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 |
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 |
Existence of a reversible T-point heteroclinic cycle in a piecewise linear version of the Michelson system V Carmona, F Fernández-Sánchez, AE Teruel SIAM journal on applied dynamical systems 7 (3), 1032-1048, 2008 | 46 | 2008 |
T-Points in a Z2-Symmetric Electronic Oscillator. (I) Analysis F Fernández-Sánchez, E Freire, AJ Rodríguez-Luis Nonlinear Dynamics 28, 53-69, 2002 | 46 | 2002 |
Existence of homoclinic connections in continuous piecewise linear systems V Carmona, F Fernández-Sánchez, E García-Medina, AE Teruel Chaos: An Interdisciplinary Journal of Nonlinear Science 20 (1), 2010 | 44 | 2010 |
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 |
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 |
Analysis of the T-point-Hopf bifurcation in the Lorenz system A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Communications in Nonlinear Science and Numerical Simulation 22 (1-3), 676-691, 2015 | 25 | 2015 |
Comment on “Heteroclinic orbits in Chen circuit with time delay”[Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3058–3066] A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Communications in Nonlinear Science and Numerical Simulation 17 (6), 2708-2710, 2012 | 21 | 2012 |
Multiparametric bifurcations in an enzyme-catalyzed reaction model E Freire, L Pizarro, AJ Rodríguez-Luis, F Fernández-Sánchez International Journal of Bifurcation and Chaos 15 (03), 905-947, 2005 | 21 | 2005 |
Comment on “Sil’nikov chaos of the Liu system”[Chaos 18, 013113 (2008)] A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Chaos: An Interdisciplinary Journal of Nonlinear Science 21 (4), 2011 | 20 | 2011 |
Analysis of the T-point-Hopf bifurcation F Fernández-Sánchez, E Freire, AJ Rodríguez-Luis Physica D: Nonlinear Phenomena 237 (3), 292-305, 2008 | 20 | 2008 |
A new simple proof for Lum–Chua’s conjecture V Carmona, F Fernández-Sánchez, DD Novaes Nonlinear analysis: hybrid systems 40, 100992, 2021 | 19 | 2021 |
Integral characterization for Poincaré half-maps in planar linear systems V Carmona, F Fernández-Sánchez Journal of Differential Equations 305, 319-346, 2021 | 18 | 2021 |
Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Nonlinear Dynamics 63 (3), 455-476, 2011 | 18 | 2011 |
Closed curves of global bifurcations in Chua's equation: a mechanism for their formation A Algaba, M Merino, F Fernández-Sánchez, AJ Rodríguez-Luis International Journal of Bifurcation and Chaos 13 (03), 609-616, 2003 | 18 | 2003 |
Oscillation-sliding in a modified van der Pol–Duffing electronic oscillator A Algaba, F Fernandez-Sanchez, E Freire, E Gamero, AJ Rodriguez-Luis Journal of sound and vibration 249 (5), 899-907, 2002 | 18 | 2002 |
Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line V Carmona, F Fernández-Sánchez, DD Novaes Applied Mathematics Letters 137, 108501, 2023 | 17 | 2023 |
On Darboux polynomials and rational first integrals of the generalized Lorenz system A Algaba, F Fernández-Sánchez, M Merino, AJ Rodríguez-Luis Bulletin des sciences mathematiques 138 (3), 317-322, 2014 | 17 | 2014 |
Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations V Carmona, S Fernández-García, F Fernández-Sánchez, ... Nonlinear Analysis: Theory, Methods & Applications 75 (15), 5866-5883, 2012 | 16 | 2012 |