Author profile: Ponce Núñez, Enrique
Institutional data
| Name | Ponce Núñez, Enrique |
| Department | Matemática Aplicada II |
| Knowledge area | Matemática Aplicada |
| Professional category | Catedrático de Universidad |
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Statistics
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No. publications
32
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No. visits
5695
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No. downloads
6656
| Publications |
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Final Degree Project
 Estudio de la bifurcación pseudo-Hopf en sistemas planos tipo relé
(2024)
En este proyecto se considera una familia de sistemas planos discontinuos en forma canónica. El objetivo es determinar los ... |
Article
 Hopf bifurcation at infinity in 3D Relay systems
(Elsevier, 2023)
A complete analysis of the limit cycle bifurcation from infinity in 3D Relay systems, which belong to the class of ... |
Book
Bifurcations in Continuous Piecewise Linear Differential Systems : Applications to Low-Dimensional Electronic Oscillators
(Springer Nature, 2022)
The book is devoted to the qualitative study of differential equations defined by piecewise linear (PWL) vector fields, ... |
Article
Limit cycles from a monodromic infinity in planar piecewise linear systems
(Elsevier, 2021)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity ... |
Article
Bifurcation set for a disregarded Bogdanov-Takens unfolding: Application to 3D cubic memristor oscillators
(Springer Science and Business Media B.V., 2021)
Motivated by the dynamical analysis of certain memristor-based oscillators, in this paper we derive the bifurcation set ... |
Article
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
(Elsevier, 2020)
In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three ... |
Article
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
(Elsevier, 2020)
We consider continuous piecewise linear systems in R3 with two zones under the assumption of having a linear center in the ... |
PhD Thesis
Dynamics and bifurcations in nonlinear systems with hysteresis.
(2019)
The main objective of this thesis is to determine periodic solutions and possible bifurcations in a family of dynamical ... |
Article
A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators
(Springer, 2018)
The dynamical richness of 4D memristor oscillators has been recently studied in several works, showing different regimes, ... |
Article
The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators
(Elsevier, 2018)
Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems with two zones separated by a ... |
Presentation
Delay effects on the limit cycling behavior in an H-bridge resonant inverter with zero current switching control strategy
(2018)
In this paper, bifurcations of limit cycles in a H-bridge LC resonant inverter under a zero current switching control ... |
PhD Thesis
Algunas contribuciones al análisis de sistemas lineales a trozos.
(2018)
This thesis consists of two parts, with contributions to the analysis of dynamical systems in continuous time and in ... |
Final Degree Project
Continuación numérica de soluciones periódicas en sistemas tridimensionales lineales a trozos
(2017)
Este proyecto surge con el interés de estudiar el comportamiento de un sistema dinámico no lineal y poder analizar su ... |
Article
Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
(Society for Industrial and Applied Mathematics, 2016)
Canard-induced phenomena have been extensively studied in the last three decades, from both the mathematical and the ... |
Article
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 ... |
Article
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
(Elsevier, 2013)
Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are ... |
PhD Thesis
Sistemas diferenciales lineales a trozos: Ciclos límite y análisis de bifurcaciones
(2013)
The class of piecewise-linear differential systems (PWL systems, for short) is an important class of nonlinear dynamical ... |
Article
Canonical Discontinuous Planar Piecewise Linear Systems
(Society of Industrial and Applied Mathematics, 2012)
The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity ... |
Article
Bifurcación Silla-Nodo de Conos Invariantes en sistemas lineales a trozos Vía Bifurcación Foco-Centro-Ciclo Límite
(Sema, 2008)
En este trabajo se considera la existencia de conos invariantes en sistemas dinámicos continuos tridimensionales lineales ... |
Article
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
(IOP Science, 2008)
In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the ... |
Article
Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach
(WorldScientific Open Access, 2008)
Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an ... |
Presentation
Existencia y unicidad de soluciones periódicas para una ecuación de Liénard discontinua lineal a trozos
(2007)
En esta comunicación se establece un resultado de existencia y unicidad de soluciones periódicas en una ecuación de tipo ... |
Presentation
Una bifurcación global de órbitas periódicas en sistemas dinámicos a trozos
(2007)
Presentamos en esta comunicación, en primer lugar, un mecanismo para explicar la aparición de un ciclo límite bizonal en ... |
Article
Stabilization of oscillations through backstepping in high-dimensional systems
(2005)
This paper introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input ... |
Article
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 ... |
| PhD Thesis |
| PhD Thesis |
Article
Hopf-Like Bifurcations in Planar Piecewise Linear Systems
(Universitat Autònoma de Barcelona, Servei de Publicacions, 1997)
Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are pointed out. |
Article
Hopf bifurcation from infinity for planar control systems
(Universidad Autónoma de Barcelona. Departamento de Matemáticas, 1997)
Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of ... |
| PhD Thesis |
| Presentation |
PhD Thesis
Técnicas de análisis cualitativo en sistemas dinámicos. Métodos numéricos y aplicaciones en ingeniería
(1987)
El trabajo realizado se sitúa en la dirección de aumentar las posibilidades de aplicación de los resultados de la teoría ... |