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Ponencia
Artículo
Limit cycles from a monodromic infinity in planar piecewise linear systems
(Elsevier, 2021-04-15)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with ...
Artículo
Variable-Angle Phase-Shifted PWM for Multilevel Three-Cell Cascaded H-bridge Converters
(Institute of Electrical and Electronics Engineers (IEEE), 2017)
Multilevel cascaded H-bridge converters have become a mature technology for applications where high-power medium ac voltages are required. Normal operation of multilevel cascaded H-bridge converters assumes that all power ...
Artículo
The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
(Society for Industrial and Applied Mathematics, 2005)
The birth of limit cycles in 3D (three-dimensional) piecewise linear systems for the relevant case of symmetrical oscillators is considered. A technique already used by the authors in planar systems is extended to cope ...
Artículo
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
(Elsevier, 2020-01)
We consider continuous piecewise linear systems in R3 with two zones under the assumption of having a linear center in the invariant manifold of the point at infinity. A specific conic projection is introduced, so that it ...
Artículo
The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
(Universitat Autònoma de Barcelona, Servei de Publicacions, 2014)
The existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type and having only one equilibrium point is considered. By using an adequate ...
Ponencia
Metodología integral de aprendizaje en Teoría de Circuitos
(Universidad de Sevilla, Facultad de Ciencias de la Educación, 2011)
Se describe un trabajo de innovación educativa basado en la utilización de varias técnicas docentes que complementan a la metodología tradicional existente, para generar una metodología integral en el aprendizaje de Teoría ...
Tesis Doctoral
Tesis Doctoral
Bifurcaciones de Órbitas Periódicas y Conjuntos Invariantes en Sistemas Dinámicos Lineales a Trozos
(2012)
This year is the 100th anniversary of the death of Jules Henri Poincaré (Nancy, France, 29 April 1854-Paris, France, 17 July 1912), the founding father of Dynamical Systems theory. In mathematics, he is known as The Last ...
Tesis Doctoral