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Rodríguez-Luis, Alejandro J.

Author ID: rodriguez-luis.alejandro-j Recent zbMATH articles by "Rodríguez-Luis, Alejandro J."
Published as: Rodríguez-Luis, A. J.; Rodríguez-Luis, Alejandro J.; Rodríguez Luis, Alejandro J.; Rodríguez Luis, A. J.
Documents Indexed: 81 Publications since 1989
Co-Authors: 15 Co-Authors with 81 Joint Publications
328 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

70 Publications have been cited 585 times in 259 Documents Cited by Year
A note on the triple-zero linear degeneracy: normal forms, dynamical and bifurcation behaviors of an unfolding. Zbl 1043.37042
Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.; Algaba, A.
34
2002
Chen’s attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system. Zbl 1323.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
32
2013
A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil’nikov. Zbl 0809.58040
Freire, E.; Rodríguez-Luis, A. J.; Gamero, E.; Ponce, E.
26
1993
The Lü system is a particular case of the Lorenz system. Zbl 1301.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
24
2013
Some results on Chua’s equation near a triple-zero linear degeneracy. Zbl 1083.93020
Algaba, A.; Merino, M.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
21
2003
A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator. Zbl 0976.70016
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
20
2000
T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis. Zbl 1065.34038
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
19
2002
On the Hopf-pitchfork bifurcation in the Chua’s equation. Zbl 1090.34545
Algaba, A.; Merino, M.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
18
2000
Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator. Zbl 0928.70042
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
17
1998
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation. Zbl 0943.34027
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
16
1999
Asymptotics of homoclinic bifurcation in a three-dimensional system. Zbl 0960.70019
Belhaq, M.; Houssni, M.; Freire, E.; Rodríguez-Luis, A. J.
14
2000
The non-transverse Shil’nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies. Zbl 0986.37041
Champneys, A. R.; Rodríguez-Luis, A. J.
13
1999
Hypernormal form calculation for triple-zero degeneracies. Zbl 0988.37062
Gamero, E.; Freire, E.; Rodríguez-Luis, A. J.; Ponce, E.; Algaba, A.
13
1999
Analysis of the T-point-Hopf bifurcation. Zbl 1158.34029
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
11
2008
Multiparametric bifurcations in an enzyme-catalyzed reaction model. Zbl 1069.92009
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.; Fernández-Sánchez, F.
11
2005
On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations. Zbl 0983.37057
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
11
1999
A bifurcation analysis of a simple electronic circuit. Zbl 1064.34030
Algaba, A.; Gamero, E.; Rodríguez-Luis, A. J.
11
2005
Bi-spiraling homoclinic curves around a T-point in Chua’s equation. Zbl 1129.37308
Fernández-Sánchez, Fernando; Freire, Emilio; Rodríguez-Luis, Alejandro J.
11
2004
Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations. Zbl 0999.37035
Algaba, A.; Fernández-Sánchez, F.; Freire, E.; Merino, M.; Rodríguez-Luis, A. J.
11
2002
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Zbl 1430.37054
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
11
2019
Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry. Zbl 1397.37022
Qin, B. W.; Chung, K. W.; Rodríguez-Luis, A. J.; Belhaq, M.
10
2018
Resonances of periodic orbits in Rössler system in presence of a triple-zero bifurcation. Zbl 1145.37322
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao; Rodríguez-Luis, Alejandro J.
9
2007
First-order approximation for canard periodic orbits in a van der Pol electronic oscillator. Zbl 1066.34510
Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
9
1999
Takens-Bogdanov bifurcations of periodic orbits and Arnold’s tongues in a three-dimensional electronic model. Zbl 1090.37543
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
9
2001
Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems. Zbl 1345.34069
Algaba, Antonio; Domínguez-Moreno, María C.; Merino, Manuel; Rodríguez-Luis, Alejandro J.
9
2015
Centers on center manifolds in the Lorenz, Chen and Lü systems. Zbl 1457.34061
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
9
2014
Numerical continuation of homoclinic orbits to non-hyperbolic equilibria in planar systems. Zbl 0983.70018
Freire, E.; Pizzaro, L.; Rodríguez-Luis, A. J.
8
2000
An exact homoclinic orbit and its connection with the Rössler system. Zbl 1396.37027
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
8
2015
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Zbl 1489.37069
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J.
8
2015
High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
8
2020
Analytical approximation of cuspidal loops using a nonlinear time transformation method. Zbl 1433.37019
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
8
2020
Closed curves of global bifurcations in Chua’s equation: a mechanism for their formation. Zbl 1056.37067
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
7
2003
Analysis of the T-point-Hopf bifurcation in the Lorenz system. Zbl 1329.37082
Algaba, A.; Fernández-Sánchez, F.; Merino, M.; Rodríguez-Luis, A. J.
7
2015
Comment on “Sil’nikov chaos of the Liu system”. Zbl 1317.34083
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
7
2011
Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms. Zbl 1453.37045
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
7
2020
On Darboux polynomials and rational first integrals of the generalized Lorenz system. Zbl 1302.34001
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
7
2014
An analytical and numerical study of a modified van der Pol oscillator. Zbl 1237.34059
Doedel, Eusebius J.; Freire Macías, Emilio; Gamero, Estanislao; Rodríguez-Luis, A. J.
6
2002
A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point. Zbl 1065.37019
Fernández-Sánchez, F.; Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
6
2003
Analysis of a Belyakov homoclinic connection with \(\mathbb Z_2\)-symmetry. Zbl 1268.37017
Algaba, Antonio; Merino, Manuel; Rodríguez-Luis, Alejandro J.
6
2012
Open-to-closed curves of saddle-node bifurcations of periodic orbits near a nontransversal T-point in Chua’s equation. Zbl 1142.34029
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
5
2006
High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities. Zbl 1478.34067
Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J.
5
2021
Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method. Zbl 1482.34138
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
5
2020
Comment on ‘Šilnikov-type orbits of Lorenz-family systems’. Zbl 1395.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
5
2013
Comments on “Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces”. Zbl 1291.34080
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
5
2014
High-order analysis of canard explosion in the Brusselator equations. Zbl 1447.34023
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
5
2020
Hopf bifurcations and their degeneracies in Chua’s equation. Zbl 1248.34059
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
4
2011
Oscillation-sliding in a modified van der Pol-Duffing electronic oscillator. Zbl 1237.34049
Algaba, A.; Fernández-Sánchez, F.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
4
2002
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
4
1997
Homoclinic connections near a Belyakov point in Chua’s equation. Zbl 1089.37019
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
4
2005
Comment on “Existence of heteroclinic orbits of the Shil’nikov type in a 3D quadratic autonomous chaotic system”. Zbl 1247.34072
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
4
2012
Comments on “The Chen system revisited”. Zbl 1306.34020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
4
2014
High-order study of the canard explosion in an aircraft ground dynamics model. Zbl 1459.34133
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
4
2020
Second period-doubling in a three-dimensional system. Zbl 0945.70538
Belhaq, M.; Freire, E.; Houssni, M.; Rodríguez-Luis, A. J.
3
1999
Numerical continuation of degenerate homoclinic orbits in planar systems. Zbl 0921.65050
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
3
1999
A method for homoclinic and heteroclinic continuation in two and three dimensions. Zbl 0705.34053
Rodríguez-Luis, A. J.; Freire, E.; Ponce, E.
3
1990
Superluminal periodic orbits in the Lorenz system. Zbl 1510.34082
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
3
2016
Homoclinic interactions near a triple-zero degeneracy in Chua’s equation. Zbl 1270.34113
Algaba, Antonio; Merino, Manuel; Rodríguez-Luis, Alejandro J.
3
2012
Analysis of the T-point-Hopf bifurcation with \(\mathbb Z_2\)-symmetry. Application to Chua’s equation. Zbl 1193.34078
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
3
2010
Asymptotic expansions for a family of non-generic canards using parametric representation. Zbl 1524.34135
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
3
2020
Comments on “Dynamics of the general Lorenz family” by Y. Liu and W. Pang. Zbl 1319.37011
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
2
2014
Comments on “Non-existence of Shilnikov chaos in continuous-time systems”. Zbl 1277.65108
Algaba, A.; Fernández-Sánchez, F.; Merino, M.; Rodríguez-Luis, A. J.
2
2013
Comment on “A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family”. Zbl 1470.37040
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
2
2014
Numerical bifurcation analysis of electronic circuits. Zbl 1126.65107
Freire, Emilio; Rodríguez-Luis, Alejandro J.
1
2007
Hopf-zero bifurcation: Normal form calculation and application to an electronic oscillator. Zbl 0938.37514
Gamero, E.; Freire, E.; Rodríguez-Luis, A. J.
1
1993
Examples of non-degenerate and degenerate cuspidal loops in planar systems. Zbl 0930.34031
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
1
1999
Comment on “Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems”. Zbl 1335.37011
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
1
2014
Comments on: “Invariant algebraic surfaces of the generalized Lorenz system”. Zbl 1323.34019
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
1
2015
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. Zbl 1500.34016
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J.
1
2022
Asymptotic expansions for a degenerate canard explosion. Zbl 1496.34094
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
1
2021
Study of a dynamical system with a strange attractor and invariant tori. Zbl 1470.37084
Algaba, Antonio; Merino, Manuel; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
1
2019
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. Zbl 1500.34016
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J.
1
2022
High-order approximation of heteroclinic bifurcations in truncated 2D-normal forms for the generic cases of Hopf-zero and nonresonant double Hopf singularities. Zbl 1478.34067
Qin, B. W.; Chung, K. W.; Algaba, A.; Rodríguez-Luis, A. J.
5
2021
Asymptotic expansions for a degenerate canard explosion. Zbl 1496.34094
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
1
2021
High-order analysis of global bifurcations in a codimension-three Takens-Bogdanov singularity in reversible systems. Zbl 1436.34035
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
8
2020
Analytical approximation of cuspidal loops using a nonlinear time transformation method. Zbl 1433.37019
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
8
2020
Computation of all the coefficients for the global connections in the \(\mathbb{Z}_2\)-symmetric Takens-Bogdanov normal forms. Zbl 1453.37045
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
7
2020
Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method. Zbl 1482.34138
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
5
2020
High-order analysis of canard explosion in the Brusselator equations. Zbl 1447.34023
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
5
2020
High-order study of the canard explosion in an aircraft ground dynamics model. Zbl 1459.34133
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
4
2020
Asymptotic expansions for a family of non-generic canards using parametric representation. Zbl 1524.34135
Qin, Bo-Wei; Chung, Kwok-Wai; Algaba, Antonio; Rodríguez-Luis, Alejandro J.
3
2020
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Zbl 1430.37054
Algaba, Antonio; Chung, Kwok-Wai; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
11
2019
Study of a dynamical system with a strange attractor and invariant tori. Zbl 1470.37084
Algaba, Antonio; Merino, Manuel; Qin, Bo-Wei; Rodríguez-Luis, Alejandro J.
1
2019
Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with \(D_4\) symmetry. Zbl 1397.37022
Qin, B. W.; Chung, K. W.; Rodríguez-Luis, A. J.; Belhaq, M.
10
2018
Superluminal periodic orbits in the Lorenz system. Zbl 1510.34082
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
3
2016
Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems. Zbl 1345.34069
Algaba, Antonio; Domínguez-Moreno, María C.; Merino, Manuel; Rodríguez-Luis, Alejandro J.
9
2015
An exact homoclinic orbit and its connection with the Rössler system. Zbl 1396.37027
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
8
2015
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Zbl 1489.37069
Algaba, A.; Domínguez-Moreno, M. C.; Merino, M.; Rodríguez-Luis, A. J.
8
2015
Analysis of the T-point-Hopf bifurcation in the Lorenz system. Zbl 1329.37082
Algaba, A.; Fernández-Sánchez, F.; Merino, M.; Rodríguez-Luis, A. J.
7
2015
Comments on: “Invariant algebraic surfaces of the generalized Lorenz system”. Zbl 1323.34019
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
1
2015
Centers on center manifolds in the Lorenz, Chen and Lü systems. Zbl 1457.34061
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
9
2014
On Darboux polynomials and rational first integrals of the generalized Lorenz system. Zbl 1302.34001
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
7
2014
Comments on “Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces”. Zbl 1291.34080
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
5
2014
Comments on “The Chen system revisited”. Zbl 1306.34020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
4
2014
Comments on “Dynamics of the general Lorenz family” by Y. Liu and W. Pang. Zbl 1319.37011
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
2
2014
Comment on “A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family”. Zbl 1470.37040
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
2
2014
Comment on “Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems”. Zbl 1335.37011
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
1
2014
Chen’s attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system. Zbl 1323.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
32
2013
The Lü system is a particular case of the Lorenz system. Zbl 1301.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
24
2013
Comment on ‘Šilnikov-type orbits of Lorenz-family systems’. Zbl 1395.37020
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
5
2013
Comments on “Non-existence of Shilnikov chaos in continuous-time systems”. Zbl 1277.65108
Algaba, A.; Fernández-Sánchez, F.; Merino, M.; Rodríguez-Luis, A. J.
2
2013
Analysis of a Belyakov homoclinic connection with \(\mathbb Z_2\)-symmetry. Zbl 1268.37017
Algaba, Antonio; Merino, Manuel; Rodríguez-Luis, Alejandro J.
6
2012
Comment on “Existence of heteroclinic orbits of the Shil’nikov type in a 3D quadratic autonomous chaotic system”. Zbl 1247.34072
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
4
2012
Homoclinic interactions near a triple-zero degeneracy in Chua’s equation. Zbl 1270.34113
Algaba, Antonio; Merino, Manuel; Rodríguez-Luis, Alejandro J.
3
2012
Comment on “Sil’nikov chaos of the Liu system”. Zbl 1317.34083
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
7
2011
Hopf bifurcations and their degeneracies in Chua’s equation. Zbl 1248.34059
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
4
2011
Analysis of the T-point-Hopf bifurcation with \(\mathbb Z_2\)-symmetry. Application to Chua’s equation. Zbl 1193.34078
Algaba, Antonio; Fernández-Sánchez, Fernando; Merino, Manuel; Rodríguez-Luis, Alejandro J.
3
2010
Analysis of the T-point-Hopf bifurcation. Zbl 1158.34029
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
11
2008
Resonances of periodic orbits in Rössler system in presence of a triple-zero bifurcation. Zbl 1145.37322
Algaba, Antonio; Freire, Emilio; Gamero, Estanislao; Rodríguez-Luis, Alejandro J.
9
2007
Numerical bifurcation analysis of electronic circuits. Zbl 1126.65107
Freire, Emilio; Rodríguez-Luis, Alejandro J.
1
2007
Open-to-closed curves of saddle-node bifurcations of periodic orbits near a nontransversal T-point in Chua’s equation. Zbl 1142.34029
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
5
2006
Multiparametric bifurcations in an enzyme-catalyzed reaction model. Zbl 1069.92009
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.; Fernández-Sánchez, F.
11
2005
A bifurcation analysis of a simple electronic circuit. Zbl 1064.34030
Algaba, A.; Gamero, E.; Rodríguez-Luis, A. J.
11
2005
Homoclinic connections near a Belyakov point in Chua’s equation. Zbl 1089.37019
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
4
2005
Bi-spiraling homoclinic curves around a T-point in Chua’s equation. Zbl 1129.37308
Fernández-Sánchez, Fernando; Freire, Emilio; Rodríguez-Luis, Alejandro J.
11
2004
Some results on Chua’s equation near a triple-zero linear degeneracy. Zbl 1083.93020
Algaba, A.; Merino, M.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
21
2003
Closed curves of global bifurcations in Chua’s equation: a mechanism for their formation. Zbl 1056.37067
Algaba, Antonio; Merino, Manuel; Fernández-Sánchez, Fernando; Rodríguez-Luis, Alejandro J.
7
2003
A model for the analysis of the dynamical consequences of a nontransversal intersection of the two-dimensional manifolds involved in a T-point. Zbl 1065.37019
Fernández-Sánchez, F.; Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
6
2003
A note on the triple-zero linear degeneracy: normal forms, dynamical and bifurcation behaviors of an unfolding. Zbl 1043.37042
Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.; Algaba, A.
34
2002
T-points in a \(\mathbb Z_2\)-symmetric electronic oscillator. I: Analysis. Zbl 1065.34038
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
19
2002
Nontransversal curves of \(T\)-points: A source of closed curves of global bifurcations. Zbl 0999.37035
Algaba, A.; Fernández-Sánchez, F.; Freire, E.; Merino, M.; Rodríguez-Luis, A. J.
11
2002
An analytical and numerical study of a modified van der Pol oscillator. Zbl 1237.34059
Doedel, Eusebius J.; Freire Macías, Emilio; Gamero, Estanislao; Rodríguez-Luis, A. J.
6
2002
Oscillation-sliding in a modified van der Pol-Duffing electronic oscillator. Zbl 1237.34049
Algaba, A.; Fernández-Sánchez, F.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
4
2002
Takens-Bogdanov bifurcations of periodic orbits and Arnold’s tongues in a three-dimensional electronic model. Zbl 1090.37543
Algaba, A.; Merino, M.; Rodríguez-Luis, A. J.
9
2001
A tame degenerate Hopf-pitchfork bifurcation in a modified van der Pol-Duffing oscillator. Zbl 0976.70016
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
20
2000
On the Hopf-pitchfork bifurcation in the Chua’s equation. Zbl 1090.34545
Algaba, A.; Merino, M.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
18
2000
Asymptotics of homoclinic bifurcation in a three-dimensional system. Zbl 0960.70019
Belhaq, M.; Houssni, M.; Freire, E.; Rodríguez-Luis, A. J.
14
2000
Numerical continuation of homoclinic orbits to non-hyperbolic equilibria in planar systems. Zbl 0983.70018
Freire, E.; Pizzaro, L.; Rodríguez-Luis, A. J.
8
2000
A three-parameter study of a degenerate case of the Hopf-pitchfork bifurcation. Zbl 0943.34027
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
16
1999
The non-transverse Shil’nikov-Hopf bifurcation: uncoupling of homoclinic orbits and homoclinic tangencies. Zbl 0986.37041
Champneys, A. R.; Rodríguez-Luis, A. J.
13
1999
Hypernormal form calculation for triple-zero degeneracies. Zbl 0988.37062
Gamero, E.; Freire, E.; Rodríguez-Luis, A. J.; Ponce, E.; Algaba, A.
13
1999
On a codimension-three unfolding of the interaction of degenerate Hopf and pitchfork bifurcations. Zbl 0983.37057
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
11
1999
First-order approximation for canard periodic orbits in a van der Pol electronic oscillator. Zbl 1066.34510
Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
9
1999
Second period-doubling in a three-dimensional system. Zbl 0945.70538
Belhaq, M.; Freire, E.; Houssni, M.; Rodríguez-Luis, A. J.
3
1999
Numerical continuation of degenerate homoclinic orbits in planar systems. Zbl 0921.65050
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
3
1999
Examples of non-degenerate and degenerate cuspidal loops in planar systems. Zbl 0930.34031
Freire, E.; Pizarro, L.; Rodríguez-Luis, A. J.
1
1999
Analysis of Hopf and Takens-Bogdanov bifurcations in a modified van der Pol-Duffing oscillator. Zbl 0928.70042
Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J.
17
1998
Isolas, cusps and global bifurcations in an electronic oscillator. Zbl 0940.70018
Fernández-Sánchez, F.; Freire, E.; Rodríguez-Luis, A. J.
4
1997
A case study for homoclinic chaos in an autonomous electronic circuit. A trip from Takens-Bogdanov to Hopf-Sil’nikov. Zbl 0809.58040
Freire, E.; Rodríguez-Luis, A. J.; Gamero, E.; Ponce, E.
26
1993
Hopf-zero bifurcation: Normal form calculation and application to an electronic oscillator. Zbl 0938.37514
Gamero, E.; Freire, E.; Rodríguez-Luis, A. J.
1
1993
A method for homoclinic and heteroclinic continuation in two and three dimensions. Zbl 0705.34053
Rodríguez-Luis, A. J.; Freire, E.; Ponce, E.
3
1990
all top 5

Cited by 390 Authors

51 Rodríguez-Luis, Alejandro J.
44 Algaba, Antonio
29 Merino, Manuel
26 Fernández-Sánchez, Fernando
14 Freire Macías, Emilio
13 Qin, Bo-Wei
12 Chung, Kwok-Wai
8 Gamero, Estanislao
6 Barrio, Roberto
6 Liu, Xingbo
5 Carmona, Victoriano
5 Gazor, Majid
5 Llibre, Jaume
5 Moiola, Jorge Luis
5 Teruel, Antonio E.
5 Zhang, Fuchen
4 Belhaq, Mohamed
4 García-Medina, Elisabeth
4 Ibáñez, Santiago
4 Knobloch, Edgar
4 Kuznetsov, Yuri Alexandrovich
4 Li, Chunbiao
4 Rodrigues, Alexandre A. P.
4 Shoghi, Ahmad
4 Sprott, Julien Clinton
4 Wang, Haijun
3 Bella, Giovanni
3 Bi, Qinsheng
3 Domínguez-Moreno, María C.
3 Drubi, Fátima
3 Fernández-García, Soledad
3 Guo, Shangjiang
3 Kapitaniak, Tomasz
3 Krauskopf, Bernd
3 Lamb, Jeroen S. W.
3 Li, Jing
3 Li, Xianyi
3 Liao, Xiaofeng
3 Liu, Xia
3 Mokhtari, Fahimeh
3 Pizarro, Luis
3 Ponce, Enrique
3 Rocha, Ronilson
3 Serrano, Sergio E.
3 Shilnikov, Andrey L.
3 Su, Juan
3 Wang, Duo
3 Webster, Kevin N.
3 Yang, Shuangling
3 Zhang, Guangyun
2 Alonso, Diego M.
2 Blesa, Fernando
2 Bykov, V. V.
2 Chen, Guanrong
2 de Carvalho Braga, Denis
2 De Feo, Oscar
2 García, Isaac A.
2 Han, Maoan
2 Horikawa, Yo
2 Huang, Wentao
2 Kitajima, Hiroyuki
2 Knobloch, Jürgen
2 Kou, Liying
2 Lakrad, Faouzi
2 Liu, Junli
2 Liu, Xuanliang
2 Marwan, Muhammad
2 Mattana, Paolo
2 Maza, Susanna
2 Meddour, Lotfi
2 Medrano-T, Rene Orlando
2 Meijer, Hil G. E.
2 Mello, Luis Fernando O.
2 Mu, Chunlai
2 Osinga, Hinke Maria
2 Páez Chávez, Joseph Nikolai
2 Porter, Jeff
2 Pusuluri, Krishna
2 Qu, Jingjia
2 Riaza, Ricardo
2 Robbio, Federico I.
2 Sanders, Jan A.
2 Shafer, Douglas S.
2 Teixeira, Marco Antonio
2 Xu, Yancong
2 Yu, Pei
2 Zhang, Tonghua
1 Achouri, Houssem
1 Afsharnejad, Zahra
1 Ahmad, Salman
1 Al-Hdaibat, Bashir
1 Al Saadi, Fahad
1 Alrihieli, Haifaa F.
1 Aouiti, Chaouki
1 Aqeel, Muhammad
1 Astakhov, Vladimir V.
1 Atencia, Miguel A.
1 Bao, Bocheng
1 Bao, Han
1 Barboza, Ruy
...and 290 more Authors
all top 5

Cited in 67 Serials

65 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
22 Physica D
20 Nonlinear Dynamics
14 Chaos, Solitons and Fractals
11 Chaos
9 Journal of Differential Equations
9 Communications in Nonlinear Science and Numerical Simulation
6 Physics Letters. A
6 Qualitative Theory of Dynamical Systems
5 Applied Mathematics and Computation
5 Dynamics and Stability of Systems
5 SIAM Journal on Applied Dynamical Systems
4 Journal of Mathematical Analysis and Applications
3 Mathematical Methods in the Applied Sciences
3 Applied Mathematics Letters
3 Abstract and Applied Analysis
3 Nonlinear Analysis. Real World Applications
2 Computers & Mathematics with Applications
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Journal of Computational and Applied Mathematics
2 Mathematics and Computers in Simulation
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Systems & Control Letters
2 Applied Mathematics and Mechanics. (English Edition)
2 Journal of Dynamics and Differential Equations
2 Journal of Nonlinear Science
2 Journal of Difference Equations and Applications
2 Journal of Mathematical Chemistry
2 Dynamical Systems
2 Journal of Systems Science and Complexity
2 Advances in Difference Equations
2 Journal of Applied Analysis and Computation
1 Communications in Mathematical Physics
1 Journal of Statistical Physics
1 Nonlinearity
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Automatica
1 Numerische Mathematik
1 Theoretical Population Biology
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Mathematical and Computer Modelling
1 Neural Computation
1 Economics Letters
1 Applied Mathematical Modelling
1 Computational and Applied Mathematics
1 Bulletin des Sciences Mathématiques
1 Mathematical Problems in Engineering
1 Soft Computing
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Discrete Dynamics in Nature and Society
1 New Journal of Physics
1 Acta Mathematica Sinica. English Series
1 Communications in Contemporary Mathematics
1 Nonlinear Analysis. Modelling and Control
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms
1 Discrete and Continuous Dynamical Systems. Series B
1 Journal of Applied Mathematics
1 Nonlinear Dynamics and Systems Theory
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Journal of Dynamical Systems and Geometric Theories
1 Journal of Statistical Mechanics: Theory and Experiment
1 Mathematical Biosciences and Engineering
1 Advances in Mathematical Physics
1 International Journal of Applied and Computational Mathematics
1 AIMS Mathematics

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