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Mostrando ítems 1-10 de 19
Artículo
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 line without sliding regions, that is, differential systems whose flow transversally crosses ...
Tesis Doctoral
Ponencia
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 distinguish two cases: the subcritical and the supercritical. In the subcritical case, we find ...
Artículo
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 ease of application of these initial approaches may make their possible flaws seem to be inherent to ...
Artículo
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. Concretely, we focus on the analyticity of the Poincaré half-maps, their series expansions (Taylor ...
Artículo
Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
(Elsevier, 2023-03)
The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line has been subject of interest of hundreds of papers. ...
Artículo
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 straight line of nonsmoothness. In fact, a characterization for the existence of such objects is provided ...
Artículo
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 numerical techniques to show this existence, even in the case of continuous piecewise linear systems. ...
Artículo
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 a trozos, dada la relevancia que estas variedades invariantes tienen en la determinación de la ...
Artículo
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 Pol equation having a flat critical manifold. The proposed analysis involves the identification of ...