Emilio
Freire Macías
Publications by the researcher in collaboration with Emilio Freire Macías (24)
2018
-
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
-
A bifurcation analysis of planar nilpotent reversible systems
Nonlinear Dynamics, Vol. 87, Núm. 2, pp. 835-849
2015
-
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
-
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
-
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
-
An Algorithm for Computing Quasi-Homogeneous Formal Normal Forms under Equivalence
Acta Applicandae Mathematicae, Vol. 80, Núm. 3, pp. 335-359
2003
-
Quasi-homogeneous normal forms
Journal of Computational and Applied Mathematics, Vol. 150, Núm. 1, pp. 193-216
-
Quasi-homogeneous normal forms for null linear part
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
-
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
-
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
-
Computing simplest normal forms for the Takens--Bogdanov singularity
Qualitative theory of dynamical systems, Vol. 3, Núm. 2, pp. 377-436
-
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
-
Oscillation-sliding in a modified Van der pol-Duffing electronic oscillator
Journal of Sound and Vibration, Vol. 249, Núm. 5, pp. 899-907
2000
-
Isochronicity Via Normal Form
Qualitative theory of dynamical systems, Vol. 1, Núm. 2, pp. 133-156
-
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
-
Tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
Nonlinear Dynamics, Vol. 22, Núm. 3, pp. 249-269
1999
-
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
Nonlinearity, Vol. 12, Núm. 4, pp. 1177-1206
-
Hypernormal form calculation for triple-zero degeneracies
Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 6, Núm. 3, pp. 357-368
-
Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies
Rocky Mountain Journal of Mathematics, Vol. 29, Núm. 1, pp. 13-45
-
On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, Vol. 9, Núm. 7, pp. 1333-1362