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Mostrando ítems 11-20 de 33
Artículo
Hopf-Like Bifurcations in Planar Piecewise Linear Systems
(Universitat Autònoma de Barcelona, Servei de Publicacions, 1997)
Continuous planar piecewise linear systems with two linear zones are considered. Due to their low differentiability specific techniques of analysis must be developed. Several bifurcations giving rise to limit cycles are ...
Artículo
Canonical Discontinuous Planar Piecewise Linear Systems
(Society of Industrial and Applied Mathematics, 2012)
The family of Filippov systems constituted by planar discontinuous piecewise linear systems with two half-plane linearity zones is considered. Under generic conditions that amount to the boundedness of the sliding set, ...
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
Continuation of Gerver's supereight choreography
(Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 2006)
In [6] we developed a continuation technique for periodic orbits in reversible systems having some first integrals and corresponding symmetries. One of the applications was the continuation of Gerver’s supereight choreography ...
Artículo
On the Takens-Bogdanov Bifurcation in the Chua’s Equation
(Institute of Electronics, Information and Communication Engineers, 1999)
The analysis of the Takens-Bogdanov bifurcation of the equilibrium at the origin in the Chua’s equation with a cubic nonlinearity is carried out. The local analysis provides, in first approximation, different bifurcation ...
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
Families of symmetric periodic orbits in the three body problem and the figure eight
(Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, 2004)
In this paper we show a technique for the continuation of symmetric periodic orbits in systems with time-reversal symmetries. The geometric idea of this technique allows us to generalize the “cylinder” theorem for this ...
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 ...