Antonio Algaba

Orcid: 0000-0001-5872-7112

According to our database1, Antonio Algaba authored at least 35 papers between 2000 and 2024.

Collaborative distances:
  • Dijkstra number2 of six.
  • Erdős number3 of five.

Timeline

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Bibliography

2024
Center conditions to find certain degenerate centers with characteristic directions.
Math. Comput. Simul., January, 2024

2022
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system.
Commun. Nonlinear Sci. Numer. Simul., 2022

Study of a homoclinic canard explosion from a degenerate center.
Appl. Math. Lett., 2022

2021
Orbital Hypernormal Forms.
Symmetry, 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 J. Appl. Dyn. Syst., 2021

On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier.
Appl. Math. Comput., 2021

2020
High-Order Analysis of Canard Explosion in the Brusselator Equations.
Int. J. Bifurc. Chaos, 2020

High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems.
Int. J. Bifurc. Chaos, 2020

Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms.
Commun. Nonlinear Sci. Numer. Simul., 2020

Asymptotic expansions for a family of non-generic canards using parametric representation.
Appl. Math. Lett., 2020

Analytical approximation of cuspidal loops using a nonlinear time transformation method.
Appl. Math. Comput., 2020

Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system.
Appl. Math. Comput., 2020

2019
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor.
Commun. Nonlinear Sci. Numer. Simul., 2019

Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case C<sub>in</sub>.
Commun. Nonlinear Sci. Numer. Simul., 2019

2016
Superluminal periodic orbits in the Lorenz system.
Commun. Nonlinear Sci. Numer. Simul., 2016

Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system.
Commun. Nonlinear Sci. Numer. Simul., 2016

2015
Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram.
J. Comput. Appl. Math., 2015

Analysis of the T-point-Hopf bifurcation in the Lorenz system.
Commun. Nonlinear Sci. Numer. Simul., 2015

On orbital-reversibility for a class of planar dynamical systems.
Commun. Nonlinear Sci. Numer. Simul., 2015

2014
Centers on center manifolds in the Lorenz, Chen and Lü systems.
Commun. Nonlinear Sci. Numer. Simul., 2014

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].
Commun. Nonlinear Sci. Numer. Simul., 2014

A new algorithm for determining the monodromy of a planar differential system.
Appl. Math. Comput., 2014

Comment on "Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems" [Appl. Math. Comput. 218 (2012) 11859-11870].
Appl. Math. Comput., 2014

2012
Homoclinic Interactions Near a Triple-Zero Degeneracy in Chua's equation.
Int. J. Bifurc. Chaos, 2012

2011
Hopf bifurcations and their Degeneracies in Chua's equation.
Int. J. Bifurc. Chaos, 2011

2010
Analysis of the T-Point-Hopf bifurcation with Z<sub>2</sub>-Symmetry: Application to Chua's equation.
Int. J. Bifurc. Chaos, 2010

2009
Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations.
Appl. Math. Comput., 2009

2007
Resonances of Periodic orbits in RÖssler System in Presence of a Triple-Zero bifurcation.
Int. J. Bifurc. Chaos, 2007

2006
Open-to-Closed Curves of saddle-Node bifurcations of Periodic orbits Near a Nontransversal T-Point in Chua's equation.
Int. J. Bifurc. Chaos, 2006

2005
Homoclinic Connections Near a Belyakov Point in Chua's equation.
Int. J. Bifurc. Chaos, 2005

2003
Closed Curves of Global bifurcations in Chua's equation: a Mechanism for their Formation.
Int. J. Bifurc. Chaos, 2003

Some Results on Chua's equation Near a Triple-Zero Linear Degeneracy.
Int. J. Bifurc. Chaos, 2003

2002
A Note on the Triple-Zero Linear Degeneracy: Normal Forms, Dynamical and bifurcation Behaviors of an Unfolding.
Int. J. Bifurc. Chaos, 2002

2001
Takens-Bogdanov bifurcations of periodic orbits and Arnold's Tongues in a Three-Dimensional Electronic Model.
Int. J. Bifurc. Chaos, 2001

2000
On the Hopf-Pitchfork bifurcation in the Chua's equation.
Int. J. Bifurc. Chaos, 2000


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