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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
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
Phase diagram of the two-fluid Lipkin model: A "butterfly" catastrophe
(American Physical Society, 2016-03-31)
Background: In the past few decades quantum phase transitions have been of great interest in nuclear physics. In this context, two-fluid algebraic models are ideal systems to study how the concept of quantum phase transition ...
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 ...