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Artículo
Analytical and numerical stability analysis of a toroidal wheel with nonholonomic constraints
(Springer, 2024-02)
In this paper, a detailed and comprehensive linear stability analysis of a rolling toroidal wheel is performed. The wheel is modeled as a rigid toroid-shaped body rolling without slipping on a horizontal surface. The ...
Artículo
The dependent coordinates in the linearization of constrained multibody systems: Handling and elimination
(Elsevier, 2024-04-15)
In this paper, the handling of the dependent coordinates in the linearization of constrained multibody systems is clarified. To this end, a brief but comprehensive overview of linearization approaches used in the field of ...
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 ...
Artículo
An efficient and accurate linearization approach for hydraulically actuated multibody systems with holonomic and nonholonomic constraints
(Springer, 2023-03)
Hydraulics is often used to actuate mechanisms in the applications of heavy machinery. In this work, a linearization approach for hydraulically driven multibody systems is presented. The approach allows linearizing the ...
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 ...
Artículo
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 ...
Artículo
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 ...
Artículo
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 ...