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Listar Artículos (Matemática Aplicada II) por autor "Ponce Núñez, Enrique"
Mostrando ítems 1-18 de 18
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Artículo
A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators
Ponce Núñez, Enrique; Amador, Andrés; Ros Padilla, Francisco Javier (Springer, 2018-12)The dynamical richness of 4D memristor oscillators has been recently studied in several works, showing different regimes, ...
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Artículo
Bifurcación Silla-Nodo de Conos Invariantes en sistemas lineales a trozos Vía Bifurcación Foco-Centro-Ciclo Límite
Carmona Centeno, Victoriano; Freire Macías, Emilio; Ponce Núñez, Enrique; Ros Padilla, Francisco Javier (Sema, 2008)En este trabajo se considera la existencia de conos invariantes en sistemas dinámicos continuos tridimensionales lineales ...
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Artículo
Bifurcation set for a disregarded Bogdanov-Takens unfolding: Application to 3D cubic memristor oscillators
Amador, Andrés; Freire Macías, Emilio; Ponce Núñez, Enrique (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 ...
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Artículo
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
Freire Macías, Emilio; Ordóñez Sánchez, Manuel; Ponce Núñez, Enrique (Elsevier, 2020-01)We consider continuous piecewise linear systems in R3 with two zones under the assumption of having a linear center in the ...
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Artículo
Canards, Folded Nodes, and Mixed-Mode Oscillations in Piecewise-Linear Slow-Fast Systems
Desroches, Mathieu; Guillamon, Antoni; Ponce Núñez, Enrique; Prohens, Rafael; Rodrigues, Serafim; Teruel Aguilar, Antonio Esteban (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 ...
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Artículo
Canonical Discontinuous Planar Piecewise Linear Systems
Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (Society of Industrial and Applied Mathematics, 2012)The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity ...
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Artículo
Hopf bifurcation at infinity in 3D Relay systems
Freire Macías, Emilio; Ponce Núñez, Enrique; Ros Padilla, Francisco Javier; Vela Felardo, Elisabet (Elsevier, 2023-02)A complete analysis of the limit cycle bifurcation from infinity in 3D Relay systems, which belong to the class of ...
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Artículo
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
Freire Macías, Emilio; Ponce Núñez, Enrique; Ros Padilla, Francisco Javier; Vela Felardo, Elisabet; Amador, A. (Elsevier, 2020-08)In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three ...
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Artículo
Hopf bifurcation from infinity for planar control systems
Llibre Saló, Jaume; Ponce Núñez, Enrique (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 ...
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Artículo
Hopf-Like Bifurcations in Planar Piecewise Linear Systems
Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (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.
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Artículo
Limit cycles from a monodromic infinity in planar piecewise linear systems
Freire Macías, Emilio; Ponce Núñez, Enrique; Torregrosa, Joan; Torres Peral, Francisco (Elsevier, 2021-04-15)Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity ...
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Artículo
Non-hyperbolic boundary equilibrium bifurcations in planar Filippov systems: a case study approach
Di Bernardo, Mario; Pagano, Daniel Juan; Ponce Núñez, Enrique (WorldScientific Open Access, 2008)Boundary equilibrium bifurcations in piecewise smooth discontinuous systems are characterized by the collision of an ...
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Artículo
On the existence and uniqueness of limit cycles in Liénard differential equations allowing discontinuities
Llibre Saló, Jaume; Ponce Núñez, Enrique; Torres Peral, Francisco (IOP Science, 2008)In this paper we study the non-existence and the uniqueness of limit cycles for the Liénard differential equation of the ...
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Artículo
On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
Llibre Saló, Jaume; Ordóñez Cabrera, Manuel Hilario; Ponce Núñez, Enrique (Elsevier, 2013-10)Some techniques to show the existence and uniqueness of limit cycles, typically stated for smooth vector fields, are ...
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Artículo
Stabilization of oscillations through backstepping in high-dimensional systems
Aracil Santonja, Javier; Gordillo Álvarez, Francisco; Ponce Núñez, Enrique (2005-05)This paper introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input ...
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Artículo
The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators
Ponce Núñez, Enrique; Ros Padilla, Francisco Javier; Vela Felardo, Elisabet (Elsevier, 2018-10)Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems with two zones separated by a ...
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Artículo
The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
Freire Macías, Emilio; Ponce Núñez, Enrique; Torres Peral, Francisco (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 ...
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Artículo
The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
Freire Macías, Emilio; Ponce Núñez, Enrique; Ros Padilla, Francisco Javier (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 ...