The integrability problem for a class of planar systems A Algaba, E Gamero, C García Nonlinearity 22 (2), 395, 2009 | 105 | 2009 |
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 |
Isochronicity via normal form A Algaba, E Freire, E Gamero Qualitative Theory of Dynamical Systems 1, 133-156, 2000 | 69 | 2000 |
Hypernormal form for the Hopf-zero bifurcation A Algaba, E Freire, E Gamero International Journal of Bifurcation and Chaos 8 (10), 1857-1887, 1998 | 69 | 1998 |
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 | 58 | 2013 |
Quasi-homogeneous normal forms A Algaba, E Freire, E Gamero, C Garcıa Journal of computational and applied mathematics 150 (1), 193-216, 2003 | 56 | 2003 |
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 | 52 | 1998 |
Computing center conditions for vector fields with constant angular speed A Algaba, M Reyes Journal of computational and applied mathematics 154 (1), 143-159, 2003 | 51 | 2003 |
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), 1177-1206, 1999 | 50 | 1999 |
Centers of quasi-homogeneous polynomial planar systems A Algaba, N Fuentes, C García Nonlinear Analysis: Real World Applications 13 (1), 419-431, 2012 | 49 | 2012 |
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 | 46 | 2013 |
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 | 45 | 2003 |
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 | 43 | 2015 |
Integrability of two dimensional quasi-homogeneous polynomial differential systems A Algaba, C García, M Reyes The Rocky Mountain Journal of Mathematics, 1-22, 2011 | 43 | 2011 |
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 | 42 | 2000 |
Monodromy, center–focus and integrability problems for quasi-homogeneous polynomial systems A Algaba, E Freire, E Gamero, C García Nonlinear Analysis: Theory, Methods & Applications 72 (3-4), 1726-1736, 2010 | 40 | 2010 |
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 |
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 | 39 | 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 | 38 | 2014 |
Hypernormal forms for equilibria of vector fields. Codimension one linear degeneracies A Algaba, E Freire, E Gamero The Rocky Mountain journal of mathematics, 13-45, 1999 | 38 | 1999 |