On the Hopf-Pitchfork bifurcation in the Chua's equation. - Antonio Algaba; Manuel Merino; Emilio Freire; Estanislao Gamero; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2000)

Takens-Bogdanov bifurcations of periodic orbits and Arnold's Tongues in a Three-Dimensional Electronic Model. - Antonio Algaba; Manuel Merino; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2001)

A Note on the Triple-Zero Linear Degeneracy: Normal Forms, Dynamical and bifurcation Behaviors of an Unfolding. - Emilio Freire; Estanislao Gamero; Alejandro J. Rodríguez-Luis; Antonio Algaba (Int. J. Bifurc. Chaos, 2002)

Some Results on Chua's equation Near a Triple-Zero Linear Degeneracy. - Antonio Algaba; Manuel Merino; Emilio Freire; Estanislao Gamero; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2003)

Closed Curves of Global bifurcations in Chua's equation: a Mechanism for their Formation. - Antonio Algaba; Manuel Merino; Fernando Fernández-Sánchez; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2003)

Homoclinic Connections Near a Belyakov Point in Chua's equation. - Antonio Algaba; Manuel Merino; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2005)

Open-to-Closed Curves of saddle-Node bifurcations of Periodic orbits Near a Nontransversal T-Point in Chua's equation. - Antonio Algaba; Manuel Merino; Fernando Fernández-Sánchez; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2006)

Resonances of Periodic orbits in RÖssler System in Presence of a Triple-Zero bifurcation. - Antonio Algaba; Emilio Freire; Estanislao Gamero; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2007)

Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. - Antonio Algaba; Cristóbal García; Manuel Reyes (Appl. Math. Comput., 2009)

Analysis of the T-Point-Hopf bifurcation with Z2-Symmetry: Application to Chua's equation. - Antonio Algaba; Fernando Fernández-Sánchez; Manuel Merino; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2010)

Hopf bifurcations and their Degeneracies in Chua's equation. - Antonio Algaba; Manuel Merino; Fernando Fernández-Sánchez; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2011)

Homoclinic Interactions Near a Triple-Zero Degeneracy in Chua's equation. - Antonio Algaba; Manuel Merino; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2012)

Comment on "Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems" [Appl. Math. Comput. 218 (2012) 11859-11870]. - Antonio Algaba; Fernando Fernández-Sánchez; Manuel Merino; Alejandro J. Rodríguez-Luis (Appl. Math. Comput., 2014)

A new algorithm for determining the monodromy of a planar differential system. - Antonio Algaba; Cristóbal García; Manuel Reyes (Appl. Math. Comput., 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]. - Antonio Algaba; Fernando Fernández-Sánchez; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2014)

Centers on center manifolds in the Lorenz, Chen and Lü systems. - Antonio Algaba; Fernando Fernández-Sánchez; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2014)

On orbital-reversibility for a class of planar dynamical systems. - Antonio Algaba; I. Checa; Cristóbal García; Estanislao Gamero (Commun. Nonlinear Sci. Numer. Simul., 2015)

Analysis of the T-point-Hopf bifurcation in the Lorenz system. - Antonio Algaba; Fernando Fernández-Sánchez; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2015)

Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. - Antonio Algaba; Cristóbal García; Manuel Reyes (J. Comput. Appl. Math., 2015)

Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. - Antonio Algaba; M. C. Domínguez-Moreno; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2016)

Superluminal periodic orbits in the Lorenz system. - Antonio Algaba; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2016)

Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case Cin. - Antonio Algaba; M. C. Domínguez-Moreno; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2019)

Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor. - Antonio Algaba; Cristóbal García; Jaume Giné (Commun. Nonlinear Sci. Numer. Simul., 2019)

Orbital normal forms for a class of three-dimensional systems with an application to Hopf-zero bifurcation analysis of Fitzhugh-Nagumo system. - Antonio Algaba; Natalia Fuentes; Estanislao Gamero; Cristóbal García (Appl. Math. Comput., 2020)

Analytical approximation of cuspidal loops using a nonlinear time transformation method. - Bo-Wei Qin; Kwok-Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (Appl. Math. Comput., 2020)

Asymptotic expansions for a family of non-generic canards using parametric representation. - Bo-Wei Qin; Kwok-Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (Appl. Math. Lett., 2020)

Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms. - Antonio Algaba; Kwok-Wai Chung; Bo-Wei Qin; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2020)

High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems. - Bo-Wei Qin; Kwok-Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2020)

High-Order Analysis of Canard Explosion in the Brusselator Equations. - Bo-Wei Qin; Kwok-Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (Int. J. Bifurc. Chaos, 2020)

On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. - Antonio Algaba; Natalia Fuentes; Estanislao Gamero; Cristóbal García (Appl. Math. Comput., 2021)

High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Singularities. - Bo-Wei Qin; Kwok Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (SIAM J. Appl. Dyn. Syst., 2021)

Orbital Hypernormal Forms. - Antonio Algaba; Estanislao Gamero; Cristóbal García (Symmetry, 2021)

Study of a homoclinic canard explosion from a degenerate center. - Bo-Wei Qin; Kwok-Wai Chung; Antonio Algaba; Alejandro J. Rodríguez-Luis (Appl. Math. Lett., 2022)

Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. - Antonio Algaba; M. C. Domínguez-Moreno; Manuel Merino; Alejandro J. Rodríguez-Luis (Commun. Nonlinear Sci. Numer. Simul., 2022)

Center conditions to find certain degenerate centers with characteristic directions. - Antonio Algaba; Cristóbal García; Jaume Giné (Math. Comput. Simul., 2024)