Browsing by Author "Carmona Centeno, Victoriano"
Now showing items 1-20 of 22
-
Article
A new simple proof for Lum–Chua's conjecture
(Elsevier, 2021-05)The already proved Lum–Chua’s conjecture says that a continuous planar piecewise linear differential system with two zones ...
-
Article
A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness
(Springer, 2023-07)We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a ...
-
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
-
Presentation
Una bifurcación global de órbitas periódicas en sistemas dinámicos a trozos
(2007-09)Presentamos en esta comunicación, en primer lugar, un mecanismo para explicar la aparición de un ciclo límite bizonal en ...
-
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
Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
(Elsevier, 2023-01)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 ...
-
Book
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics
(NoLineal 2016Juan F.R. Archilla, 2016-06-07) -
Final Degree Project
La caracterización integral de las semiaplicaciones de Poincaré y su aplicación a circuitos electrónicos: El Memristor
(2023-12)La aplicación de herramientas matemáticas en el análisis de circuitos eléctricos y electrónicos ha sido esencial a lo ...
-
Final Degree Project
Circuito de chua lineal a trozos: órbitas homoclinas y comportamiento caótico
(2023-11)Este trabajo se centra en el estudio de un sistema dinámico específico, el circuito de Chua lineal a trozos. En los ...
-
Presentation
Conexiones globales en sistemas tridimensionales lineales a trozos
(2007-09)Presentamos en esta comunicación una técnica para probar de forma analítica la existencia de conexiones globales en sistemas ...
-
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 ...
- Career Final Project
-
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
Existence of homoclinic connections in continuous piecewise linear systems
(American Institute of Physics, 2010-03)Numerical methods are often used to put in evidence the existence of global connections in differential systems. The ...
-
Article
Integral characterization for Poincaré half-maps in planar linear systems
(Elsevier, 2021-12)The intrinsic nature of a problem usually suggests a first suitable method to deal with it. Unfortunately, the apparent ...
-
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. ...
-
Presentation
Saddle-node bifurcation of canard limit cycles in piecewise linear systems
(Servicio de Publicaciones de la Universidad de Oviedo, 2021-06)We study saddle-node bifurcations of canard limit cycles in PWL systems by using singular perturbation theory tools. We ...
-
Article
Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
(Elsevier, 2024-05)By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed ...
-
Article
Saddle-node of limit cycles in planar piecewise linear systems and applications
(American Institute of Mathematical Sciences (AIMS), 2019-05)In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems ...