Carmona-Centeno, Victoriano;Fernández-Sánchez, Fernando;Novaes, Douglas D.:
A new simple proof for Lum-Chua's conjecture. Nonlinear Analysis: Hybrid Systems. 2021. Vol: 40. 10.1016/j.nahs.2020.100992.
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.
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.
Carmona-Centeno, Victoriano;Fernández-Sánchez, Fernando;García-Medina, Elisabeth:
Including homoclinic connections and T-point heteroclinic cycles in the same global problem for a reversible family of piecewise linear systems. Applied Mathematics and Computation. 2017. Vol: 296. Pág. 33-41. https://doi.org/10.1016/j.amc.2016.10.008.
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.
Carmona-Centeno, Victoriano;Fernández-Sánchez, Fernando;García-Medina, Elisabeth;Teruel, Antonio E.:
Noose Structure and Bifurcations of Periodic Orbits in Reversible Three- Dimensional Piecewise Linear Differential Systems. Journal of Nonlinear Science. 2015. Vol: 25. Núm: 3. Pág. 1209-1224. 10.1007/s00332-015-9251-z.
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:
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:
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.
Carmona-Centeno, Victoriano;Fernández-García, Soledad;Fernández-Sánchez, Fernando;García-Medina, Elisabeth;Teruel, Antonio E.:
Noose bifurcation and crossing tangency in reversible piecewise linear systems. Nonlinearity. 2014. Vol: 27. Pág. 585-606. 10.1088/0951-7715/27/3/585.
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:
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 ``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:
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:
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:
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:
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:
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.
Carmona-Centeno, Victoriano;Fernández-García, Soledad;Fernández-Sánchez, Fernando;García-Medina, Elisabeth;Teruel, Antonio E.:
Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations. Nonlinear Analysis, Theory, Methods and Applications. 2012. Vol: 75. Núm: 15. Pág. 5866-5883. 10.1016/j.na.2012.05.027.
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;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 "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:
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;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;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:
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;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.
Carmona-Centeno, Victoriano;Fernández-Sánchez, Fernando;García-Medina, Elisabeth;Teruel-Aguilar,Antonio:
Existence of homoclinic connections in continuous piecewise linear systems. Chaos. 2010. Vol: 20. 10.1063/1.3339819.
Carmona-Centeno, Victoriano;Fernandez-Sanchez, Fernando;Teruel-Aguilar,Antonio:
EXISTENCE OF A REVERSIBLE T-POINT HETEROCLINIC CYCLE IN A PIECEWISE LINEAR VERSION OF THE MICHELSON SYSTEM. SIAM Journal on Applied Dynamical Systems. 2008. Vol: 7. Núm: 3. Pág. 1032-1048.
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;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.
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.
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.
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.
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.
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.
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.