| A case study for homoclinic chaos in an autonomous electronic circuit: A trip from Takens-Bogdanov to Hopf-Šil'nikov E Freire, AJ Rodriguez-Luis, E Gamero, E Ponce Physica D: Nonlinear Phenomena 62 (1-4), 230-253, 1993 | 89 | 1993 |
| A note on the triple-zero linear degeneracy: normal forms, dynamical and bifurcation behaviors of an unfolding E Freire, E Gamero, AJ Rodríguez-Luis, A Algaba International Journal of Bifurcation and Chaos 12 (12), 2799-2820, 2002 | 79 | 2002 |
| Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Chaos: An Interdisciplinary Journal of Nonlinear Science 23 (3), 2013 | 55 | 2013 |
| Analysis of Hopf and Takens–Bogdanov bifurcations in a modified van der Pol–Duffing oscillator A Algaba, E Freire, E Gamero, AJ Rodríguez-Luis Nonlinear Dynamics 16, 369-404, 1998 | 48 | 1998 |
| Some results on Chua's equation near a triple-zero linear degeneracy A Algaba, M Merino, E Freire, E Gamero, AJ Rodríguez-Luis International Journal of Bifurcation and Chaos 13 (03), 583-608, 2003 | 47 | 2003 |
| The Lü system is a particular case of the Lorenz system A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Physics Letters A 377 (39), 2771-2776, 2013 | 45 | 2013 |
| A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation A Algaba, E Freire, E Gamero, AJ Rodríguez-Luis Nonlinearity 12 (4), 1177, 1999 | 45 | 1999 |
| T-Points in a Z2-Symmetric Electronic Oscillator. (I) Analysis F Fernández-Sánchez, E Freire, AJ Rodríguez-Luis Nonlinear Dynamics 28, 53-69, 2002 | 43 | 2002 |
| The non-transverse Shil’nikov–Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies AR Champneys, AJ Rodrıguez-Luis Physica D: Nonlinear Phenomena 128 (2-4), 130-158, 1999 | 41 | 1999 |
| On the Hopf–pitchfork bifurcation in the Chua's equation A Algaba, M Merino, E Freire, E Gamero, AJ Rodríguez-Luis International Journal of Bifurcation and Chaos 10 (02), 291-305, 2000 | 40 | 2000 |
| Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems A Algaba, MC Domínguez-Moreno, M Merino, AJ Rodríguez-Luis Nonlinear Dynamics 79, 885-902, 2015 | 39 | 2015 |
| A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol–Duffing oscillator A Algaba, E Freire, E Gamero, AJ Rodríguez-Luis Nonlinear Dynamics 22, 249-269, 2000 | 39 | 2000 |
| Hypernormal form calculation for triple-zero degeneracies E Gamero, E Freire, AJ Rodríguez-Luis, E Ponce, A Algaba Bulletin of the Belgian Mathematical Society-Simon Stevin 6 (3), 357-368, 1999 | 37 | 1999 |
| Stationary instabilities in a dielectric liquid layer subjected to an arbitrary unipolar injection and an adverse thermal gradient ATR A Rodriguez-Luis, A Castellanos Journal of Physics D: Applied Physics 19 (11), 2115, 1986 | 36 | 1986 |
| On the Takens-Bogdanov bifurcation in the Chua's equation A Algaba, E Freire, E Gamero, AJ Rodriguez-Luis IEICE transactions on fundamentals of electronics, communications and …, 1999 | 35 | 1999 |
| Centers on center manifolds in the Lorenz, Chen and Lü systems A Algaba, F Fernández-Sánchez, M Merino, AJ Rodriguez-Luis Communications in Nonlinear Science and Numerical Simulation 19 (4), 772-775, 2014 | 34 | 2014 |
| Takens–Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system A Algaba, MC Domínguez-Moreno, M Merino, AJ Rodríguez-Luis Communications in Nonlinear Science and Numerical Simulation 30 (1-3), 328-343, 2016 | 31 | 2016 |
| On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations A Algaba, E Freire, E Gamero, AJ Rodríguez-Luis International Journal of Bifurcation and Chaos 9 (07), 1333-1362, 1999 | 30 | 1999 |
| Comment on “Existence of heteroclinic orbits of the Shilʼnikov type in a 3D quadratic autonomous chaotic system”[J. Math. Anal. Appl. 315 (2006) 106–119] A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Journal of Mathematical Analysis and Applications 392 (1), 99-101, 2012 | 26 | 2012 |
| Takens–Bogdanov bifurcations of periodic orbits and Arnold's tongues in a three-dimensional electronic model A Algaba, M Merino, AJ Rodríguez-Luis International Journal of Bifurcation and Chaos 11 (02), 513-531, 2001 | 26 | 2001 |
Antonio AlgabaMatemáticas, Universidad de HuelvaVerified email at uhu.es
