Emilio
Freire Macías
Publications by the researcher in collaboration with Emilio Freire Macías (25)
2018
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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
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A bifurcation analysis of planar nilpotent reversible systems
Nonlinear Dynamics, Vol. 87, Núm. 2, pp. 835-849
2016
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Phase diagram of the two-fluid Lipkin model: A "butterfly" catastrophe
Physical Review C, Vol. 93, Núm. 3
2015
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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
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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
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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
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An Algorithm for Computing Quasi-Homogeneous Formal Normal Forms under Equivalence
Acta Applicandae Mathematicae, Vol. 80, Núm. 3, pp. 335-359
2003
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Quasi-homogeneous normal forms
Journal of Computational and Applied Mathematics, Vol. 150, Núm. 1, pp. 193-216
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Quasi-homogeneous normal forms for null linear part
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
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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
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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
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Computing simplest normal forms for the Takens--Bogdanov singularity
Qualitative theory of dynamical systems, Vol. 3, Núm. 2, pp. 377-436
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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
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Oscillation-sliding in a modified Van der pol-Duffing electronic oscillator
Journal of Sound and Vibration, Vol. 249, Núm. 5, pp. 899-907
2000
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Isochronicity Via Normal Form
Qualitative theory of dynamical systems, Vol. 1, Núm. 2, pp. 133-156
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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
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Tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
Nonlinear Dynamics, Vol. 22, Núm. 3, pp. 249-269
1999
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A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
Nonlinearity, Vol. 12, Núm. 4, pp. 1177-1206
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Hypernormal form calculation for triple-zero degeneracies
Bulletin of the Belgian Mathematical Society - Simon Stevin, Vol. 6, Núm. 3, pp. 357-368
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Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies
Rocky Mountain Journal of Mathematics, Vol. 29, Núm. 1, pp. 13-45