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Listar Artículos (Matemática Aplicada II) por autor "Carmona Centeno, Victoriano"
Mostrando ítems 1-12 de 12
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Artículo
A new simple proof for Lum–Chua's conjecture
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; Novaes, Douglas D. (Elsevier, 2021-05)The already proved Lum–Chua’s conjecture says that a continuous planar piecewise linear differential system with two zones ...
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A Succinct Characterization of Period Annuli in Planar Piecewise Linear Differential Systems with a Straight Line of Nonsmoothness
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; Novaes, Douglas D. (Springer, 2023-07)We close the problem of the existence of crossing period annuli in planar piecewise linear differential systems with a ...
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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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Birth, transition and maturation of canard cycles in a piecewise linear system with a flat slow manifold
Carmona Centeno, Victoriano; Fernández García, Soledad; Teruel, Antonio E. (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 ...
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Existence of a Reversible T-Point Heteroclinic Cycle in a Piecewise Linear Version of the Michelson System
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; Teruel Aguilar, Antonio Esteban (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 ...
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Existence of homoclinic connections in continuous piecewise linear systems
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; García Medina, Elisabeth; Teruel Aguilar, Antonio Esteban (American Institute of Physics, 2010-03)Numerical methods are often used to put in evidence the existence of global connections in differential systems. The ...
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Integral characterization for Poincaré half-maps in planar linear systems
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando (Elsevier, 2021-12)The intrinsic nature of a problem usually suggests a first suitable method to deal with it. Unfortunately, the apparent ...
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Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; García Medina, Elisabeth (University of Szeged, 2023)This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. ...
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Saddle-node canard cycles in slow-fast planar piecewise linear differential systems
Carmona Centeno, Victoriano; Fernández García, Soledad; Teruel Aguilar, Antonio Esteban (Elsevier, 2024-05)By applying a singular perturbation approach, canard explosions exhibited by a general family of singularly perturbed ...
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Saddle-node of limit cycles in planar piecewise linear systems and applications
Carmona Centeno, Victoriano; Fernández García, Soledad; Teruel, Antonio E. (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 ...
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Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; Novaes, Douglas D. (Elsevier, 2023-03)The existence of a uniform upper bound for the maximum number of limit cycles of planar piecewise linear differential ...
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Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region
Carmona Centeno, Victoriano; Fernández Sánchez, Fernando; Novaes, Douglas D. (Elsevier, 2023)In this paper, we consider the family of planar piecewise linear differential systems with two zones separated by a ...