinetics. It is straightforward to compute the linear conservation laws as they are related to the left ...

    • openAccess   Detection of special curves via the double resultant 

      Ferragut, Antoni; García-Saldaña, Johanna Denise; Gasull, Armengol Springer Verlag (2017)
      We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable ...

    • openAccess   On the absence of analytic integrability of the Bianchi Class B cosmological models 

      Ferragut, Antoni; Llibre, Jaume; Pantazi, Chara American Institute of Physics (AIP) (2013-02-15)
      We follow Bogoyavlensky's approach to deal with Bianchi class B cosmological models. We characterize the analytic integrability of such systems.

    • openAccess   On the Complete Integrability of the Raychaudhuri Differential System in ℝ4 and of a CRNT Model in ℝ5 

      Ferragut, Antoni; Valls, Claudia (2018-04)
      We study the Darboux integrability of two differential systems with parameters: the Raychaudhuri equation (a relativistic model in ℝ4 ) and a chemical reaction model in ℝ5 . We prove that the first one is completely ...

    • openAccess   On the computation of Darboux first integrals of a class of planar polynomial vector fields 

      Ferragut, Antoni; Galindo, Carlos; Montserrat Delpalillo, Francisco José Elsevier (2019-05)
      We study the class of planar polynomial vector fields admitting Darboux first integrals of the type I I r i=1 fiαi , where the αi 's are positive real numbers and the fi 's are polynomials defining curves with only one ...

    • openAccess   On the Darboux integrability of a cubic CRN model in R-5 

      Ferragut, Antoni; Valls, Claudia Elsevier (2016-01)
      We study the Darboux integrability of a differential system in R5R5 with parameters coming from a chemical reaction model. In particular, we find all its Darboux polynomials and exponential factors and we prove that it is ...

    • openAccess   On the Liouville integrability of Edelstein’s reaction system in R-3 

      Ferragut, Antoni; Valls, Claudia; Carsten, Wiuf Elsevier (2018-03)
      We consider Edelstein's dynamical system of three reversible reactions in R-3 and show that it is not Liouville (hence also not Darboux) integrable. To do so, we characterize its polynomial first integrals, Darboux polynomials ...

    • openAccess   Phase portraits of Abel quadratic differential systems of the second kind 

      Ferragut, Antoni; Valls, Claudia Taylor & Francis (2018)
      We provide normal forms and the global phase portraits on the Poincaré disk of some Abel quadratic differential equations of the second kind. Moreover, we also provide the bifurcation diagrams for these global phase portraits.

    • openAccess   Quantitative analysis of competition models 

      Chiralt, Cristina; Ferragut, Antoni; Gasull, Armengol; Vindel, Pura Elsevier (2017)
      We study a 2-species Lotka–Volterra type differential system, modeling competition between two species and having a coexistence equilibrium in the first quadrant. In case that this equilibrium is of saddle type, its ...

    • openAccess   Seeking Darboux polynomials 

      Ferragut, Antoni; Gasull i Embid, Armengol Springer (2015-10)
      We introduce several techniques which allow to simplify the expression of the cofactor of Darboux polynomials of polynomial differential systems in Rn. We apply these techniques to some well-known systems when n=2,3,4. We ...