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Alejandro J. Rodríguez-Luis
Alejandro J. Rodríguez-Luis
Professor of Applied Mathematics, Universidad de Sevilla
Verified email at us.es
Title
Cited by
Cited by
Year
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
921993
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
782002
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
582013
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
501998
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
471999
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
462013
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
462003
T-Points in a Z2-Symmetric Electronic Oscillator. (I) Analysis
F Fernández-Sánchez, E Freire, AJ Rodríguez-Luis
Nonlinear Dynamics 28, 53-69, 2002
452002
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
431999
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
412015
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
412000
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
402000
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
391999
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
372014
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
371986
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
342016
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
341999
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
321999
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
262012
A bifurcation analysis of a simple electronic circuit
A Algaba, E , Gamero, AJ Rodriguez-Luis
Communications in Nonlinear Science and Numerical Simulation 10 (2), 169-178, 2005
262005
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