Publicaciones

A double-zero bifurcation in a Lorenz-like system

Revista: Nonlinear Dynamics
Fecha: 2024-02-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

ANALYTICAL INTEGRABILITY OF PERTURBATIONS OF DEGENERATE QUADRATIC SYSTEMS

Revista: Journal of Applied Analysis and Computation
Fecha: 2024-01-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2023-09-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Center conditions to find certain degenerate centers with characteristic directions

Revista: Mathematics and Computers in Simulation
Fecha: 2023-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Study of a homoclinic canard explosion from a degenerate center

Revista: Applied Mathematics Letters
Fecha: 2022-10-01
Autores: Antonio Algaba Durán

Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2022-08-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

Center problem for generic degenerate vector fields

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2022-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analytic partial-integrability of a symmetric Hopf-zero degeneracy

Revista: Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Fecha: 2022-01-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

A New Normal Form for Monodromic Nilpotent Singularities of Planar Vector Fields

Revista: Mediterranean Journal of Mathematics
Fecha: 2021-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier

Revista: Applied Mathematics and Computation
Fecha: 2021-09-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Natalia Fuentes Díaz

Orbital hypernormal forms

Revista: Symmetry
Fecha: 2021-08-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2021-07-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Characterizing Orbital-Reversibility Through Normal Forms

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2021-07-01
Autores: Antonio Algaba Durán ,Cristobal García García

Algebraic integrability of nilpotent planar vector fields

Revista: Chaos, Solitons and Fractals
Fecha: 2021-04-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Asymptotic expansions for a degenerate canard explosion

Revista: Physica D: Nonlinear Phenomena
Fecha: 2021-04-01
Autores: Antonio Algaba Durán

High-order approximation of heteroclinic bifurcations in truncated 2d-normal forms for the generic cases of hopf-zero and nonresonant double hopf singularities

Revista: SIAM Journal on Applied Dynamical Systems
Fecha: 2021-03-11
Autores: Antonio Algaba Durán

Analytical Integrability of Perturbations of Quadratic Systems

Revista: Mediterranean Journal of Mathematics
Fecha: 2021-02-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Orbital reversibility of planar vector fields

Revista: Mathematics
Fecha: 2021-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Asymptotic expansions for a family of non-generic canards using parametric representation

Revista: Applied Mathematics Letters
Fecha: 2020-08-01
Autores: Antonio Algaba Durán

Orbitally universal centers

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2020-06-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analytical approximation of cuspidal loops using a nonlinear time transformation method

Revista: Applied Mathematics and Computation
Fecha: 2020-05-15
Autores: Antonio Algaba Durán

Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method

Revista: Physica D: Nonlinear Phenomena
Fecha: 2020-05-01
Autores: Antonio Algaba Durán

High-Order Analysis of Canard Explosion in the Brusselator Equations

Revista: International Journal of Bifurcation and Chaos
Fecha: 2020-04-01
Autores: Antonio Algaba Durán

Quasi-homogeneous linearization of degenerate vector fields

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2020-03-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh–Nagumo system

Revista: Applied Mathematics and Computation
Fecha: 2020-03-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Natalia Fuentes Díaz

Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2020-02-01
Autores: Antonio Algaba Durán

High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems

Revista: International Journal of Bifurcation and Chaos
Fecha: 2020-01-01
Autores: Antonio Algaba Durán

Analytic integrability around a nilpotent singularity: The non-generic case

Revista: Communications on Pure and Applied Analysis
Fecha: 2020-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

High-order study of the canard explosion in an aircraft ground dynamics model

Revista: Nonlinear Dynamics
Fecha: 2020-01-01
Autores: Antonio Algaba Durán

Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case C in

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2019-10-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2019-06-15
Autores: Antonio Algaba Durán ,Cristobal García García

Analytic integrability around a nilpotent singularity

Revista: Journal of Differential Equations
Fecha: 2019-06-15
Autores: Antonio Algaba Durán ,Cristobal García García

Revisiting the analysis of a codimension-three Takens–Bogdanov bifurcation in planar reversible systems

Revista: Nonlinear Dynamics
Fecha: 2019-06-01
Autores: Antonio Algaba Durán

Study of a dynamical system with a strange attractor and invariant tori

Revista: Physics Letters, Section A: General, Atomic and Solid State Physics
Fecha: 2019-04-24
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2019-04-02
Autores: Antonio Algaba Durán ,Cristobal García García

Invariant curves and analytic integrability of a planar vector field

Revista: Journal of Differential Equations
Fecha: 2019-01-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Center conditions of a particular polynomial differential system with a nilpotent singularity

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2019-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens–Bogdanov normal form

Revista: Nonlinear Dynamics
Fecha: 2019-01-01
Autores: Antonio Algaba Durán

Structural stability of planar quasi-homogeneous vector fields

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2018-12-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Natalia Fuentes Díaz

The center problem for Z2-symmetric nilpotent vector fields

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2018-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

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

Revista: International Journal of Non-Linear Mechanics
Fecha: 2018-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analytical integrability problem for perturbations of cubic Kolmogorov systems

Revista: Chaos, Solitons and Fractals
Fecha: 2018-08-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Non-formally integrable centers admitting an algebraic inverse integrating factor

Revista: Discrete and Continuous Dynamical Systems- Series A
Fecha: 2018-03-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé ,Natalia Fuentes Díaz

Comments on “Shilnikov chaos and Hopf bifurcation in three-dimensional differential system”

Revista: Optik
Fecha: 2018-02-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Nondegenerate centers and limit cycles of cubic Kolmogorov systems

Revista: Nonlinear Dynamics
Fecha: 2018-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Normal Form for a Class of Three-Dimensional Systems with Free-Divergence Principal Part

Revista: Understanding Complex Systems
Fecha: 2018-01-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Natalia Fuentes Díaz

A Review on Some Bifurcations in the Lorenz System

Revista: Understanding Complex Systems
Fecha: 2018-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

Local Integrability for Some Degenerate Nilpotent Vector Fields

Revista: Understanding Complex Systems
Fecha: 2018-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

A bifurcation analysis of planar nilpotent reversible systems

Revista: Nonlinear Dynamics
Fecha: 2017-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Comment on “Study on the reliable computation time of the numerical model using the sliding temporal correlation method”

Revista: Theoretical and Applied Climatology
Fecha: 2016-11-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Geometric Criterium in the Center Problem

Revista: Mediterranean Journal of Mathematics
Fecha: 2016-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analytic integrability inside a family of degenerate centers

Revista: Nonlinear Analysis: Real World Applications
Fecha: 2016-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

Superluminal periodic orbits in the Lorenz system

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2016-10-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Nilpotent centres via inverse integrating factors

Revista: European Journal of Applied Mathematics
Fecha: 2016-10-01
Autores: Antonio Algaba Durán ,Cristobal García García

Resonances of periodic orbits in the Lorenz system

Revista: Nonlinear Dynamics
Fecha: 2016-06-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Analytic Integrability of Some Examples of Degenerate Planar Vector Fields

Revista: Acta Applicandae Mathematicae
Fecha: 2016-02-01
Autores: Antonio Algaba Durán ,Cristobal García García

Algebraic inverse integrating factors for a class of generalized nilpotent systems

Revista: SEMA SIMAI Springer Series
Fecha: 2016-01-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé ,Natalia Fuentes Díaz

Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2016-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

The center problem. A view from the normal form theory

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2016-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram

Revista: Journal of Computational and Applied Mathematics
Fecha: 2015-10-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Comments on “Invariant algebraic surfaces of the generalized Lorenz system”

Revista: Zeitschrift fur Angewandte Mathematik und Physik
Fecha: 2015-06-28
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

An exact homoclinic orbit and its connection with the Rössler system

Revista: Physics Letters, Section A: General, Atomic and Solid State Physics
Fecha: 2015-06-19
Autores: Antonio Algaba Durán

Local phase portraits through the Newton diagram of a vector field

Revista: Acta Mathematica Sinica, English Series
Fecha: 2015-06-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Analysis of the T-point-Hopf bifurcation in the Lorenz system

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2015-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

On orbital-reversibility for a class of planar dynamical systems

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2015-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

A class of non-integrable systems admitting an inverse integrating factor

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2014-12-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé ,Natalia Fuentes Díaz

Comment on ''existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems'' [Appl. Math. Comput. 218 (2012) 11859-11870]

Revista: Applied Mathematics and Computation
Fecha: 2014-10-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Analytic integrability for some degenerate planar vector fields

Revista: Journal of Differential Equations
Fecha: 2014-07-15
Autores: Antonio Algaba Durán ,Cristobal García García

A new algorithm for determining the monodromy of a planar differential system

Revista: Applied Mathematics and Computation
Fecha: 2014-06-15
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Centers on center manifolds in the Lorenz, Chen and Lü systems

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2014-04-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comment on ''A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family'', P. Yu, X.X. Liao, S.L. Xie, Y.L. Fu [Commun Nonlinear Sci Numer Simulat 14 (2009) 2886-2896]

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2014-03-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

On Darboux polynomials and rational first integrals of the generalized Lorenz system

Revista: Bulletin des Sciences Mathematiques
Fecha: 2014-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comments on ''dynamics of the general Lorenz family'' by Y. Liu and W. Pang

Revista: Nonlinear Dynamics
Fecha: 2014-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems

Revista: Nonlinear Dynamics
Fecha: 2014-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín ,María de la Cinta Domínguez Moreno

Comments on ''the Chen system revisited''

Revista: Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications and Algorithms
Fecha: 2014-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comments on 'Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces'

Revista: Physica D: Nonlinear Phenomena
Fecha: 2014-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

The Lü system is a particular case of the Lorenz system

Revista: Physics Letters, Section A: General, Atomic and Solid State Physics
Fecha: 2013-11-22
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Analytic integrability for some degenerate planar systems

Revista: Communications on Pure and Applied Analysis
Fecha: 2013-11-01
Autores: Antonio Algaba Durán ,Cristobal García García

Comment on 'Šilnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446]

Revista: Physica A: Statistical Mechanics and its Applications
Fecha: 2013-10-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comments on ''non-existence of Shilnikov chaos in continuous-time systems''

Revista: Applied Mathematics and Mechanics (English Edition)
Fecha: 2013-09-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

The reversibility problem for quasi-homogeneous dynamical systems

Revista: Discrete and Continuous Dynamical Systems- Series A
Fecha: 2013-08-01
Autores: Antonio Algaba Durán ,Cristobal García García

Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system

Revista: Chaos
Fecha: 2013-07-08
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

On the formal integrability problem for planar differential systems

Revista: Abstract and Applied Analysis
Fecha: 2013-04-29
Autores: Antonio Algaba Durán ,Cristobal García García

On shil'nikov analysis of homoclinic and heteroclinic orbits of the t system

Revista: Journal of Computational and Nonlinear Dynamics
Fecha: 2013-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comments on the paper ''chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow''

Revista: Aerospace Science and Technology
Fecha: 2013-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

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]

Revista: Chaos, Solitons and Fractals
Fecha: 2013-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

A note on analytic integrability of planar vector fields

Revista: European Journal of Applied Mathematics
Fecha: 2012-10-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Rebuttal of ''Existence of attractor and control of a 3D differential system'' by Z.Wang

Revista: Nonlinear Dynamics
Fecha: 2012-09-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

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]

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2012-08-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Analysis of a Belyakov homoclinic connection with ? 2- symmetry

Revista: Nonlinear Dynamics
Fecha: 2012-07-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comment on ''Heteroclinic orbits in Chen circuit with time delay'' [Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3058-3066]

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2012-06-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems

Revista: Chaos, Solitons and Fractals
Fecha: 2012-06-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Centers of quasi-homogeneous polynomial planar systems

Revista: Nonlinear Analysis: Real World Applications
Fecha: 2012-02-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Natalia Fuentes Díaz

Comments on '' Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system'' [Energy 40 (2012) 291-299]

Revista: Energy
Fecha: 2012-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comment on 'Stability and chaos of a damped satellite partially filled with liquid' [Acta Astronautica 65 (2009) 16281638]

Revista: Acta Astronautica
Fecha: 2012-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Homoclinic interactions near a triple-zero degeneracy in Chua's equation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2012-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Nilpotent systems admitting an algebraic inverse integrating factor over C((X, Y))

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2011-12-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Characterization of a monodromic singular point of a planar vector field

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2011-11-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Integrability of two dimensional quasi-homogeneous polynomial differential systems

Revista: Rocky Mountain Journal of Mathematics
Fecha: 2011-04-07
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point

Revista: Nonlinear Dynamics
Fecha: 2011-02-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Hopf bifurcations and their degeneracies in Chua's equation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2011-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Comment on ''Sil'nikov chaos of the Liu system'' [Chaos 18, 013113 (2008)]

Revista: Chaos
Fecha: 2011-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2010-09-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Reversibility and quasi-homogeneous normal forms of vector fields

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2010-07-15
Autores: Antonio Algaba Durán ,Cristobal García García

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

Revista: Nonlinear Analysis, Theory, Methods and Applications
Fecha: 2010-02-01
Autores: Antonio Algaba Durán ,Cristobal García García

Analysis of the T-pointhopf bifurcation with ?2-symmetry. Application to Chua's equation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2010-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Degenerate global bifurcations in a simple circuit

Revista: International Journal of Pure and Applied Mathematics
Fecha: 2009-12-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Merino Morlesín ,Manuel Reyes Columé

Like-linearizations of vector fields

Revista: Bulletin des Sciences Mathematiques
Fecha: 2009-12-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations

Revista: Applied Mathematics and Computation
Fecha: 2009-09-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Characterizing isochronous points and computing isochronous sections

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2009-07-15
Autores: Antonio Algaba Durán ,Manuel Reyes Columé

The integrability problem for a class of planar systems

Revista: Nonlinearity
Fecha: 2009-04-27
Autores: Antonio Algaba Durán ,Cristobal García García

The center problem for a family of systems of differential equations having a nilpotent singular point

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2008-04-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Reyes Columé

Isochronous centres and foci via commutators and normal forms

Revista: Proceedings of the Royal Society of Edinburgh Section A: Mathematics
Fecha: 2008-02-01
Autores: Antonio Algaba Durán ,Manuel Reyes Columé

A degenerate Hopf-saddle-node bifurcation analysis in a family of electronic circuits

Revista: Nonlinear Dynamics
Fecha: 2007-04-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Merino Morlesín

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

Revista: International Journal of Bifurcation and Chaos
Fecha: 2007-01-01
Autores: Antonio Algaba Durán

Open-to-closed curves of saddle-node bifurcations of periodic orbits near a nontransversal T-point in Chua's equation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2006-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

A bifurcation analysis of a simple electronic circuit

Revista: Communications in Nonlinear Science and Numerical Simulation
Fecha: 2005-03-01
Autores: Antonio Algaba Durán

Homoclinic connections near a belyakov point in Chua's equation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2005-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

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

Revista: Acta Applicandae Mathematicae
Fecha: 2004-02-01
Autores: Antonio Algaba Durán ,Cristobal García García

Computing center conditions for vector fields with constant angular speed

Revista: Journal of Computational and Applied Mathematics
Fecha: 2003-05-01
Autores: Antonio Algaba Durán ,Manuel Reyes Columé

Quasi-homogeneous normal forms for null linear part

Revista: Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Fecha: 2003-02-01
Autores: Antonio Algaba Durán ,Cristobal García García

Centers with degenerate infinity and their commutators

Revista: Journal of Mathematical Analysis and Applications
Fecha: 2003-02-01
Autores: Antonio Algaba Durán ,Manuel Reyes Columé

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

Revista: Journal of Sound and Vibration
Fecha: 2003-01-31
Autores: Antonio Algaba Durán

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

Revista: International Journal of Bifurcation and Chaos
Fecha: 2003-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Quasi-homogeneous normal forms

Revista: Journal of Computational and Applied Mathematics
Fecha: 2003-01-01
Autores: Antonio Algaba Durán ,Cristobal García García

Closed curves of global bifurcations in Chua's equation: A mechanism for their formation

Revista: International Journal of Bifurcation and Chaos
Fecha: 2003-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Computing simplest normal forms for the takens-bogdanov singularity

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2002-12-01
Autores: Antonio Algaba Durán

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

Revista: Physics Letters, Section A: General, Atomic and Solid State Physics
Fecha: 2002-10-14
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

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

Revista: International Journal of Bifurcation and Chaos
Fecha: 2002-01-01
Autores: Antonio Algaba Durán

Cusps in a strong resonancies organizated for a degenerate Takens-Bogdanov in the Chua's equations

Revista: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Fecha: 2001-01-01
Autores: Antonio Algaba Durán ,Cristobal García García ,Manuel Merino Morlesín

Takens-Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model

Revista: International Journal of Bifurcation and Chaos
Fecha: 2001-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

Isochronicity via normal form

Revista: Qualitative Theory of Dynamical Systems
Fecha: 2000-12-01
Autores: Antonio Algaba Durán

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

Revista: International Journal of Bifurcation and Chaos
Fecha: 2000-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

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

Revista: Nonlinear Dynamics
Fecha: 2000-01-01
Autores: Antonio Algaba Durán

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

Revista: Nonlinearity
Fecha: 1999-07-01
Autores: Antonio Algaba Durán

Hypernormal form calculation for triple-zero degeneracies

Revista: Bulletin of the Belgian Mathematical Society - Simon Stevin
Fecha: 1999-07-01
Autores: Antonio Algaba Durán

Evolution of arnold's tongues in a ?2-symmetric electronic circuit

Revista: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Fecha: 1999-01-01
Autores: Antonio Algaba Durán ,Manuel Merino Morlesín

On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations

Revista: International Journal of Bifurcation and Chaos
Fecha: 1999-01-01
Autores: Antonio Algaba Durán

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

Revista: Rocky Mountain Journal of Mathematics
Fecha: 1999-01-01
Autores: Antonio Algaba Durán

On the takens-bogdanov bifurcation in the chua's equation

Revista: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Fecha: 1999-01-01
Autores: Antonio Algaba Durán

Analysis of Hopf and Takens-Bogdanov Bifurcations in a Modified van der Pol-Duffing Oscillator

Revista: Nonlinear Dynamics
Fecha: 1998-01-01
Autores: Antonio Algaba Durán

Hypernormal form for the hopf-zero bifurcation

Revista: International Journal of Bifurcation and Chaos
Fecha: 1998-01-01
Autores: Antonio Algaba Durán