Antonio Algaba

Publication Activity (10 Years)

Years Active: 2000-2024
Publications (10 Years): 19

Top Topics

Parametric Representation

Lyapunov Exponents

Dynamical Systems

Top Venues

Commun. Nonlinear Sci. Numer. Simul.

Appl. Math. Comput.

Appl. Math. Lett.

Int. J. Bifurc. Chaos

Publications

Antonio Algaba, Cristóbal García, Jaume Giné
Center conditions to find certain degenerate centers with characteristic directions. Math. Comput. Simul. 215 (2024)
Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. 111 (2022)
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
Study of a homoclinic canard explosion from a degenerate center. Appl. Math. Lett. 132 (2022)
Antonio Algaba, Estanislao Gamero, Cristóbal García
Orbital Hypernormal Forms. Symmetry 13 (8) (2021)
Antonio Algaba, N. Fuentes, Estanislao Gamero, Cristóbal García
On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. Appl. Math. Comput. 405 (2021)
Bo-Wei Qin, Kwok Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
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. 20 (1) (2021)
Antonio Algaba, N. Fuentes, Estanislao Gamero, Cristóbal García
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. 369 (2020)
Antonio Algaba, Kwok-Wai Chung, Bo-Wei Qin, Alejandro J. Rodríguez-Luis
Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms. Commun. Nonlinear Sci. Numer. Simul. 81 (2020)
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
Analytical approximation of cuspidal loops using a nonlinear time transformation method. Appl. Math. Comput. 373 (2020)
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
High-Order Analysis of Canard Explosion in the Brusselator Equations. Int. J. Bifurc. Chaos 30 (5) (2020)
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems. Int. J. Bifurc. Chaos 30 (1) (2020)
Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
Asymptotic expansions for a family of non-generic canards using parametric representation. Appl. Math. Lett. 106 (2020)
Antonio Algaba, Cristóbal García, Jaume Giné
Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor. Commun. Nonlinear Sci. Numer. Simul. 71 (2019)
Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
. Commun. Nonlinear Sci. Numer. Simul. 77 (2019)
Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
Superluminal periodic orbits in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. 39 (2016)
Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. 30 (Issues) (2016)
Antonio Algaba, I. Checa, Cristóbal García, Estanislao Gamero
On orbital-reversibility for a class of planar dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 20 (1) (2015)
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
Analysis of the T-point-Hopf bifurcation in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. 22 (Issues) (2015)
Antonio Algaba, Cristóbal García, Manuel Reyes
Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. J. Comput. Appl. Math. 287 (2015)
Antonio Algaba, Cristóbal García, Manuel Reyes
A new algorithm for determining the monodromy of a planar differential system. Appl. Math. Comput. 237 (2014)
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
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. 19 (3) (2014)
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
Centers on center manifolds in the Lorenz, Chen and Lü systems. Commun. Nonlinear Sci. Numer. Simul. 19 (4) (2014)
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
Comment on "Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems" [Appl. Math. Comput. 218 (2012) 11859-11870]. Appl. Math. Comput. 244 (2014)
Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
Homoclinic Interactions Near a Triple-Zero Degeneracy in Chua's equation. Int. J. Bifurc. Chaos 22 (6) (2012)
Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
Hopf bifurcations and their Degeneracies in Chua's equation. Int. J. Bifurc. Chaos 21 (9) (2011)
Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
-Symmetry: Application to Chua's equation. Int. J. Bifurc. Chaos 20 (4) (2010)
Antonio Algaba, Cristóbal García, Manuel Reyes
Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. Appl. Math. Comput. 215 (1) (2009)
Antonio Algaba, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis
Resonances of Periodic orbits in RÖssler System in Presence of a Triple-Zero bifurcation. Int. J. Bifurc. Chaos 17 (6) (2007)
Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
Open-to-Closed Curves of saddle-Node bifurcations of Periodic orbits Near a Nontransversal T-Point in Chua's equation. Int. J. Bifurc. Chaos 16 (9) (2006)
Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
Homoclinic Connections Near a Belyakov Point in Chua's equation. Int. J. Bifurc. Chaos 15 (4) (2005)
Antonio Algaba, Manuel Merino, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis
Some Results on Chua's equation Near a Triple-Zero Linear Degeneracy. Int. J. Bifurc. Chaos 13 (3) (2003)
Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
Closed Curves of Global bifurcations in Chua's equation: a Mechanism for their Formation. Int. J. Bifurc. Chaos 13 (3) (2003)
Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis, Antonio Algaba
A Note on the Triple-Zero Linear Degeneracy: Normal Forms, Dynamical and bifurcation Behaviors of an Unfolding. Int. J. Bifurc. Chaos 12 (12) (2002)
Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
Takens-Bogdanov bifurcations of periodic orbits and Arnold's Tongues in a Three-Dimensional Electronic Model. Int. J. Bifurc. Chaos 11 (2) (2001)
Antonio Algaba, Manuel Merino, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis
On the Hopf-Pitchfork bifurcation in the Chua's equation. Int. J. Bifurc. Chaos 10 (2) (2000)