Author profile: Carmona Centeno, Victoriano
Institutional data
| Name | Carmona Centeno, Victoriano |
| Department | Matemática Aplicada II |
| Knowledge area | Matemática Aplicada |
| Professional category | Profesor Titular de Universidad |
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Statistics
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No. publications
22
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No. visits
2511
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No. downloads
4028
| Publications |
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Article
 Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
(Elsevier, 2024)
By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed ... |
Final Degree Project
La caracterización integral de las semiaplicaciones de Poincaré y su aplicación a circuitos electrónicos: El Memristor
(2023)
La aplicación de herramientas matemáticas en el análisis de circuitos eléctricos y electrónicos ha sido esencial a lo largo ... |
Final Degree Project
Circuito de chua lineal a trozos: órbitas homoclinas y comportamiento caótico
(2023)
Este trabajo se centra en el estudio de un sistema dinámico específico, el circuito de Chua lineal a trozos. En los ... |
Article
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness
(Springer, 2023)
We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a ... |
Article
 Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
(Elsevier, 2023)
The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differential ... |
Article
Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region
(Elsevier, 2023)
In this paper, we consider the family of planar piecewise linear differential systems with two zones separated by a straight ... |
Article
Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems
(University of Szeged, 2023)
This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. ... |
Article
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
(Elsevier, 2023)
In this work we deal with the canard regime as a part of a canard explosion taking place in a PWL version of the van der ... |
Article
Integral characterization for Poincaré half-maps in planar linear systems
(Elsevier, 2021)
The intrinsic nature of a problem usually suggests a first suitable method to deal with it. Unfortunately, the apparent ... |
Presentation
Saddle-node bifurcation of canard limit cycles in piecewise linear systems
(Servicio de Publicaciones de la Universidad de Oviedo, 2021)
We study saddle-node bifurcations of canard limit cycles in PWL systems by using singular perturbation theory tools. We ... |
Article
A new simple proof for Lum–Chua's conjecture
(Elsevier, 2021)
The already proved Lum–Chua’s conjecture says that a continuous planar piecewise linear differential system with two zones ... |
Article
Saddle-node of limit cycles in planar piecewise linear systems and applications
(American Institute of Mathematical Sciences (AIMS), 2019)
In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems ... |
Book
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics
(NoLineal 2016Juan F.R. Archilla, 2016)
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PhD Thesis
 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 ... |
PhD Thesis
Conexiones globales y comportamientos periódicos en sistemas dinámicos lineales a trozos
(2011)
El objetivo primordial que nos planteamos en esta tesis es utilizar las particularidades de los sistemas lineales a trozos ... |
Article
Existence of homoclinic connections in continuous piecewise linear systems
(American Institute of Physics, 2010)
Numerical methods are often used to put in evidence the existence of global connections in differential systems. The ... |
Article
Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
(Society for Industrial and Applied Mathematics, 2008)
The proof of the existence of a global connection in differential systems is generally a difficult task. Some authors use ... |
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 ... |
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 ... |
Presentation
Conexiones globales en sistemas tridimensionales lineales a trozos
(2007)
Presentamos en esta comunicación una técnica para probar de forma analítica la existencia de conexiones globales en sistemas ... |
| Career Final Project |
| PhD Thesis |