Publicaciones en las que colabora con Hector J. Giacomini (26)

2018

  1. Localizing limit cycles: From numeric to analytical results

    Trends in Mathematics (Springer International Publishing), pp. 7-11

2017

  1. Effective construction of Poincaré-Bendixson regions

    Journal of Applied Analysis and Computation, Vol. 7, Núm. 4, pp. 1549-1569

2016

  1. Analytic nilpotent centers as limits of nondegenerate centers revisited

    Journal of Mathematical Analysis and Applications, Vol. 441, Núm. 2, pp. 893-899

2015

  1. Transversal conics and the existence of limit cycles

    Journal of Mathematical Analysis and Applications, Vol. 428, Núm. 1, pp. 563-586

2011

  1. Generalized Hopf Bifurcation for Planar Vector Fields via the Inverse Integrating Factor

    Journal of Dynamics and Differential Equations, Vol. 23, Núm. 2, pp. 251-281

2010

  1. The inverse integrating factor and the poincaŕe map

    Transactions of the American Mathematical Society, Vol. 362, Núm. 7, pp. 3591-3612

2008

  1. Linearizable planar differential systems via the inverse integrating factor

    Journal of Physics A: Mathematical and Theoretical, Vol. 41, Núm. 13

  2. On the stability of periodic orbits for differential systems in R n

    Discrete and Continuous Dynamical Systems - Series B, Vol. 10, Núm. 2-3, pp. 495-509

2007

  1. Corrigendum to: "The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems" [J. Differential Equations 227 (2006) 406-426] (DOI:10.1016/j.jde.2006.03.012)

    Journal of Differential Equations

  2. Estudio de la bifurcación de ciclos limite a partir de un gráfico mediante el inverso de factor integrante.

    XX Congreso de ecuaciones diferenciales y aplicaciones y X Congreso de Matemáticas aplicadas

  3. The role of algebraic solutions in planar polynomial differential systems

    Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 143, Núm. 2, pp. 487-508

2006

  1. An algorithmic method to determine integrability for polynomial planar vector fields

    European Journal of Applied Mathematics, Vol. 17, Núm. 2, pp. 161-170

  2. Integrability of planar polynomial differential systems through linear differential equations

    Rocky Mountain Journal of Mathematics, Vol. 36, Núm. 2, pp. 457-485

  3. The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems

    Journal of Differential Equations, Vol. 227, Núm. 2, pp. 406-426

2005

  1. Generalized nonlinear superposition principles

    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS

  2. Generalized nonlinear superposition principles for polynomial planar vector fields

    Journal of Lie Theory, Vol. 15, Núm. 1, pp. 89-104

  3. Necessary conditions for the existence of invariant algebraic curves for planar polynomial systems

    Bulletin des Sciences Mathematiques, Vol. 129, Núm. 2, pp. 99-126

  4. On the stability of limit cycles for planar differential systems

    Journal of Differential Equations, Vol. 213, Núm. 2, pp. 368-388

  5. Quadratic systems with an algebraic limit cycle of degree 2 or 4 do not have a Liouvillian first integral

    EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS

2003

  1. Darboux integrability and the inverse integrating factor

    Journal of Differential Equations, Vol. 194, Núm. 1, pp. 116-139