Publications by the researcher in collaboration with Emilio Freire Macías (25)

2018

  1. New aspects of the orbital normal form of the Hopf singularity: The Rayleigh and the van der Pol forms

    International Journal of Non-Linear Mechanics, Vol. 105, pp. 20-26

2017

  1. A bifurcation analysis of planar nilpotent reversible systems

    Nonlinear Dynamics, Vol. 87, Núm. 2, pp. 835-849

2015

  1. An exact homoclinic orbit and its connection with the Rössler system

    Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 379, Núm. 16-17, pp. 1114-1121

2010

  1. Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems

    Nonlinear Analysis, Theory, Methods and Applications, Vol. 72, Núm. 3-4, pp. 1726-1736

2007

  1. Resonances of periodic orbits in Rössler system in presence of a triple-zero bifurcation

    International Journal of Bifurcation and Chaos, Vol. 17, Núm. 6, pp. 1997-2008

2004

  1. An Algorithm for Computing Quasi-Homogeneous Formal Normal Forms under Equivalence

    Acta Applicandae Mathematicae, Vol. 80, Núm. 3, pp. 335-359

2003

  1. Quasi-homogeneous normal forms

    Journal of Computational and Applied Mathematics, Vol. 150, Núm. 1, pp. 193-216

  2. Quasi-homogeneous normal forms for null linear part

    Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

  3. Some results on Chua's equation near a triple-zero linear degeneracy

    International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 13, Núm. 3, pp. 583-608

2002

  1. A note on the triple-zero linear degeneracy: Normal forms, dynamical and bifurcation behaviors of an unfolding

    International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 12, Núm. 12, pp. 2799-2820

  2. Computing simplest normal forms for the Takens--Bogdanov singularity

    Qualitative theory of dynamical systems, Vol. 3, Núm. 2, pp. 377-436

  3. Nontransversal curves of T-points: A source of closed curves of global bifurcations

    Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 303, Núm. 2-3, pp. 204-211

  4. Oscillation-sliding in a modified Van der pol-Duffing electronic oscillator

    Journal of Sound and Vibration, Vol. 249, Núm. 5, pp. 899-907

2000

  1. Isochronicity Via Normal Form

    Qualitative theory of dynamical systems, Vol. 1, Núm. 2, pp. 133-156

  2. On the hopf-pitchfork bifurcation in the Chua's equation

    International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 10, Núm. 2, pp. 291-305

  3. Tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator

    Nonlinear Dynamics, Vol. 22, Núm. 3, pp. 249-269

1999

  1. A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation

    Nonlinearity, Vol. 12, Núm. 4, pp. 1177-1206

  2. Hypernormal form calculation for triple-zero degeneracies

    Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 6, Núm. 3, pp. 357-368

  3. Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies

    Rocky Mountain Journal of Mathematics, Vol. 29, Núm. 1, pp. 13-45