Antonio Algaba

36 papers Journal 36

Year	Rank	Type	Title / Venue / Authors
2026	J	`jnl`	High-order Approximations of the Canard Explosion in a Delayed van der Pol System. SIAM J. Appl. Dyn. Syst. Shu Zhang, Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2024	J	`jnl`	Center conditions to find certain degenerate centers with characteristic directions. Math. Comput. Simul. Antonio Algaba, Cristóbal García, Jaume Giné
2022	J	`jnl`	Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
2022	J	`jnl`	Study of a homoclinic canard explosion from a degenerate center. Appl. Math. Lett. Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2021	J	`jnl`	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. Bo-Wei Qin, Kwok Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2021	J	`jnl`	On the integrability problem for the Hopf-zero singularity and its relation with the inverse Jacobi multiplier. Appl. Math. Comput. Antonio Algaba, Natalia Fuentes, Estanislao Gamero, Cristóbal García
2021	J	`jnl`	Orbital Hypernormal Forms. Symmetry Antonio Algaba, Estanislao Gamero, Cristóbal García
2020	J	`jnl`	Analytical approximation of cuspidal loops using a nonlinear time transformation method. Appl. Math. Comput. Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2020	J	`jnl`	Asymptotic expansions for a family of non-generic canards using parametric representation. Appl. Math. Lett. Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2020	J	`jnl`	Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, Kwok-Wai Chung, Bo-Wei Qin, Alejandro J. Rodríguez-Luis
2020	J	`jnl`	High-Order Analysis of Canard Explosion in the Brusselator Equations. Int. J. Bifurc. Chaos Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2020	J	`jnl`	High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems. Int. J. Bifurc. Chaos Bo-Wei Qin, Kwok-Wai Chung, Antonio Algaba, Alejandro J. Rodríguez-Luis
2020	J	`jnl`	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. Antonio Algaba, Natalia Fuentes, Estanislao Gamero, Cristóbal García
2019	J	`jnl`	Integrability of planar nilpotent differential systems through the existence of an inverse integrating factor. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, Cristóbal García, Jaume Giné
2019	J	`jnl`	Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case C Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
2016	J	`jnl`	Superluminal periodic orbits in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
2016	J	`jnl`	Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, M. C. Domínguez-Moreno, Manuel Merino, Alejandro J. Rodríguez-Luis
2015	J	`jnl`	Analysis of the T-point-Hopf bifurcation in the Lorenz system. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
2015	J	`jnl`	Monodromy of a class of analytic generalized nilpotent systems through their Newton diagram. J. Comput. Appl. Math. Antonio Algaba, Cristóbal García, Manuel Reyes
2015	J	`jnl`	On orbital-reversibility for a class of planar dynamical systems. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, I. Checa, Cristóbal García, Estanislao Gamero
2014	J	`jnl`	A new algorithm for determining the monodromy of a planar differential system. Appl. Math. Comput. Antonio Algaba, Cristóbal García, Manuel Reyes
2014	J	`jnl`	Centers on center manifolds in the Lorenz, Chen and Lü systems. Commun. Nonlinear Sci. Numer. Simul. Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
2014	J	`jnl`	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. Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
2014	J	`jnl`	Comment on "Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems" [Appl. Math. Comput. 218 (2012) 11859-11870]. Appl. Math. Comput. Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
2012	J	`jnl`	Homoclinic Interactions Near a Triple-Zero Degeneracy in Chua's equation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
2011	J	`jnl`	Hopf bifurcations and their Degeneracies in Chua's equation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
2010	J	`jnl`	Analysis of the T-Point-Hopf bifurcation with Z Int. J. Bifurc. Chaos Antonio Algaba, Fernando Fernández-Sánchez, Manuel Merino, Alejandro J. Rodríguez-Luis
2009	J	`jnl`	Local bifurcation of limit cycles and integrability of a class of nilpotent systems of differential equations. Appl. Math. Comput. Antonio Algaba, Cristóbal García, Manuel Reyes
2007	J	`jnl`	Resonances of Periodic orbits in RÖssler System in Presence of a Triple-Zero bifurcation. Int. J. Bifurc. Chaos Antonio Algaba, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis
2006	J	`jnl`	Open-to-Closed Curves of saddle-Node bifurcations of Periodic orbits Near a Nontransversal T-Point in Chua's equation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
2005	J	`jnl`	Homoclinic Connections Near a Belyakov Point in Chua's equation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
2003	J	`jnl`	Closed Curves of Global bifurcations in Chua's equation: a Mechanism for their Formation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Fernando Fernández-Sánchez, Alejandro J. Rodríguez-Luis
2003	J	`jnl`	Some Results on Chua's equation Near a Triple-Zero Linear Degeneracy. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis
2002	J	`jnl`	A Note on the Triple-Zero Linear Degeneracy: Normal Forms, Dynamical and bifurcation Behaviors of an Unfolding. Int. J. Bifurc. Chaos Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis, Antonio Algaba
2001	J	`jnl`	Takens-Bogdanov bifurcations of periodic orbits and Arnold's Tongues in a Three-Dimensional Electronic Model. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Alejandro J. Rodríguez-Luis
2000	J	`jnl`	On the Hopf-Pitchfork bifurcation in the Chua's equation. Int. J. Bifurc. Chaos Antonio Algaba, Manuel Merino, Emilio Freire, Estanislao Gamero, Alejandro J. Rodríguez-Luis