instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
imus-logo
Enrique Ponce Núñez
Miembro ordinario
eponcem@us.es
Situación profesional: Catedrático
Despacho: ETSI, Camino de los Descubrimientos
Departamento: Matemática Aplicada II
Teléfono: 954486172

Proyectos de la JJAA

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

Proyectos del Plan Nacional I+D+i

MTM2015-65608-P Análisis de Bifurcaciones en Sistemas Dinámicos: Aplicaciones Miembro del Proyecto
MTM2012-31821 Bifurcaciones y Complejidad Dinámica en Sistemas de Evolución Temporal Miembro del Proyecto
MTM2009-07849 Dinámica y bifurcaciones en sistemas de evolución temporal 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 Miembro del Proyecto


Listado de Artículos (34)

  • Ponce, E., Ros, J., Vela, E.. The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators. Nonlinear Analysis. Real World Applications (2018)
  • 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., Amador, A., Ros, J.. A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators. Nonlinear Dynamics (2018)
  • Amador, A., Freire, E., Ponce, E., Ros, J.. On Discontinuous Piecewise Linear Models for Memristor Oscillators. International Journal of Bifurcation and Chaos (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)
  • Ponce, E., Ros, J., Freire, E., Amador, A.. Unravelling the dynamical richness of 3D canonical memristor oscillators. Microelectronic Engineering (2017)
  • Benadero, L., Ponce, E., El Aroudi, A., Torres, F.. Limit cycle bifurcations in resonant LC power inverters under zero current switching strategy. Nonlinear Dynamics (2017)
  • Benadero, L., Ponce, E., El Aroudi, A., Martinez-Salamero, L.. Analysis of coexisting solutions and control of their bifurcations in a parallel LC resonant inverter. Proceedings - IEEE International Symposium on Circuits and Systems (2017)
  • Desroches, M., Guillamon, A., Ponce, E., Prohens, R., Rodrigues, S., Teruel, A.E.. Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems. SIAM Review (2016)
  • Cristiano, R., Pagano, D.J., Benadero, L., Ponce, E.. Bifurcation analysis of a DC-DC bidirectional power converter operating with constant power loads. International Journal of Bifurcation and Chaos (2016)
  • Ponce, E., Ros, J., Vela, E. Limit cycle and boundary equilibrium bifurcations in continuous planar piecewise linear systems. International Journal of Bifurcation and Chaos (2015)
  • Novaes, D.D., Ponce, E.. A simple solution to the Braga-Mello conjecture. International Journal of Bifurcation and Chaos (2015)
  • Freire, Emilio; Ponce, Enrique; Torres, Francisco. On the critical crossing cycle bifurcation in planar Filippov systems. Journal of Differential Equations (2015)
  • Luis Benadero, Rony Cristiano, Daniel J. Pagano and Enrique Ponce. Nonlinear Analysis of Interconnected Power Converters: A Case Study. IEEE Journal on Emerging and Selected Topics in Circuits and Systems (2015)
  • Llibre, J., Ponce, E., Valls, C.. Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry. Journal of Nonlinear Science (2015)
  • 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)
  • Ponce-Nuñez, Enrique; Ros-Padilla, Francisco Javier; Vela-Felardo, Elísabet. Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry. PHYSICA D-NONLINEAR PHENOMENA (2013)
  • Enrique Ponce-Nuñez, Francisco Javier Ros-Padilla, Elísabet Vela-Felardo. Algebraically Computable Piecewise Linear Nodal Oscillators. APPLIED MATHEMATICS AND COMPUTATION (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)
  • Llibre, Jaume; Ordóñez, Manuel; Ponce, Enrique. On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry.. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2013)
  • Emilio Freire, Enrique Ponce, Francisco Torres. Canonical Discontinuous Planar Piecewise Linear Systems. Siam Journal on Applied Dynamical Systems (2012)
  • Jaume Llibre, Enrique Ponce-Nuñez. Three nested limit cycles in discontinuous piecewise linear differential systems with two zones. Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms (2012)
  • Jaume Llibre-Saló, Enrique Ponce-Nuñez, Francisco Javier Ros-Padilla. Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2011)
  • Daniel J. Pagano, Enrique Ponce, Francisco Torres. On Double Boundary Equilibrium Bifurcations in Piecewise Smooth Planar Systems. Qualitative Theory of Dynamical Systems (2011)
  • Enrique Ponce Nuñez, Jaume Llibre Saló, Francisco Torres Peral, Francisco Javier Ros Padilla. On the Fold-Hopf Bifurcation for Continuous Piecewise Linear Differential Systems With Symmetry. Chaos (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)
  • Enrique Ponce Nuñez, Francisco Javier Ros Padilla. On Periodic Orbits of 3d Symmetric Piecewise-Linear Systems With Real Triple Eigenvalues. International Journal of Bifurcation and Chaos (2009)
  • Mario di Bernardo, Daniel Juan Pagano, Enrique Ponce Nuñez. Nonhyperbolic Boundary Equilibrium Bifurcations in Planar Filippov Systems: a Case Study Approach. International Journal of Bifurcation and Chaos (2008)
  • Jaume Llibre Saló, Enrique Ponce Nuñez, Francisco Torres Peral. On the Existence and Uniqueness of Limit Cycles in Liénard Differential Equations Allowing Discontinuities. Nonlinearity (2008)
  • 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)
  • 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)
  • Jaume Llibre Saló, Enrique Ponce Nuñez, Antonio Teruel Aguilar. Horseshoes Near Homoclinic Orbits for Piecewise Linear Differential Systems in R3. International Journal of Bifurcation and Chaos (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)

Libros y capítulos (10)

  • Ponce, E., Ros, J., Vela, E.. A unified approach to piecewise linear Hopf and hopf-pitchfork bifurcations. Springer New York LLC (2015)
  • Enrique Ponce; Javier Ros; Elisabet Vela. Piecewise linear analogue of Hopfzero bifurcation in an extended BVP oscillator. Springer International Publishing (2014)
  • Vela Felardo, Elísabet, Ponce Nuñez, Enrique, Ros Padilla, Francisco Javier. A Hopf-zero degenerated case in symmetric piecewise linear systems.. Springer (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)
  • Freire Macias, Emilio; Ponce Nuñez, Enrique; Torres Peral, Francisco.. Two Linear Foci Suffice to Get Three Limit Cycles. (2013)
  • Vela Felardo, Elísabet, Ponce Nuñez, Enrique, Ros Padilla, Francisco Javier. The Focus-Center-Limit Cycle Bifurcation in Discontinuous Planar Piecewise Linear Systems without Sliding. Springer (2013)
  • Carmona Centeno, Victoriano; Ponce Núñez, Enrique; Freire Macias, Emilio; Torres Peral, Francisco. Stability Issues in Continuous Piecewise Linear Systems. (2010)
  • Ponce Nuñez, Enrique; Torres Peral Francisco. New Limit Cycle Bifurcation in Three Dimensional PWL Systems. (2009)
  • LLibre Salo, Jaume; Ponce Nuñez, Enrique; Torres Peral; Francisco. Dos Bifurcaciones de Ciclos Límite en sistemas lineales a trozos en R3. (2009)
  • LLibre Salo, Jaume; Ponce Nuñez, Enrique; Torres Peral; Francisco. Existencia y Unicidad de Soluciones periódicas para una Ecuación de Liénard discontinua lineal a trozos. (2007)

Aportaciones a congresos (24)

  • Ponce, E., Benadero, L., El Aroudi, A., Martínez-Salamero, L.. Sliding bifurcations in resonant inverters. (2017)
  • 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. A General Mechanism to Generate Three Limit Cycles in Planar Filippov Systems with two zones. VI Workshop on Dynamical Systems (2014)
  • Ponce-Nuñez, Enrique. La red temática DANCE. Encuentro de Redes Tematicas. Jornadas de Algebra no Conmutativa (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, Enrique. Exploiting the features of a linear boundary focus in getting limit cycles. Barcelona Mathematical Days (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. Bifurcaciones que generan ciclos límite en sistemas continuos lineales a trozos. Tercer Encuentro Conjunto de la Real Sociedad Matemática Española y de la Sociedad Matemáticas Mexicana (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)
  • Ponce, Enrique. Some bifurcations leading to limit cycles in piecewise smooth systems. International Conference on Applied Mathematics and Informatics (2013)
  • Ponce Nuñez, Enrique. Three limit cycles in bi-linear systems. XXIII CEDYA/ XIII CMA (2013)
  • Ponce-Nuñez, Enrique; Ros-Padilla, Francisco Javier; Vela-Felardo, Elísabet. Una familia de osciladores nodales de referencia. No Lineal 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)
  • Vela-Felardo, Elísabet; Ponce-Nuñez, Enrique; Ros-Padilla, Francisco Javier. A bifurcation leading to limit cycles in discontinuous planar piecewise linear systems without sliding. 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)
  • Vela-Felardo, Elísabet; Ponce-Nuñez, Enrique; Ros-Padilla, Francisco Javier. Focus-Center-Limit cycle bifurcation in discontinuous planar piecewise linear systems without sliding. The 9th AIMS Conference on Dynamical Systems, Differential Equations and Applications (2012)
  • Ponce-Nuñez, Enrique; Ros-Padilla, Francisco Javier; Vela-Felardo, Elísabet. Órbitas periódicas algebraicamente computables en un sistema plano lineal a trozos con autovalores reales. IV Jornadas Colombinas en Sistemas Dinámicos (2011)
  • 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)
  • Vela-Felardo, Elísabet; Ponce-Nuñez, Enrique. Piecewise linear planar oscillators, whose oscillation can be algebraically determined. Encuentro nacional jóvenes investigadores en matemáticas (I) (2010)
  • Ponce Nuñez, Enrique; Ros Padilla, Francisco Javier; Torres Peral; Francisco. A particular case of Fold-Hopf Bifurcation in Non-Smooth Systems. XI Conference Stability and Oscillations of Nonlinear Control Systems (2010)
  • LLibre Salo, Jaume; Ponce Nuñez, Enrique; Torres Peral; Francisco. Dos Bifurcaciones de Ciclos Límite en sistemas lineales a trozos en R3. XXI CEDYA/ XI CMA (2009)
  • Ponce Nuñez, Enrique; Torres Peral Francisco. New Limit Cycle Bifurcation in Three Dimensional PWL Systems. Trends in Bifurcation Analysis: Methods and Applications (2009)
  • LLibre Salo, Jaume; Ponce Nuñez, Enrique; Torres Peral; Francisco. Existencia y Unicidad de Soluciones periódicas para una Ecuación de Liénard discontinua lineal a trozos. XX CEDYA/X CMA (2007)

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Listado de Artículos (34)
The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators Ponce, E., Ros, J., Vela, E., Nonlinear Analysis. Real World Applications 2018 - 0
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 multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators Ponce, E., Amador, A., Ros, J., Nonlinear Dynamics 2018 - 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
Unravelling the dynamical richness of 3D canonical memristor oscillators Ponce, E., Ros, J., Freire, E., Amador, A., Microelectronic Engineering 2017 - 0
Limit cycle bifurcations in resonant LC power inverters under zero current switching strategy Benadero, L., Ponce, E., El Aroudi, A., Torres, F., Nonlinear Dynamics 2017 - 0
Analysis of coexisting solutions and control of their bifurcations in a parallel LC resonant inverter Benadero, L., Ponce, E., El Aroudi, A., Martinez-Salamero, L., Proceedings - IEEE International Symposium on Circuits and Systems 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
Canards, folded nodes, and mixed-mode oscillations in piecewise-linear slow-fast systems Desroches, M., Guillamon, A., Ponce, E., Prohens, R., Rodrigues, S., Teruel, A.E., SIAM Review 2016 - 0
Bifurcation analysis of a DC-DC bidirectional power converter operating with constant power loads Cristiano, R, Pagano, D.J., Benadero, L, Ponce, E., International Journal of Bifurcation and Chaos 2016 - 1
Limit cycle and boundary equilibrium bifurcations in continuous planar piecewise linear systems Ponce, E., Ros, J., Vela, E., International Journal of Bifurcation and Chaos 2015 - 1
On the critical crossing cycle bifurcation in planar Filippov systems Freire, Emilio, Ponce, Enrique, Torres, Francisco, Journal of Differential Equations 2015 - 1
Nonlinear Analysis of Interconnected Power Converters: A Case Study Luis Benadero, Rony Cristiano, Daniel J. Pagano, Enrique Ponce, IEEE Journal on Emerging and Selected Topics in Circuits and Systems 2015 - 1
Uniqueness and Non-uniqueness of Limit Cycles for Piecewise Linear Differential Systems with Three Zones and No Symmetry Llibre, J., Ponce, E., Valls, C., Journal of Nonlinear Science 2015 - 1
A simple solution to the Braga-Mello conjecture Novaes, D.D., Ponce, E., International Journal of Bifurcation and Chaos 2015 - 3
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
Algebraically Computable Piecewise Linear Nodal Oscillators Enrique Ponce-Nuñez, Francisco Javier Ros-Padilla, Elísabet Vela-Felardo, APPLIED MATHEMATICS AND COMPUTATION 2013 - 0
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry. Llibre, Jaume, Ordóñez, Manuel, Ponce, Enrique, NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 2013 - 7
Unfolding the fold-Hopf bifurcation in piecewise linear continuous differential systems with symmetry Ponce-Nuñez, Enrique, Ros-Padilla, Francisco Javier, Vela-Felardo, Elísabet, PHYSICA D-NONLINEAR PHENOMENA 2013 - 2
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
Three nested limit cycles in discontinuous piecewise linear differential systems with two zones Jaume Llibre, Enrique Ponce-Nuñez, Dynamics of Continuous, Discrete & Impulsive Systems. Series B. Applications & Algorithms 2012 - 12
Algebraic determination of limit cycles in a family of three-dimensional piecewise linear differential systems Jaume Llibre-Saló, Enrique Ponce-Nuñez, Francisco Javier Ros-Padilla, NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 2011 - 4
On Double Boundary Equilibrium Bifurcations in Piecewise Smooth Planar Systems Daniel J. Pagano, Enrique Ponce, Francisco Torres, Qualitative Theory of Dynamical Systems 2011 - 3
On the Fold-Hopf Bifurcation for Continuous Piecewise Linear Differential Systems With Symmetry Enrique Ponce Nuñez, Jaume Llibre Saló, Francisco Torres Peral, Francisco Javier Ros Padilla, Chaos 2010 - 2
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
On Periodic Orbits of 3d Symmetric Piecewise-Linear Systems With Real Triple Eigenvalues Enrique Ponce Nuñez, Francisco Javier Ros Padilla, International Journal of Bifurcation and Chaos 2009 - 0
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
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
Nonhyperbolic Boundary Equilibrium Bifurcations in Planar Filippov Systems: a Case Study Approach Mario di Bernardo, Daniel Juan Pagano, Enrique Ponce Nuñez, International Journal of Bifurcation and Chaos 2008 - 0
On the Existence and Uniqueness of Limit Cycles in Liénard Differential Equations Allowing Discontinuities Jaume Llibre Saló, Enrique Ponce Nuñez, Francisco Torres Peral, Nonlinearity 2008 - 12
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
Horseshoes Near Homoclinic Orbits for Piecewise Linear Differential Systems in R3 Jaume Llibre Saló, Enrique Ponce Nuñez, Antonio Teruel Aguilar, International Journal of Bifurcation and Chaos 2007 - 0


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Tesis dirigidas en el Programa de Doctorado en Matemáticas (3)

Elísabet Vela Felardo Sistemas diferenciales lineales a trozos: ciclos límite y análisis de bifurcaciones
Marina Esteban Pérez Dynamics and Bifurcations in Nonlinear Systems with Hysteresis
Andrés Felipe Amador Rodríguez Contribuciones al Análisis de los Sistemas Lineales a Trozos