Antonio Algaba

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Person:221010

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zbMath Open algaba.antonioWikidataQ83190431 ScholiaQ83190431MaRDI QIDQ221010

List of research outcomes

PublicationDate of PublicationType
Center conditions to find certain degenerate centers with characteristic directions2023-11-13Paper
Analytically integrable system orbitally equivalent to a semi-quasihomogeneous system2023-07-12Paper
Analytic partial-integrability of a symmetric Hopf-zero degeneracy2023-07-06Paper
Study of a homoclinic canard explosion from a degenerate center2022-06-13Paper
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system2022-05-16Paper
Algebraic integrability of nilpotent planar vector fields2022-04-26Paper
Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method2022-03-17Paper
Asymptotic expansions for a degenerate canard explosion2022-02-22Paper
On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier2021-11-11Paper
Center problem for generic degenerate vector fields2021-11-02Paper
Study of a dynamical system with a strange attractor and invariant tori2021-09-27Paper
A new normal form for monodromic nilpotent singularities of planar vector fields2021-08-30Paper
Analytically integrable centers of perturbations of cubic homogeneous systems2021-06-30Paper
Characterizing orbital-reversibility through normal forms2021-06-14Paper
High-order study of the canard explosion in an aircraft ground dynamics model2021-04-30Paper
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities2021-04-20Paper
Analytical integrability of perturbations of quadratic systems2021-01-26Paper
Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms2020-10-22Paper
Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case \(\mathbf{C}_{\mathbf{in}}\)2020-10-22Paper
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor2020-10-22Paper
Superluminal periodic orbits in the Lorenz system2020-09-19Paper
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system2020-09-10Paper
High-Order Analysis of Canard Explosion in the Brusselator Equations2020-06-24Paper
Asymptotic expansions for a family of non-generic canards using parametric representation2020-05-11Paper
Orbitally universal centers2020-03-30Paper
High-Order Analysis of Global Bifurcations in a Codimension-Three Takens–Bogdanov Singularity in Reversible Systems2020-03-23Paper
Comment on ``A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family2020-02-24Paper
Centers on center manifolds in the Lorenz, Chen and Lü systems2020-02-24Paper
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form2020-02-17Paper
Analytical approximation of cuspidal loops using a nonlinear time transformation method2020-02-05Paper
Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system2020-01-21Paper
Quasi-homogeneous linearization of degenerate vector fields2020-01-20Paper
Center conditions of a particular polynomial differential system with a nilpotent singularity2020-01-20Paper
Analytic integrability around a nilpotent singularity: the non-generic case2019-11-04Paper
On the Integrability Problem for the Hopf-Zero singularity and its relation with the inverse Jacobi multiplier2019-09-10Paper
Nondegenerate and nilpotent centers for a cubic system of differential equations2019-06-20Paper
Analytic integrability around a nilpotent singularity2019-04-23Paper
Analytical integrability problem for perturbations of cubic Kolmogorov systems2019-01-09Paper
Invariant curves and analytic integrability of a planar vector field2018-12-03Paper
Algebraic Inverse Integrating Factors for a Class of Generalized Nilpotent Systems2018-11-20Paper
An exact homoclinic orbit and its connection with the Rössler system2018-09-24Paper
Structural stability of planar quasi-homogeneous vector fields2018-09-17Paper
Comment on `Šilnikov-type orbits of Lorenz-family systems'2018-09-11Paper
Non-formally integrable centers admitting an algebraic inverse integrating factor2018-08-16Paper
The center problem for \(\mathbb{Z}_2\)-symmetric nilpotent vector fields2018-06-28Paper
Nondegenerate centers and limit cycles of cubic Kolmogorov systems2018-06-14Paper
The analytic integrability problem for perturbations of homogeneous quadratic Lotka-Volterra systems2018-05-08Paper
Nilpotent centres via inverse integrating factors2017-11-24Paper
A bifurcation analysis of planar nilpotent reversible systems2017-10-20Paper
Geometric criterium in the center problem2016-12-07Paper
Comment on ``Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization2016-07-27Paper
Analytic integrability inside a family of degenerate centers2016-05-11Paper
Comment on ``Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems2016-05-02Paper
A new algorithm for determining the monodromy of a planar differential system2016-04-25Paper
Analytic integrability of some examples of degenerate planar vector fields2016-04-11Paper
Analysis of the T-point-Hopf bifurcation in the Lorenz system2016-01-26Paper
The center problem. A view from the normal form theory2015-11-10Paper
Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system2015-10-28Paper
Local phase portraits through the Newton diagram of a vector field2015-10-26Paper
Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems2015-09-07Paper
Comments on ``Dynamics of the general Lorenz family by Y. Liu and W. Pang2015-08-26Paper
Comment on “Sil’nikov chaos of the Liu system” [Chaos 18, 013113 (2008)]2015-07-27Paper
Comments on: ``Invariant algebraic surfaces of the generalized Lorenz system2015-07-23Paper
Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram2015-06-02Paper
On orbital-reversibility for a class of planar dynamical systems2015-01-29Paper
The Lü system is a particular case of the Lorenz system2014-12-08Paper
https://portal.mardi4nfdi.de/entity/Q29277112014-11-04Paper
A class of non-integrable systems admitting an inverse integrating factor2014-08-26Paper
On Darboux polynomials and rational first integrals of the generalized Lorenz system2014-05-27Paper
Analytic integrability for some degenerate planar vector fields2014-05-09Paper
Comments on ``Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces2014-05-05Paper
Comments on ``Non-existence of Shilnikov chaos in continuous-time systems2013-12-09Paper
The reversibility problem for quasi-homogeneous dynamical systems2013-11-11Paper
On the formal integrability problem for planar differential systems2013-09-19Paper
HOMOCLINIC INTERACTIONS NEAR A TRIPLE-ZERO DEGENERACY IN CHUA'S EQUATION2013-08-23Paper
Analytic integrability for some degenerate planar systems2013-06-06Paper
Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems2013-05-31Paper
A note on analytic integrability of planar vector fields2013-03-13Paper
Nilpotent systems admitting an algebraic inverse integrating factor over \(\mathbb{C}((x,y))\)2013-02-05Paper
Analysis of a Belyakov homoclinic connection with \(\mathbb Z_2\)-symmetry2013-01-04Paper
HOPF BIFURCATIONS AND THEIR DEGENERACIES IN CHUA'S EQUATION2012-10-19Paper
https://portal.mardi4nfdi.de/entity/Q28977282012-07-16Paper
Comment on ``Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system2012-06-08Paper
Centers of quasi-homogeneous polynomial planar systems2012-05-20Paper
OSCILLATION-SLIDING IN A MODIFIED VAN DER POL–DUFFING ELECTRONIC OSCILLATOR2012-05-03Paper
Characterization of a monodromic singular point of a planar vector field2011-07-22Paper
Integrability of two dimensional quasi-homogeneous polynomial differential systems2011-03-01Paper
ANALYSIS OF THE T-POINT–HOPF BIFURCATION WITH ℤ2-SYMMETRY: APPLICATION TO CHUA'S EQUATION2010-09-01Paper
Rational integrability of two-dimensional quasi-homogeneous polynomial differential systems2010-07-13Paper
Reversibility and quasi-homogeneous normal forms of vector fields2010-06-11Paper
https://portal.mardi4nfdi.de/entity/Q34002572010-02-05Paper
Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems2010-01-15Paper
Like-linearizations of vector fields2009-12-22Paper
Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations2009-10-09Paper
A degenerate Hopf-saddle-node bifurcation analysis in a family of electronic circuits2009-09-22Paper
Characterizing isochronous points and computing isochronous sections2009-06-10Paper
The integrability problem for a class of planar systems2009-02-20Paper
RESONANCES OF PERIODIC ORBITS IN RÖSSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION2008-07-02Paper
OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NONTRANSVERSAL T-POINT IN CHUA'S EQUATION2008-05-16Paper
Isochronous centres and foci via commutators and normal forms2008-03-20Paper
The center problem for a family of systems of differential equations having a nilpotent singular point2008-01-28Paper
ON THE HOPF–PITCHFORK BIFURCATION IN THE CHUA'S EQUATION2006-06-23Paper
TAKENS–BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL2006-06-23Paper
HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION2005-11-01Paper
SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY2005-03-08Paper
CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION2005-03-08Paper
An algorithm for computing quasi-homogeneous formal normal forms under equivalence2005-01-17Paper
A bifurcation analysis of a simple electronic circuit2004-11-18Paper
A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING2004-08-09Paper
Computing simplest normal forms for the Takens-Bogdanov singularity2004-06-09Paper
Isochronicity via normal form2003-10-09Paper
https://portal.mardi4nfdi.de/entity/Q47088752003-10-07Paper
Computing center conditions for vector fields with constant angular speed2003-05-22Paper
Centers with degenerate infinity and their commutators.2003-05-04Paper
Quasi-homogeneous normal forms2003-03-12Paper
https://portal.mardi4nfdi.de/entity/Q43307062002-12-17Paper
Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations2002-10-23Paper
Hypernormal form calculation for triple-zero degeneracies2002-07-14Paper
ON A CODIMENSION-THREE UNFOLDING OF THE INTERACTION OF DEGENERATE HOPF AND PITCHFORK BIFURCATIONS2002-04-15Paper
A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator2001-01-30Paper
https://portal.mardi4nfdi.de/entity/Q45137812000-11-19Paper
https://portal.mardi4nfdi.de/entity/Q47024812000-10-17Paper
https://portal.mardi4nfdi.de/entity/Q47024822000-10-17Paper
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation2000-05-10Paper
Hypernormal Form for the Hopf-Zero Bifurcation2000-02-29Paper
Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies2000-01-31Paper
Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator2000-01-09Paper

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