| Artículo | 2021 |
Characterizing orbital-reversibility through normal forms
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Qualitative Theory of Dynamical Systems |
| Artículo | 2021 |
On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier
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APPLIED MATHEMATICS AND COMPUTATION |
| Artículo | 2021 |
Orbital hypernormal forms
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SYMMETRY-BASEL |
| Artículo | 2020 |
Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system
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APPLIED MATHEMATICS AND COMPUTATION |
| Artículo | 2018 |
New aspects of the orbital normal form of the Hopf singularity: The Rayleigh and the van der Pol forms
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INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS |
| Capítulo | 2018 |
Normal Form for a Class of Three-Dimensional Systems with Free-Divergence Principal Part
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Understanding Complex Systems |
| Artículo | 2018 |
Structural stability of planar quasi-homogeneous vector fields
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Artículo | 2017 |
A bifurcation analysis of planar nilpotent reversible systems
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NONLINEAR DYNAMICS |
| Artículo | 2016 |
Resonances of periodic orbits in the Lorenz system
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NONLINEAR DYNAMICS |
| Capítulo | 2016 |
Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system
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No Lineal 2016, International Conference on Nonlinear Mathematics and Physics 7-10, 2016: Book of abstracts |
| Artículo | 2016 |
The center problem. A view from the normal form theory
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Artículo | 2015 |
An exact homoclinic orbit and its connection with the Rossler system
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PHYSICS LETTERS A |
| Artículo | 2015 |
On orbital-reversibility for a class of planar dynamical systems
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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Ponencia | 2015 |
Orbital-reversibility of planar dynamical systems
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XXIV Congress on Differential Equations and Applications (2015) |
| Artículo | 2013 |
The reversibility problem for quasi-homogeneous dynamical systems
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DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS |
| Artículo | 2010 |
Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems
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NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS |
| Artículo | 2009 |
The integrability problem for a class of planar systems
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NONLINEARITY |
| Artículo | 2007 |
A degenerate Hopf-saddle-node bifurcation analysis in a family of electronic circuits
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NONLINEAR DYNAMICS |
| Artículo | 2007 |
Resonances of periodic orbits in Rossler system in presence of a triple-zero bifurcation
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2005 |
A bifurcation analysis of a simple electronic circuit
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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2004 |
An algorithm for computing quasi-homogeneous formal normal forms under equivalence
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ACTA APPLICANDAE MATHEMATICAE |
| Artículo | 2003 |
Quasi-homogeneous normal forms
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JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS |
| Artículo | 2003 |
Quasi-homogeneous normal forms for null linear part
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DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS |
| Artículo | 2003 |
Some results on Chua's equation near a triple-zero linear degeneracy
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Revisión | 2002 |
A note on the triple-zero linear degeneracy: normal forms, dynamical and bifurcation behaviors of an unfolding
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2002 |
An analytical and numerical study of a modified van der Pol oscillator
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JOURNAL OF SOUND AND VIBRATION |
| Artículo | 2002 |
Computing simplest normal forms for the takens-bogdanov singularity
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Qualitative Theory of Dynamical Systems |
| Artículo | 2002 |
Oscillation-sliding in a modified van der Pol-Duffing electronic oscillator
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JOURNAL OF SOUND AND VIBRATION |
| Artículo | 2001 |
Characterizing and computing normal forms using Lie transforms: A survey
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DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS |
| Artículo | 2001 |
On the normal form of the triple-zero degeneracy with geometric multiplicity two
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DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS |
| Artículo | 2000 |
A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
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NONLINEAR DYNAMICS |
| Artículo | 2000 |
Isochronicity via normal form
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Qualitative Theory of Dynamical Systems |
| Revisión | 2000 |
On the Hopf-pitchfork bifurcation in the Chua's equation
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 1999 |
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
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NONLINEARITY |
| Artículo | 1999 |
First-order approximation for Canard periodic orbits in a vanderPol electronic oscillator
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Applied Mathematics Letters |
| Artículo | 1999 |
Hypernormal form calculation for triple-zero degeneracies
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Bulletin of the Belgian Mathematical Society Simon Stevin |
| Artículo | 1999 |
Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies
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ROCKY MOUNTAIN JOURNAL OF MATHEMATICS |
| Artículo | 1999 |
On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 1999 |
On the takens-bogdanov bifurcation in the chua's equation
|
IEICE transactions on fundamentals of electronics, communications and computer sciences |
| Artículo | 1998 |
Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator
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NONLINEAR DYNAMICS |
| Ponencia | 1998 |
Bifurcaciones globales de codimensión dos en un oscilador de Van der Pol - Duffing tridimensional
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XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997 |
| Ponencia | 1998 |
Estimación de la "explosión canard" en un oscilador de Van der Pol
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XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997 |
| Ponencia | 1998 |
Forma hipernomal de la interacción Hopf-Pitchfork
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XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997 |
| Revisión | 1998 |
Hypernormal form for the Hopf-zero bifurcation
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 1998 |
Study of a degenerate Bogdanov-Takens bifurcation in a family of mechanical oscillators
|
MECHANICS RESEARCH COMMUNICATIONS |
| Artículo | 1993 |
A case study for homoclinic chaos in an autonomous electronic circuit: a trip from Takens-Bogdanov to Hopf-Siln´ikov
|
PHYSICA D-NONLINEAR PHENOMENA |
| Libro | 1992 |
Computación simbólica y bifurcaciones de sistemas dinámicos
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Computación simbólica y bifurcaciones de sistemas dinámicos |
| Artículo | 1991 |
Bifurcaciones de Hopf degeneradas en un oscilador electrónico
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XV Jornadas Luso-Espanholas de Matemática : Universidade de Évora, 3 a 7 de Septembro de 1990 |
| Ponencia | 1991 |
Generating Hopf-bifurcation formulas with maple
|
BIFURCATION AND CHAOS : ANALYSIS, ALGORITHMS, APPLICATIONS |
| Ponencia | 1991 |
Normal forms for planar systems with nilpotent linear part
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BIFURCATION AND CHAOS : ANALYSIS, ALGORITHMS, APPLICATIONS |
| Ponencia | 1990 |
Symbolic computation and bifurcation methods
|
CONTINUATION AND BIFURCATIONS : NUMERICAL TECHNIQUES AND APPLICATIONS |
| Ponencia | 1989 |
An algorithm for symbolic computation of center manifolds
|
Lecture Notes in Computer Science |
