instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Emilio Freire Macías
Miembro ordinario
efrem@us.es
Situación profesional: Catedrático
Despacho: ETSI, Camino de los Descubrimientos
Departamento: Matemática Aplicada II
Teléfono: 954481183

Proyectos de la JJAA

P12-FQM-1658 Formas Normales, Complejidad y Bifurcaciones de Sistemas Dinámicos Miembro del Proyecto
P08-FQM-03770 Sistemas Dinámicos: Complejidad y Bifurcaciones Responsable
EXC/2005/FQM-872 Complejidad dinámica y bifurcaciones en sistemas de evolución temporal Responsable

Proyectos del Plan Nacional I+D+i

MTM2017-87915-C2-1-P Singularidades en sistemas dinámicos: el papel de la regularidad Miembro del Proyecto
MTM2015-65608-P Análisis de Bifurcaciones en Sistemas Dinámicos: Aplicaciones Miembro del Proyecto
MTM2014-56272-C2-1-P Comportamientos de bifurcación en sistemas dinámicos diferenciables y no diferenciables Miembro del Proyecto
MTM2012-31821 Bifurcaciones y Complejidad Dinámica en Sistemas de Evolución Temporal Miembro del Proyecto
MTM2010-20907-C02-01 Comportamientos Globales en Sistemas Autónomos Tridimensionales Miembro del Proyecto
MTM2009-07849 Dinámica y bifurcaciones en sistemas de evolución temporal Miembro del Proyecto
MTM2007-64193 Formas Normales y Despliegues de Sistemas Dinámicos Autónomos Miembro del Proyecto
MTM2006-00847 Problemas de bifurcación en sistemas disipativos y conservativos Miembro del Proyecto

Grupo PAIDI - Plan Andaluz de Investigación, Desarrollo e Innovación

TIC130 Investigación en Sistemas Dinámicos en Ingeniería Responsable


Listado de Artículos (29)

  • Cristiano, R., Pagano, D.J., Freire, E., Ponce, E.. Revisiting the teixeira singularity bifurcation analysis: Application to the control of power converters. International Journal of Bifurcation and Chaos (2018)
  • Ponce, E., Ros, J., Freire, E., Amador, A.. Unravelling the dynamical richness of 3D canonical memristor oscillators. Microelectronic Engineering (2017)
  • Marquez, A., Leon, J.I., Vazquez, S., Portillo, R., Franquelo, L.G., Freire, E., Kouro, S.. Variable-Angle Phase-Shifted PWM for Multilevel Three-Cell Cascaded H-Bridge Converters. IEEE Transactions on Industrial Electronics (2017)
  • A. Algaba, E. Freire, E. Gamero, C. García. A bifurcation analysis of planar nilpotent reversible systems. Nonlinear Dynamics (2017)
  • Freire, E., Ordóñez, M., Ponce, E.. Limit cycle bifurcation from a persistent center at infinity in 3D piecewise linear systems with two zones. Trends in Mathematics (2017)
  • Amador, A., Freire, E., Ponce, E., Ros, J.. On Discontinuous Piecewise Linear Models for Memristor Oscillators. International Journal of Bifurcation and Chaos (2017)
  • Freire, Emilio; Ponce, Enrique; Torres, Francisco. On the critical crossing cycle bifurcation in planar Filippov systems. Journal of Differential Equations (2015)
  • Carmona, Victoriano; Freire, Emilio; Fernández-García, Soledad. Periodic orbits and invariant cones in three-dimensional piecewise linear systems. Discrete and Continuous Dynamical Systems (2015)
  • Algaba, A.; Freire, E.; Gamero, E.; Rodríguez-Luis, A. J. An exact homoclinic orbit and its connection with the Rössler system. Physics Letters A (2015)
  • Galán-Vioque, J.; Almaraz, F.J.M.; Macías, E.F. Continuation of periodic orbits in symmetric Hamiltonian and conservative systems. European Physical Journal-Special Topics (2014)
  • Freire, Emilio; Ponce, Enrique; Torres, Francisco. A general mechanism to generate three limit cycles in planar Filippov systems with two zones. Nonlinear Dynamics (2014)
  • Freire, Emilio; Ponce, Enrique; Torres, Francisco. The discontinuous matching of two planar linear foci can have three nested crossing limit cycles. Publicacions Matemàtiques (2014)
  • Carmona, Victoriano; Fernández-García, Soledad; Freire, Emilio; Torres, Francisco. Melnikov theory for a class of planar hybrid systems. Physica D-nonlinear Phenomena (2013)
  • Desroches, Mathieu; Freire, Emilio; Hogan, S. John; Ponce, Enrique; Thota, Phanikrishna. Canards in piecewise-linear systems: explosions and super-explosions. Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences (2013)
  • Carmona, Victoriano; Fernández-García, Soledad; Freire, Emilio. Saddle–node bifurcation of invariant cones in 3D piecewise linear systems. Physica D-nonlinear Phenomena (2012)
  • Emilio Freire, Enrique Ponce, Francisco Torres. Canonical Discontinuous Planar Piecewise Linear Systems. Siam Journal on Applied Dynamical Systems (2012)
  • Molina-Becerra, Mónica; Galán-Vioque, Jorge; Freire, Emilio. Dynamics and bifurcations of a nonholonomic Heisenberg system. International Journal of Bifurcation and Chaos (2012)
  • Carmona, Victoriano; Fernández-García, Soledad; Freire, Emilio. Periodic orbits for perturbations of piecewise linear systems. Journal of Differential Equations (2011)
  • Algaba, A.; Freire, E.; Gamero, E.; García, C. Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems. Nonlinear Analysis-Theory Methods & Applications (2010)
  • Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla. Following a Saddle-Node of Periodic Orbits Bifurcation Curve in Chua's Circuit. International Journal of Bifurcation and Chaos (2009)
  • Victoriano Carmona Centeno, Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla, Francisco Torres Peral. Bifurcación Silla-Nodo de Conos Invariantes Via Bifurcación Foco-Centro-Ciclo Límite. SeMA Journal (2008)
  • Fernando Fernandez Sanchez, Emilio Freire Macias, Alejandro Rodriguez Luis. Analysis of the T-Point-Hopf Bifurcation. PHYSICA D-NONLINEAR PHENOMENA (2008)
  • Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla. Bistability and Hysteresis in Symmetric 3d Piecewise Linear Oscillators With Three Zones. International Journal of Bifurcation and Chaos (2008)
  • Antonio Algaba Durán, Emilio Freire Macias, Estanislao Gamero Gutierrez, Alejandro Rodriguez Luis. Resonances of Periodic Orbits in RöSsler System in Presence of a Triple-Zero Bifurcation. International Journal of Bifurcation and Chaos (2007)
  • Emilio Freire, Armengol Gasull, Antoni Guillamon. Limit cycles and Lie symmetries. BULLETIN DES SCIENCES MATHEMATIQUES (2007)
  • Francisco Javier Muñoz Almaraz, Emilio Freire Macias, Jorge Galan Vioque. Bifurcation Behavior of the Furuta Pendulum. International Journal of Bifurcation and Chaos (2007)
  • Francisco Javier Muñoz Almaraz, Emilio Freire Macias, Jorge Galan Vioque, Andre Vanderbauwhede. Continuation of Normal Doubly Symmetric Orbits in Conservative Reversible Systems. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY (2007)
  • Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla. A Biparametric Bifurcation in 3d Continuous Piecewise Linear Systems With Two Zones: Application to Chua's Circuit. International Journal of Bifurcation and Chaos (2007)
  • Freire, Emilio; Rodríguez-Luis, Alejandro J.. Numerical bifurcation analysis of electronic circuits. Understanding Complex Systems (2007)

Libros y capítulos (4)

  • Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco.. Two Linear Foci Suffice to Get Three Limit Cycles. (2013)
  • Freire-Macias, Emilio; Ponce-Nuñez, Enrique; Torres-Peral, Francisco.. Planar Filippov Systems with Maximal Crossing Set and Piecewise Linear Focus Dynamics. Springer Heidelberg (2013)
  • Carmona Centeno, Victoriano; Fernandez Garcia, Soledad; Freire Macias, Emilio; Torres Peral, Francisco. Melnikov Theory for Planar Hybrid Systems: Invariant Cones in Piecewise Linear Systems. (2013)
  • Carmona Centeno, Victoriano; Ponce Núñez, Enrique; Freire Macias, Emilio; Torres Peral, Francisco. Stability Issues in Continuous Piecewise Linear Systems. (2010)

Aportaciones a congresos (20)

  • Freire-Macias, Emilio; Ponce-Nuñez, Enrique; Torres-Peral, Francisco. A General Mechanism to Generate Three Limit Cycles in Planar Filippov Systems with two zones. VI Workshop on Dynamical Systems (2014)
  • Benadero-García-Morato, Luis; Freire-Macias, Emilio; Ponce-Nuñez, Enrique; Torres-Peral, Francisco. Resonances in an Area Preserving Continuous Piecewise Linear Map. New Perspectives in Discrete Dynamical Systems (2014)
  • Ponce-Nuñez, Enrique; Freire-Macias, Emilio; Rivera, Andres Mauricio; Torres-Peral, Francisco. Simultaneous local and global bifurcations in planar piecewise linear Filippov systems. Advances in applies nonlinear mathematics (2014)
  • Ponce-Nuñez, Enrique; Freire-Macias, Emilio; Ordoñez-Sanchez, Manuel. More limit cycles from a piecewise linear Hopf-pitchfork bifurcation. IEEE International Meeting on Analysis and Applications of Nonsmooth Systems (2014)
  • Ponce-Nuñez, Enrique; Freire-Macias, Emilio; Torres-Peral, Francisco. On periodic orbits of piecewise linear systems with two zones. 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2014)
  • Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco.. Two Linear Foci Suffice to Get Three Limit Cycles. SIAM Conference on Applications of Dynamical Systems (2013)
  • Carmona Centeno, Victoriano; Fernandez Garcia, Soledad; Freire Macias, Emilio; Torres Peral, Francisco. Melnikov Theory for Planar Hybrid Systems: Invariant Cones in Piecewise Linear Systems. SIAM Conference on Applications of Dynamical Systems (2013)
  • V. Carmona, S. Fernández-García, E. Freire, F. Torres. Teoría de Melnikov para sistemas híbridos planos. Aplicaciones. NoLineal 2012 (2012)
  • Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco.. Limit Cycles in Discontinuous Planar Piecewise Linear Systems. Dynamical Systems: 100 years after Poincaré (2012)
  • S. Fernández-García, V. Carmona, E. Freire. Periodic orbits and invariant cones in piecewise linear systems. Dynamical Systems: 100 years after Poincaré (2012)
  • Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco.. Sistemas Planos de Filippov: Algunos Resultados recientes. Nolineal 2012 (2012)
  • V. Carmona, S. Fernández-García, E. Freire, F. Torres. Teoría de Melnikov para sistemas híbridos planos. Aplicaciones. NoLineal 2012 (2012)
  • S. Fernández-García, V. Carmona, E. Freire. Invariant Cones in 3D Piecewise Linear Systems via Melnikov Function. Equadiff 2011 (2011)
  • S. Fernández-García, V. Carmona, E. Freire. Saddle-Node Bifurcation of Invariant Cones in 3D Piecewise Linear Systems. (2011)
  • S. Fernández-García, V. Carmona, E. Freire. Periodic Orbits for perturbations of piecewise linear systems. (2010)
  • S. Fernández-García, V. Carmona, E. Freire. Periodic Orbits in Piecewise Linear Dynamical Systems. I Encuentro Nacional de Jóvenes Investigadores en Matemáticas (2010)
  • Carmona Centeno, Victoriano; Ponce Núñez, Enrique; Freire Macias, Emilio; Torres Peral, Francisco. Stability Issues in Continuous Piecewise Linear Systems. XI Conference Stability and Oscillations of Nonlinear Control Systems (2010)
  • S. Fernández-García, V. Carmona, E. Freire. Bifurcación de Hopf en el Infinito Para Sistemas Lineales a Trozos Tridimensionales. NoLineal 2010 (2010)
  • S. Fernández-García, V. Carmona, E. Freire. Periodic Orbits in Perturbations of Non-Controllable Piecewise Linear Systems. XI International Conference “Stability and Oscillations of Nonlinear Control Systems” (2010)
  • S. Fernández-García, V. Carmona, E. Freire. Orbitas Periódicas en Perturbaciones de Sistemas Dinámicos Lineales a Trozos No Controlables. III Jornadas Colombinas de Sistemas Dinámicos (2009)

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Listado de Artículos (29)
Revisiting the teixeira singularity bifurcation analysis: Application to the control of power converters Cristiano, R., Pagano, D.J., Freire, E., Ponce, E., International Journal of Bifurcation and Chaos 2018 - 0
A bifurcation analysis of planar nilpotent reversible systems A. Algaba, E. Freire, E. Gamero, C. García, Nonlinear Dynamics 2017 - 0
Limit cycle bifurcation from a persistent center at infinity in 3D piecewise linear systems with two zones Freire, E., Ordóñez, M., Ponce, E., Trends in Mathematics 2017 - 0
On Discontinuous Piecewise Linear Models for Memristor Oscillators Amador, A., Freire, E., Ponce, E., Ros, J., International Journal of Bifurcation and Chaos 2017 - 1
Unravelling the dynamical richness of 3D canonical memristor oscillators Ponce, E., Ros, J., Freire, E., Amador, A., Microelectronic Engineering 2017 - 0
Variable-Angle Phase-Shifted PWM for Multilevel Three-Cell Cascaded H-Bridge Converters Marquez, A., Leon, J.I., Vazquez, S., Portillo, R., Franquelo, L.G., Freire, E., Kouro, S., IEEE Transactions on Industrial Electronics 2017 - 1
An exact homoclinic orbit and its connection with the Rössler system Algaba, A., Freire, E., Gamero, E., Rodríguez-Luis, A. J., Physics Letters A 2015 - 2
Periodic orbits and invariant cones in three-dimensional piecewise linear systems Carmona, Victoriano, Freire, Emilio, Fernández-García, Soledad, Discrete and Continuous Dynamical Systems 2015 - 1
On the critical crossing cycle bifurcation in planar Filippov systems Freire, Emilio, Ponce, Enrique, Torres, Francisco, Journal of Differential Equations 2015 - 1
The discontinuous matching of two planar linear foci can have three nested crossing limit cycles Freire, Emilio, Ponce, Enrique, Torres, Francisco, Publicacions Matemàtiques 2014 - 0
A general mechanism to generate three limit cycles in planar Filippov systems with two zones Freire, Emilio, Ponce, Enrique, Torres, Francisco, Nonlinear Dynamics 2014 - 5
Continuation of periodic orbits in symmetric Hamiltonian and conservative systems Galán-Vioque, J., Almaraz, F.J.M., Macías, E.F., European Physical Journal-Special Topics 2014 - 0
Melnikov theory for a class of planar hybrid systems Carmona, Victoriano, Fernández-García, Soledad, Freire, Emilio, Torres, Francisco, Physica D-nonlinear Phenomena 2013 - 10
Canards in piecewise-linear systems: explosions and super-explosions Desroches, Mathieu, Freire, Emilio, Hogan, S. John, Ponce, Enrique, Thota, Phanikrishna, Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2013 - 5
Canonical Discontinuous Planar Piecewise Linear Systems Emilio Freire, Enrique Ponce, Francisco Torres, Siam Journal on Applied Dynamical Systems 2012 - 17
Dynamics and bifurcations of a nonholonomic Heisenberg system Molina-Becerra, Mónica, Galán-Vioque, Jorge, Freire, Emilio, International Journal of Bifurcation and Chaos 2012 - 2
Saddle–node bifurcation of invariant cones in 3D piecewise linear systems Carmona, Victoriano, Fernández-García, Soledad, Freire, Emilio, Physica D-nonlinear Phenomena 2012 - 4
Periodic orbits for perturbations of piecewise linear systems Carmona, Victoriano, Fernández-García, Soledad, Freire, Emilio, Journal of Differential Equations 2011 - 4
Monodromy, center-focus and integrability problems for quasi-homogeneous polynomial systems Algaba, A., Freire, E., Gamero, E., García, C., Nonlinear Analysis-Theory Methods & Applications 2010 - 12
Following a Saddle-Node of Periodic Orbits Bifurcation Curve in Chua's Circuit Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla, International Journal of Bifurcation and Chaos 2009 - 2
Bifurcación Silla-Nodo de Conos Invariantes Via Bifurcación Foco-Centro-Ciclo Límite Victoriano Carmona Centeno, Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla, Francisco Torres Peral, SeMA Journal 2008 - 0
Analysis of the T-Point-Hopf Bifurcation Fernando Fernandez Sanchez, Emilio Freire Macias, Alejandro Rodriguez Luis, PHYSICA D-NONLINEAR PHENOMENA 2008 - 6
Bistability and Hysteresis in Symmetric 3d Piecewise Linear Oscillators With Three Zones Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla, International Journal of Bifurcation and Chaos 2008 - 1
Numerical bifurcation analysis of electronic circuits Freire, Emilio, Rodríguez-Luis, Alejandro J., Understanding Complex Systems 2007 - 0
Continuation of Normal Doubly Symmetric Orbits in Conservative Reversible Systems Francisco Javier Muñoz Almaraz, Emilio Freire Macias, Jorge Galan Vioque, Andre Vanderbauwhede, CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 2007 - 0
A Biparametric Bifurcation in 3d Continuous Piecewise Linear Systems With Two Zones: Application to Chua's Circuit Emilio Freire Macias, Enrique Ponce Nuñez, Francisco Javier Ros Padilla, International Journal of Bifurcation and Chaos 2007 - 0
Resonances of Periodic Orbits in RöSsler System in Presence of a Triple-Zero Bifurcation Antonio Algaba Durán, Emilio Freire Macias, Estanislao Gamero Gutierrez, Alejandro Rodriguez Luis, International Journal of Bifurcation and Chaos 2007 - 0
Limit cycles and Lie symmetries Emilio Freire, Armengol Gasull, Antoni Guillamon, BULLETIN DES SCIENCES MATHEMATIQUES 2007 - 0
Bifurcation Behavior of the Furuta Pendulum Francisco Javier Muñoz Almaraz, Emilio Freire Macias, Jorge Galan Vioque, International Journal of Bifurcation and Chaos 2007 - 0


Actividades propias

19.03.2019