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Now showing items 11-18 of 18
Article
Bifurcation set for a disregarded Bogdanov-Takens unfolding: Application to 3D cubic memristor oscillators
(Springer Science and Business Media B.V., 2021)
Motivated by the dynamical analysis of certain memristor-based oscillators, in this paper we derive the bifurcation set for a three-parametric Bogdanov-Takens unfolding that has not been previously considered in the ...
Article
Limit cycles from a monodromic infinity in planar piecewise linear systems
(Elsevier, 2021-04-15)
Planar piecewise linear systems with two linearity zones separated by a straight line and with a periodic orbit at infinity are considered. By using some changes of variables and parameters, a reduced canonical form with ...
Article
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 ...
Article
Bifurcations from a center at infinity in 3D piecewise linear systems with two zones
(Elsevier, 2020-01)
We consider continuous piecewise linear systems in R3 with two zones under the assumption of having a linear center in the invariant manifold of the point at infinity. A specific conic projection is introduced, so that it ...
Article
The discontinuous matching of two planar linear foci can have three nested crossing limit cycles
(Universitat Autònoma de Barcelona, Servei de Publicacions, 2014)
The existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type and having only one equilibrium point is considered. By using an adequate ...
Article
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 ...
Article
Hopf bifurcation from infinity for planar control systems
(Universidad Autónoma de Barcelona. Departamento de Matemáticas, 1997)
Symmetric piecewise linear bi-dimensional systems are very common in control engineering. They constitute a class of non-differentiable vector fields for which classical Hopf bifurcation theorems are not applicable. For ...
Article
Stabilization of oscillations through backstepping in high-dimensional systems
(2005-05)
This paper introduces a method for obtaining stable and robust self-sustained oscillations in a class of single input nonlinear systems of dimension n ≥ 2. The oscillations are associated to a limit cycle that is produced ...