| Artículo | 2024 |
A double-zero bifurcation in a Lorenz-like system
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NONLINEAR DYNAMICS |
| Artículo | 2022 |
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2022 |
Study of a homoclinic canard explosion from a degenerate center
|
Applied Mathematics Letters |
| Artículo | 2021 |
Asymptotic expansions for a degenerate canard explosion
|
PHYSICA D-NONLINEAR PHENOMENA |
| Artículo | 2021 |
High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of hopf-zero and nonresonant double hopf singularities
|
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
| Artículo | 2020 |
Analytical approximation of cuspidal loops using a nonlinear time transformation method
|
APPLIED MATHEMATICS AND COMPUTATION |
| Artículo | 2020 |
Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method
|
PHYSICA D-NONLINEAR PHENOMENA |
| Artículo | 2020 |
Asymptotic expansions for a family of non-generic canards using parametric representation
|
Applied Mathematics Letters |
| Artículo | 2020 |
Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2020 |
High-Order Analysis of Canard Explosion in the Brusselator Equations
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2020 |
High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems
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INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2020 |
High-order study of the canard explosion in an aircraft ground dynamics model
|
NONLINEAR DYNAMICS |
| Artículo | 2019 |
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form
|
NONLINEAR DYNAMICS |
| Artículo | 2019 |
Revisiting the analysis of a codimension-three Takens-Bogdanov bifurcation in planar reversible systems
|
NONLINEAR DYNAMICS |
| Artículo | 2019 |
Study of a dynamical system with a strange attractor and invariant tori
|
PHYSICS LETTERS A |
| Artículo | 2019 |
Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case C-in
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Capítulo | 2018 |
A Review on Some Bifurcations in the Lorenz System
|
Understanding Complex Systems |
| Artículo | 2018 |
Comments on "Shilnikov chaos and Hopf bifurcation in three-dimensional differential system"
|
OPTIK |
| Artículo | 2018 |
Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D-4 symmetry
|
CHAOS |
| Artículo | 2017 |
Comentarios sobre “Puntos de equilibrio asintóticamente estables en nuevos sistemas caóticos”
|
Nova Scientia |
| Artículo | 2016 |
Comment on "Study on the reliable computation time of the numerical model using the sliding temporal correlation method"
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THEORETICAL AND APPLIED CLIMATOLOGY |
| Artículo | 2016 |
Resonances of periodic orbits in the Lorenz system
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NONLINEAR DYNAMICS |
| Artículo | 2016 |
Superluminal periodic orbits in the Lorenz system
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Capítulo | 2016 |
Takens-Bogdanov bifurcations and resonances of periodic orbits in the Lorenz system
|
No Lineal 2016, International Conference on Nonlinear Mathematics and Physics 7-10, 2016: Book of abstracts |
| Artículo | 2016 |
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system
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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2015 |
An exact homoclinic orbit and its connection with the Rossler system
|
PHYSICS LETTERS A |
| Artículo | 2015 |
Analysis of the T-point-Hopf bifurcation in the Lorenz system
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Editorial | 2015 |
Comments on "Invariant algebraic surfaces of the generalized Lorenz system"
|
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK |
| Artículo | 2015 |
Study of the Hopf bifurcation in the Lorenz, Chen and Lu systems
|
NONLINEAR DYNAMICS |
| Artículo | 2014 |
Centers on center manifolds in the Lorenz, Chen and Lu systems
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Editorial | 2014 |
Comment on "A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family", P. Yu, XX Liao, SL Xie, YL Fu [Commun Nonlinear Sci Numer Simulat 14 (2009) 2886-2896]
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COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2014 |
Comment on "Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems" [Appl. Math. Comput. 218 (2012) 11859-11870]
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APPLIED MATHEMATICS AND COMPUTATION |
| Artículo | 2014 |
Comments on "The Chen system revisited"
|
Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms |
| Artículo | 2014 |
Comments on 'Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces'
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PHYSICA D-NONLINEAR PHENOMENA |
| Editorial | 2014 |
Comments on "Dynamics of the general Lorenz family" by Y. Liu and W. Pang
|
NONLINEAR DYNAMICS |
| Artículo | 2014 |
On Darboux polynomials and rational first integrals of the generalized Lorenz system
|
BULLETIN DES SCIENCES MATHEMATIQUES |
| Editorial | 2013 |
Chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow
|
AEROSPACE SCIENCE AND TECHNOLOGY |
| Artículo | 2013 |
Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system
|
CHAOS |
| Editorial | 2013 |
Comment on 'Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization' [Chaos, Solitons and Fractals 44 (2011) 137-144]
|
CHAOS SOLITONS & FRACTALS |
| Artículo | 2013 |
Comment on Silnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446]
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PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS |
| Editorial | 2013 |
Comments on "Non-existence of Shilnikov chaos in continuous-time systems"
|
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION |
| Artículo | 2013 |
On Shil'nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System
|
JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS |
| Artículo | 2013 |
The Lu system is a particular case of the Lorenz system
|
PHYSICS LETTERS A |
| Artículo | 2012 |
Analysis of a Belyakov homoclinic connection with Z(2)-symmetry
|
NONLINEAR DYNAMICS |
| Artículo | 2012 |
Comment on 'Stability and chaos of a damped satellite partially filled with liquid' [Acta Astronautica 65 (2009) 1628-1638]
|
ACTA ASTRONAUTICA |
| Editorial | 2012 |
Comment on "Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system" [J. Math. Anal. Appl. 315 (2006) 106-119]
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS |
| Editorial | 2012 |
Comment on "Heteroclinic orbits in Chen circuit with time delay" [Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3058-3066]
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Nota | 2012 |
Comments on " Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system" [Energy 40 (2012) 291-299]
|
ENERGY |
| Artículo | 2012 |
HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Editorial | 2012 |
Rebuttal of "Existence of attractor and control of a 3D differential system" by Z. Wang
|
NONLINEAR DYNAMICS |
| Editorial | 2011 |
Comment on "Sil'nikov chaos of the Liu system" [Chaos 18, 013113 (2008)]
|
CHAOS |
| Artículo | 2011 |
Hopf bifurcations and their degeneracies in Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2011 |
Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point
|
NONLINEAR DYNAMICS |
| Artículo | 2010 |
Analysis of the T-point-hopf bifurcation with Z(2)- symmetry. Application to Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2008 |
Analysis of the T-point-Hopf bifurcation
|
PHYSICA D-NONLINEAR PHENOMENA |
| Capítulo | 2007 |
Numerical bifurcation analysis of electronic circuits
|
Numerical continuation methods for dynamical systems: path following and boundary value problems |
| Artículo | 2007 |
Resonances of periodic orbits in Rossler system in presence of a triple-zero bifurcation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2006 |
Open-to-closed curves of saddle-node bifurcations of periodic orbits near a nontransversal T-point in Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2005 |
A bifurcation analysis of a simple electronic circuit
|
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION |
| Artículo | 2005 |
Homoclinic connections near a Belyakov point in Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2005 |
Multiparametric bifurcations in an enzyme-catalyzed reaction model
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2004 |
Bi-spiraling homoclinic curves around a T-point in Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2003 |
A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point
|
PHYSICS LETTERS A |
| Artículo | 2003 |
Closed curves of global bifurcations in Chua's equation: A mechanism for their formation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2003 |
Some results on Chua's equation near a triple-zero linear degeneracy
|
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
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2002 |
An analytical and numerical study of a modified van der Pol oscillator
|
JOURNAL OF SOUND AND VIBRATION |
| Artículo | 2002 |
Nontransversal curves of T-points: a source of closed curves of global bifurcations
|
PHYSICS LETTERS A |
| Artículo | 2002 |
Oscillation-sliding in a modified van der Pol-Duffing electronic oscillator
|
JOURNAL OF SOUND AND VIBRATION |
| Artículo | 2002 |
T-points in a Z(2)-symmetric electronic oscillator. (I) Analysis
|
NONLINEAR DYNAMICS |
| Artículo | 2001 |
Takens-Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2000 |
A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator
|
NONLINEAR DYNAMICS |
| Artículo | 2000 |
Analytical prediction of the two first period-doublings in a three-dimensional system
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 2000 |
Asymptotics of homoclinic bifurcation in a three-dimensional system
|
NONLINEAR DYNAMICS |
| Artículo | 2000 |
Numerical continuation of homoclinic orbits to non-hyperbolic equilibria in planar systems
|
NONLINEAR DYNAMICS |
| Revisión | 2000 |
On the Hopf-pitchfork bifurcation in the Chua's equation
|
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
| Artículo | 1999 |
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation
|
NONLINEARITY |
| Artículo | 1999 |
Analytical and numerical study of a four-parameter family of mechanical oscillators
|
MECHANICS RESEARCH COMMUNICATIONS |
| Artículo | 1999 |
Evolution of Arnold's tongues in a Z(2)-symmetric electronic circuit
|
IEICE transactions on fundamentals of electronics, communications and computer sciences |
| Artículo | 1999 |
Examples of non-degenerate and degenerate cuspidal loops in planar systems
|
DYNAMICS AND STABILITY OF SYSTEMS |
| Artículo | 1999 |
First-order approximation for Canard periodic orbits in a vanderPol electronic oscillator
|
Applied Mathematics Letters |
| Artículo | 1999 |
Hypernormal form calculation for triple-zero degeneracies
|
Bulletin of the Belgian Mathematical Society Simon Stevin |
| Artículo | 1999 |
Numerical continuation of degenerate homoclinic orbits in planar systems
|
IMA JOURNAL OF NUMERICAL ANALYSIS |
| Artículo | 1999 |
On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations
|
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 | 1999 |
Second period-doubling in a three-dimensional system
|
MECHANICS RESEARCH COMMUNICATIONS |
| Artículo | 1999 |
The non-transverse Shil'nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies
|
PHYSICA D-NONLINEAR PHENOMENA |
| Artículo | 1998 |
Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator
|
NONLINEAR DYNAMICS |
| Ponencia | 1998 |
Bifurcaciones globales de codimensión dos en un oscilador de Van der Pol - Duffing tridimensional
|
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
|
XV Congreso de ecuaciones diferenciales y aplicaciones, V Congreso de Matemática Aplicada : Vigo, 23-26 septiembre 1997 |
| Artículo | 1998 |
Study of a degenerate Bogdanov-Takens bifurcation in a family of mechanical oscillators
|
MECHANICS RESEARCH COMMUNICATIONS |
| Artículo | 1997 |
Isolas, cusps and global bifurcations in an electronic oscillator
|
DYNAMICS AND STABILITY OF SYSTEMS |
| 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 |
| Artículo | 1991 |
Bifurcaciones de Hopf degeneradas en un oscilador electrónico
|
XV Jornadas Luso-Espanholas de Matemática : Universidade de Évora, 3 a 7 de Septembro de 1990 |
| Ponencia | 1991 |
On a codimension 3 bifurcation arising in an autonomous electronic circuit
|
BIFURCATION AND CHAOS : ANALYSIS, ALGORITHMS, APPLICATIONS |
| Artículo | 1991 |
Un método de continuación para el estudio de bifurcaciones de órbitas periódicas
|
XV Jornadas Luso-Espanholas de Matemática : Universidade de Évora, 3 a 7 de Septembro de 1990 |
| Ponencia | 1990 |
A method for homoclinic and heteroclinic continuation in 2 and 3 dimensions
|
CONTINUATION AND BIFURCATIONS : NUMERICAL TECHNIQUES AND APPLICATIONS |
| Ponencia | 1989 |
Un método de continuación de órbitas homoclinas en sistemas autónomos planos biparamétricos
|
XIV jornadas hispano-Lusas de matemáticas |
| Artículo | 1986 |
STATIONARY INSTABILITIES IN A DIELECTRIC LIQUID LAYER SUBJECTED TO AN ARBITRARY UNIPOLAR INJECTION AND AN ADVERSE THERMAL-GRADIENT
|
JOURNAL OF PHYSICS D-APPLIED PHYSICS |
