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Mostrando ítems 1-10 de 11
Artículo
A multiple focus-center-cycle bifurcation in 4D discontinuous piecewise linear memristor oscillators
(Springer, 2018-12)
The dynamical richness of 4D memristor oscillators has been recently studied in several works, showing different regimes, from stable oscillations to chaos. Typically, only numerical simulations have been reported and so ...
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
Hopf bifurcation at infinity in 3D symmetric piecewise linear systems. Application to a Bonhoeffer–van der Pol oscillator
(Elsevier, 2020-08)
In this work, a Hopf bifurcation at infinity in three-dimensional symmetric continuous piecewise linear systems with three zones is analyzed. By adapting the so-called closing equations method, which constitutes a suitable ...
Ponencia
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 un circuito en puente de Wien polarizado de forma asimétrica modelado mediante funciones lineales a ...
Artículo
Hopf bifurcation at infinity in 3D Relay systems
(Elsevier, 2023-02)
A complete analysis of the limit cycle bifurcation from infinity in 3D Relay systems, which belong to the class of three-dimensional symmetric discontinuous piecewise linear systems with two zones, is presented. A criticality ...
Tesis Doctoral
Sistemas diferenciales lineales a trozos: Ciclos límite y análisis de bifurcaciones
(2013-07-18)
The class of piecewise-linear differential systems (PWL systems, for short) is an important class of nonlinear dynamical systems. They naturally appear in realistic nonlinear engineering models, and are used in mathematical ...
Artículo
The Focus-Center-Limit Cycle Bifurcation in Symmetric 3D Piecewise Linear Systems
(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 is considered. A technique already used by the authors in planar systems is extended to cope ...
Artículo
The boundary focus–saddle bifurcation in planar piecewise linear systems. Application to the analysis of memristor oscillators
(Elsevier, 2018-10)
Among the boundary equilibrium bifurcations in planar continuous piecewise linear systems with two zones separated by a straight line, the focus–saddle bifurcation corresponds with a one-parameter transition from a situation ...
Tesis Doctoral
Tesis Doctoral
Algunas contribuciones al análisis de sistemas lineales a trozos.
(2018)
This thesis consists of two parts, with contributions to the analysis of dynamical systems in continuous time and in discrete time, respectively. In the first part, we study several models of memristor oscillators of ...