Algaba-Durán, Antonio;Domínguez-Moreno, Mª De La Cinta;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
A double-zero bifurcation in a Lorenz-like system. Nonlinear Dynamics. 2024. Vol: 112. Pág. 2305-2330. 10.1007/s11071-023-09130-1.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
Study of a homoclinic canard explosion from a degenerate center. Applied Mathematics Letters. 2022. Vol: 132. Pág. 108203-1-108203-7. 10.1016/j.aml.2022.108203.
Algaba-Durán, Antonio;Domínguez-Moreno, Mª De La Cinta;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system. Communications in Nonlinear Science & Numerical Simulation. 2022. Vol: 111. Pág. 106482-1-106482-23. 10.1016/j.cnsns.2022.106482.
Qin, Bo-wei;Chung, Kowk_wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
High-Order Approximation of Heteroclinic Bifurcations in Truncated 2D-Normal Forms for the Generic Cases of Hopf-Zero and Nonresonant Double Hopf Sing. SIAM Journal on Applied Dynamical Systems. 2021. Vol: 20. Núm: 1. Pág. 403-437. 10.1137/20M1325101.
Qin, Bo-wei;Chung, Kowk-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
Asymptotic expansions for a degenerate canard explosion. Physica D: Nonlinear Phenomena. 2021. Vol: 418. Pág. 132841-1-132841-12. 10.1016/j.physd.2020.132841.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
Analytical approximation of cuspidal loops using a nonlinear time transformation method. Applied Mathematics and Computation. 2020. Vol: 373. Pág. 125042-1-125042-16. 10.1016/j.amc.2020.125042.
Algaba-Durán, Antonio;Chung, Kwok-wai;Qin, Bo-wei;Rodríguez-Luis, Alejandro José:
Analytical approximation of the canard explosion in a van der Pol system with the nonlinear time transformation method. Physica D: Nonlinear Phenomena. 2020. Vol: 406. Pág. 132384-1-132384-9. 10.1016/j.physd.2020.132384.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
High-Order Analysis of Global Bifurcations in a Codimension-Three Takens-Bogdanov Singularity in Reversible Systems. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2020. Vol: 30. Pág. 2050017-1-2050017-18. 10.1142/S0218127420500170.
Algaba-Durán, Antonio;Chung, Kwok-wai;Qin, Bo-wei;Rodríguez-Luis, Alejandro José:
Computation of all the coefficients for the global connections in the Z2-symmetric Takens-Bogdanov normal forms. Communications in Nonlinear Science & Numerical Simulation. 2020. Vol: 81. Pág. 105012-1-105012-16. 10.1016/j.cnsns.2019.105012.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
High-order study of the canard explosion in an aircraft ground dynamics model. Nonlinear Dynamics. 2020. Vol: 100. Pág. 1079-1090. 10.1007/s11071-020-05575-w.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
High-Order Analysis of Canard Explosion in the Brusselator Equations. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2020. Vol: 30. Pág. 2050078-1-2050078-10. 10.1142/S0218127420500789.
Qin, Bo-wei;Chung, Kwok-wai;Algaba-Durán, Antonio;Rodríguez-Luis, Alejandro José:
Asymptotic expansions for a family of non-generic canards using parametric representation. Applied Mathematics Letters. 2020. Vol: 106. Pág. 106355-1-106355-7. 10.1016/j.aml.2020.106355.
Algaba-Durán, Antonio;Domínguez-Moreno, Mª De La Cinta;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Study of a simple 3D quadratic system with homoclinic flip bifurcations of inward twist case C_in. Communications in Nonlinear Science & Numerical Simulation. 2019. Vol: 77. Pág. 324-337. 10.1016/j.cnsns.2019.05.005.
Algaba-Durán, Antonio;Chung, Kwok-wai;Qin, Bo-wei;Rodríguez-Luis, Alejandro José:
A nonlinear time transformation method to compute all the coefficients for the homoclinic bifurcation in the quadratic Takens-Bogdanov normal form. Nonlinear Dynamics. 2019. Vol: 97. Pág. 979-990. 10.1007/s11071-019-05025-2.
Algaba-Durán, Antonio;Chung, Kwok-wai;Qin, Bo-wei;Rodríguez-Luis, Alejandro José:
Revisiting the analysis of a codimension-three Takens-Bogdanov bifurcation in planar reversible systems. Nonlinear Dynamics. 2019. Vol: 96. Pág. 2567-2580. 10.1007/s11071-019-04941-7.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Qin, Bo-wei;Rodríguez-Luis, Alejandro José:
Study of a dynamical system with a strange attractor and invariant tori. Physics Letters A. 2019. Vol: 383. Pág. 1441-1449. 10.1016/j.physleta.2019.01.066.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Shilnikov chaos and Hopf bifurcation in three-dimensional differential system". Optik. 2018. Vol: 155. Pág. 251-256. 10.1016/j.ijleo.2017.11.018.
Qin, Bo-wei;Chung, Kwok-wai;Rodríguez-Luis, Alejandro José;Belhaq, Mohamed:
Homoclinic-doubling and homoclinic-gluing bifurcations in the Takens-Bogdanov normal form with D4 symmetry. Chaos. 2018. Vol: 28. Núm: 9. Pág. 093107-1-093107-17. http://dx.doi.org/10.1063/1.5030692.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Asymptotically stable equilibrium points in new chaotic systems". Nova Scientia. 2017. Vol: 9. Núm: 19. Pág. 902-905. 10.21640/ns.v9i19.1114.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "Study on the reliable computation time of the numerical model using the sliding temporal correlation method". Theoretical and Applied Climatology. 2016. Vol: 126. Núm: 3-4. Pág. 797-799. 10.1007/s00704-015-1608-6.
Algaba-Durán, Antonio;Domínguez-Moreno, Mª De La Cinta;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Takens-Bogdanov bifurcations of equilibria and periodic orbits in the Lorenz system. Communications in Nonlinear Science & Numerical Simulation. 2016. Vol: 30. Núm: 1-3. Pág. 328-343. http://dx.doi.org/10.1016/j.cnsns.2015.06.034.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Superluminal periodic orbits in the Lorenz system. Communications in Nonlinear Science & Numerical Simulation. 2016. Vol: 39. Pág. 220-232. http://dx.doi.org/10.1016/j.cnsns.2016.03.004.
Algaba-Durán, Antonio;Gamero-Gutiérrez, Estanislao;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Resonances of periodic orbits in the Lorenz system. Nonlinear Dynamics. 2016. Vol: 84. Núm: 4. Pág. 2111-2136. 10.1007/s11071-016-2632-5.
Algaba-Durán, Antonio;Domínguez-Moreno, Mª De La Cinta;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Study of the Hopf bifurcation in the Lorenz, Chen and Lü systems. Nonlinear Dynamics. 2015. Vol: 79. Núm: 2. Pág. 885-902. 10.1007/s11071-014-1709-2.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
An exact homoclinic orbit and its connection with the Rossler system. Physics Letters A. 2015. Vol: 379. Núm: 16-17. Pág. 1114-1121. http://dx.doi.org/10.1016/j.physleta.2015.02.017.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Analysis of the T-point-Hopf bifurcation in the Lorenz system. Communications in Nonlinear Science & Numerical Simulation. 2015. Vol: 22. Núm: 1-3. Pág. 676-691. 10.1016/j.cnsns.2014.09.025.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Invariant algebraic surfaces of the generalized Lorenz system". Zeitschrift für Angewandte Mathematik und Physik. 2015. Vol: 66. Núm: 3. Pág. 1295-1297. 10.1007/s00033-014-0420-y.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "The Chen system revisited". Dynamics of Continuous, Discrete and Impulsive Systems Series B: Applications & Algorithms. 2014. Vol: 21. Núm: 4-5. Pág. 275-280.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on ``Existence of heteroclinic and homoclinic orbits in two different chaotic dynamical systems. Applied Mathematics and Computation. 2014. Vol: 244. Pág. 49-56. 10.1016/j.amc.2014.06.085.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Centers on center manifolds in the Lorenz, Chen and Lü systems. Communications in Nonlinear Science & Numerical Simulation. 2014. Vol: 19. Núm: 4. Pág. 772-775. 10.1016/j.cnsns.2013.08.003.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on `Global dynamics of the generalized Lorenz systems having invariant algebraic surfaces'. Physica D: Nonlinear Phenomena. 2014. Vol: 266. Pág. 80-82. 10.1016/j.physd.2013.06.008.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "A constructive proof on the existence of globally exponentially attractive set and positive invariant set of general Lorenz family". Communications in Nonlinear Science & Numerical Simulation. 2014. Vol: 19. Núm: 3. Pág. 758-761. 10.1016/j.cnsns.2013.07.022.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Dynamics of the general Lorenz family" by Y. Liu and W. Pang. Nonlinear Dynamics. 2014. Vol: 76. Núm: 1. Pág. 887-891. 10.1007/s11071-013-1142-y.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
On Darboux polynomials and rational first integrals of the generalized Lorenz system. Bulletin des Sciences Mathématiques. 2014. Vol: 138. Núm: 3. Pág. 317-322. 10.1016/j.bulsci.2013.03.002.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Chen's attractor exists if Lorenz repulsor exists: The Chen system is a special case of the Lorenz system. Chaos. 2013. Vol: 23. Núm: 3. Pág. 033108-1-033108-6. 10.1063/1.4813227.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on 'Šilnikov-type orbits of Lorenz-family systems' [Physica A 375 (2007) 438-446]. Physica A: Statistical Mechanics and its Applications. 2013. Vol: 392. Núm: 19. Pág. 4252-4257. 10.1016/j.physa.2013.05.030.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
On Shil'nikov Analysis of Homoclinic and Heteroclinic Orbits of the T System. Journal of Computational and Nonlinear Dynamics. 2013. Vol: 8. Núm: 2. Pág. 027001-1-027001-4. 10.1115/1.4006788.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on the paper "Chaotic motions of a two-dimensional airfoil with cubic nonlinearity in supersonic flow". Aerospace Science and Technology. 2013. Vol: 28. Núm: 1. Pág. 431-434. 10.1016/j.ast.2012.12.008.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on 'Estimating the ultimate bound and positively invariant set for a synchronous motor and its application in chaos synchronization' [Chaos, S. Chaos, Solitons & Fractals. 2013. Vol: 54. Pág. 159-161. 10.1016/j.chaos.2013.05.014.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
The Lü system is a particular case of the Lorenz system. Physics Letters A. 2013. Vol: 377. Núm: 39. Pág. 2771-2776. 10.1016/j.physleta.2013.08.034.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Non-existence of Shilnikov chaos in continuous-time systems". Applied Mathematics and Mechanics. 2013. Vol: 34. Núm: 9. Pág. 1175-1176. 10.1007/s10483-013-1736-7.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Rebuttal of "Existence of attractor and control of a 3D differential system'' by Z. Wang.. Nonlinear Dynamics. 2012. Vol: 69. Núm: 4. Pág. 2289-2291. 10.1007/s11071-012-0407-1.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Analysis of a Belyakov homoclinic connection with Z2-symmetry. Nonlinear Dynamics. 2012. Vol: 69. Núm: 1-2. Pág. 519-529. 10.1007/s11071-011-0283-0.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "Stability and chaos of a damped satellite partially filled with liquid"[Acta Astronautica 65 (2009) 1628-1638]. Acta Astronautica. 2012. Vol: 80. Pág. 36-39. 10.1016/j.actaastro.2012.05.018.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "Heteroclinic orbits in Chen circuit with time delay'' [Commun. Nonlinear Sci. Numer. Simulat. 15 (2010) 3058-3066]. Communications in Nonlinear Science & Numerical Simulation. 2012. Vol: 17. Núm: 6. Pág. 2708-2710. 10.1016/j.cnsns.2011.10.011.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Homoclinic interactions near a triple-zero degeneracy in Chua's equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2012. Vol: 22. Núm: 6. Pág. 1250129-1-1250129-16. 10.1142/S0218127412501295.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comments on "Analysis and application of a novel three-dimensional energy-saving and emission-reduction dynamic evolution system" [Energy 40 (2012) 29. Energy. 2012. Vol: 47. Núm: 1. Pág. 630-633. 10.1016/j.energy.2012.07.033.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "Existence of heteroclinic orbits of the Shil'nikov type in a 3D quadratic autonomous chaotic system'' [J. Math. Anal. Appl. 315 (2006) 106. Journal of Mathematical Analysis and Applications. 2012. Vol: 392. Núm: 1. Pág. 99-101. 10.1016/j.jmaa.2012.01.040.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Structure of saddle-node and cusp bifurcations of periodic orbits near a non-transversal T-point. Nonlinear Dynamics. 2011. Vol: 63. Núm: 3. Pág. 455-476. 10.1007/s11071-010-9815-2.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Fernández-Sánchez, Fernando;Rodríguez-Luis, Alejandro José:
Hopf bifurcations and their degeneracies in Chua's equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2011. Vol: 21. Núm: 9. Pág. 2749-2763. 10.1142/S0218127411030106.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Comment on "Sil'nikov chaos of the Liu system" [Chaos 18, 013113 (2008)]. Chaos. 2011. Vol: 21. Núm: 4. Pág. 048101-1-048101-3. 10.1063/1.3657921.
Algaba-Durán, Antonio;Fernández-Sánchez, Fernando;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
Analysis of the T-point-Hopf bifurcation with Z2-symmetry. Application to Chua's equation. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2010. Vol: 20. Núm: 4. Pág. 979-993. 10.1142/S0218127410026265.
Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José:
ANALYSIS OF THE T-POINT-HOPF BIFURCATION. Physica D: Nonlinear Phenomena. 2008. Vol: 237. Núm: 3. Pág. 292-305.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
RESONANCES OF PERIODIC ORBITS IN RO?SSLER SYSTEM IN PRESENCE OF A TRIPLE-ZERO BIFURCATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2007. Vol: 17. Núm: 6. Pág. 1997-2008.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Fernandez-Sanchez, Fernando;Rodríguez-Luis, Alejandro José:
OPEN-TO-CLOSED CURVES OF SADDLE-NODE BIFURCATIONS OF PERIODIC ORBITS NEAR A NON-TRANSVERSAL T--POINT IN CHUA'S EQUATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2006. Vol: 16. Núm: 9. Pág. 2637-2647.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
HOMOCLINIC CONNECTIONS NEAR A BELYAKOV POINT IN CHUA'S EQUATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2005. Vol: 15. Núm: 4. Pág. 1239-1252.
Algaba-Durán, Antonio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
A BIFURCATION ANALYSIS OF A SIMPLE ELECTRONIC CIRCUIT. Communications in Nonlinear Science & Numerical Simulation. 2005. Vol: 10. Núm: 2. Pág. 169-178.
Freire-Macias, Emilio;Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José;Fernandez-Sanchez, Fernando:
MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2005. Vol: 15. Núm: 3. Pág. 905-947.
Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José:
BI-SPIRALING HOMOCLINIC CURVES AROUND A T-POINT IN CHUA'S EQUATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2004. Vol: 14. Núm: 5. Pág. 1789-1793.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
SOME RESULTS ON CHUA'S EQUATION NEAR A TRIPLE-ZERO LINEAR DEGENERACY. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2003. Vol: 13. Núm: 3. Pág. 583-608.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Fernandez-Sanchez, Fernando;Rodríguez-Luis, Alejandro José:
CLOSED CURVES OF GLOBAL BIFURCATIONS IN CHUA'S EQUATION: A MECHANISM FOR THEIR FORMATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2003. Vol: 13. Núm: 3. Pág. 609-616.
Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José:
A MODEL FOR THE ANALYSIS OF THE DYNAMICAL CONSEQUENCES OF A NONTRANSVERSAL INTERSECTION OF THE TWO-DIMENSIONAL MANIFOLDS INVOLVED IN A T-POINT. Physics Letters A. 2003. Vol: 320. Núm: 2-3. Pág. 169-179.
Doedel-, Eusebius;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
AN ANALYTICAL AND NUMERICAL STUDY OF A MODIFIED VAN DER POL OSCILLATOR. Journal of Sound and Vibration. 2002. Vol: 256. Núm: 4. Pág. 755-771.
Algaba-Durán, Antonio;Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
NONTRANSVERSAL CURVES OF T-POINTS: A SOURCE OF CLOSED CURVES OF GLOBAL BIFURCATIONS. Physics Letters A. 2002. Vol: 303. Núm: 2-3. Pág. 204-211.
Algaba-Durán, Antonio;Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
OSCILLATION-SLIDING IN A MODIFIED VAN DER POL-DUFFING ELECTRONIC OSCILLATOR. Journal of Sound and Vibration. 2002. Vol: 249. Núm: 5. Pág. 899-907.
Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José;Algaba-Durán, Antonio:
A NOTE ON THE TRIPLE-ZERO LINEAR DEGENERACY: NORMAL FORMS, DYNAMICAL AND BIFURCATION BEHAVIORS OF AN UNFOLDING. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2002. Vol: 12. Núm: 12. Pág. 2799-2820.
Fernandez-Sanchez, Fernando;Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José:
T-POINTS IN A Z(2)-SYMMETRIC ELECTRONIC OSCILLATOR. (I) ANALYSIS. Nonlinear Dynamics. 2002. Vol: 28. Núm: 1. Pág. 53-69.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
TAKENS-BOGDANOV BIFURCATIONS OF PERIODIC ORBITS AND ARNOLD'S TONGUES IN A THREE-DIMENSIONAL ELECTRONIC MODEL. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2001. Vol: 11. Núm: 2. Pág. 513-531.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
A TAME DEGENERATE HOPF-PITCHFORK BIFURCATION IN A MODIFIED VAN DER POL-DUFFING OSCILLATOR. Nonlinear Dynamics. 2000. Vol: 22. Núm: 3. Pág. 249-269.
Belhaq-, Mohamed;Houssni-,Mohamed;Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José:
ANALYTICAL PREDICTION OF THE TWO FIRST PERIOD-DOUBLINGS IN A THREE-DIMENSIONAL SYSTEM. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000. Vol: 10. Núm: 6. Pág. 1497-1508.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
ON THE HOPF-PITCHFORK BIFURCATION IN THE CHUA'S EQUATION. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 2000. Vol: 10. Núm: 2. Pág. 291-305.
Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José;Freire-Macias, Emilio:
NUMERICAL CONTINUATION OF HOMOCLINIC ORBITS TO NON-HYPERBOLIC EQUILIBRIA IN PLANAR SYSTEMS. Nonlinear Dynamics. 2000. Vol: 23. Núm: 4. Pág. 353-375.
Belhaq-, Mohamed;Freire-Macias, Emilio;Houssni-,Mohamed;Rodríguez-Luis, Alejandro José:
ASYMPTOTICS OF HOMOCLINIC BIFURCATION IN A THREE-DIMENSIONAL SYSTEM. Nonlinear Dynamics. 2000. Vol: 21. Núm: 2. Pág. 135-155.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
ON THE TAKENS-BOGDANOV BIFURCATION IN THE CHUA'S EQUATION. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 1999. Vol: E82-A. Núm: 9. Pág. 1722-1728.
Belhaq-, Mohamed;Freire-Macias, Emilio;Houssni-,Mohamed;Rodríguez-Luis, Alejandro José:
SECOND PERIOD-DOUBLING IN A THREE-DIMENSIONAL SYSTEM. Mechanics Research Communications. 1999. Vol: 26. Núm: 2. Pág. 123-128.
Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José;Freire-Macias, Emilio:
NUMERICAL CONTINUATION OF DEGENERATE HOMOCLINIC ORBITS IN PLANAR SYSTEMS. IMA Journal of Numerical Analysis. 1999. Vol: 19. Núm: 1. Pág. 51-75.
Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José;Freire-Macias, Emilio:
ANALYTICAL AND NUMERICAL STUDY OF A FOUR-PARAMETER FAMILY OF MECHANICAL OSCILLATORS. Mechanics Research Communications. 1999. Vol: 26. Núm: 3. Pág. 253-259.
Gamero-Gutiérrez, Estanislao;Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José;Ponce-Nuñez, Enrique;Algaba-Durán, Antonio:
HYPERNORMAL FORM CALCULATION FOR TRIPLE-ZERO DEGENERACIES. Bulletin of the Belgian Mathematical Society Simon Stevin. 1999. Vol: 6. Núm: 3. Pág. 357-368.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
ON A CODIMENSION-THREE UNFOLDING OF THE INTERACTION OF DEGENERATE HOPF AND PITCHFORK BIFURCATIONS. International Journal of Bifurcation and Chaos in Applied Sciences and Engineering. 1999. Vol: 9. Núm: 7. Pág. 1333-1362.
Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
FIRST-ORDER APPROXIMATION FOR CANARD PERIODIC ORBITS IN A VAN DER POL ELECTRONIC OSCILLATOR. Applied Mathematics Letters. 1999. Vol: 12. Núm: 2. Pág. 73-78.
Algaba-Durán, Antonio;Merino-Morlesín, Manuel;Rodríguez-Luis, Alejandro José:
EVOLUTION OF ARNOLD'S TONGUES IN A Z/SUB 2/-SYMMETRIC ELECTRONIC CIRCUIT. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences. 1999. Vol: E82-A. Núm: 9. Pág. 1714-1721.
Pizarro-Solano, Luis;Rodríguez-Luis, Alejandro José;Freire-Macias, Emilio:
EXAMPLES OF NON-DEGENERATE AND DEGENERATE CUSPIDAL LOOPS IN PLANAR SYSTEMS. Dynamics And Stability Of Systems (Print). 1999. Vol: 14. Núm: 2. Pág. 129-161.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
A THREE-PARAMETER STUDY OF A DEGENERATE CASE OF THE HOPF- PITCHFORK BIFURCATION. Nonlinearity. 1999. Vol: 12. Núm: 4. Pág. 1177-1206.
Champneys-,Alan;Rodríguez-Luis, Alejandro José:
THE NON-TRANSVERSE SHIL'NIKOV-HOPF BIFURCATION: UNCOUPLING OF HOMOCLINIC ORBITS AND HOMOCLINIC TANGENCIES. Physica D: Nonlinear Phenomena. 1999. Vol: 128. Núm: 2-4. Pág. 130-158.
Algaba-Durán, Antonio;Freire-Macias, Emilio;Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José:
ANALYSIS OF HOPF AND TAKENS-BOGDANOV BIFURCATIONS IN A MODIFIED VAN DER POL-DUFFING OSCILLATOR. Nonlinear Dynamics. 1998. Vol: 16. Núm: 4. Pág. 369-404.
Gamero-Gutiérrez, Estanislao;Rodríguez-Luis, Alejandro José;Freire-Macias, Emilio:
STUDY OF A DEGENERATE BOGDANOV-TAKENS BIFURCATION IN A FAMILY OF MECHANICAL OSCILLATORS. Mechanics Research Communications. 1998. Vol: 25. Núm: 3. Pág. 287-297.
Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José;Fernandez-Sanchez, Fernando:
ISOLAS, CUSPS AND GLOBAL BIFURCATIONS IN AN ELECTRONIC OSCILLATOR. Dynamics And Stability Of Systems (Print). 1997. Vol: 12. Núm: 4. Pág. 319-336.
Freire-Macias, Emilio;Rodríguez-Luis, Alejandro José;Gamero-Gutiérrez, Estanislao;Ponce-Nuñez, Enrique:
A CASE-STUDY FOR HOMOCLINIC CHAOS IN AN AUTONOMOUS ELECTRONIC-CIRCUIT - A TRIP FROM TAKENS-BOGDANOV TO HOPF-SILNIKOV. Physica D: Nonlinear Phenomena. 1993. Vol: 62. Núm: 1-4. Pág. 230-253.
Rodríguez-Luis, Alejandro José;Castellanos-Mata, Antonio;Richardson-,Anthony T.:
STATIONARY INSTABILITIES IN A DIELECTRIC LIQUID LAYER SUBJECTED TO AN ARBITRARY UNIPOLAR INJECTION AND AN ADVERSE THERMAL GRADIENT. Journal of Physics D: Applied Physics. 1986. Vol: 19. Pág. 2115-2122.