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Artículo
Uniqueness and stability of limit cycles in planar piecewise linear differential systems without sliding region
(Elsevier, 2023)
In this paper, we consider the family of planar piecewise linear differential systems with two zones separated by a straight line without sliding regions, that is, differential systems whose flow transversally crosses ...
Artículo
Marginality and convexity in partition function form games
(Springer Nature, 2021-08)
In this paper an order on the set of embedded coalitions is studied in detail. This allows us to define new notions of superaddivity and convexity of games in partition function form which are compared to other proposals ...
Artículo
Properties of Poincaré half-maps for planar linear systems and some direct applications to periodic orbits of piecewise systems
(University of Szeged, 2023)
This paper deals with fundamental properties of Poincaré half-maps defined on a straight line for planar linear systems. Concretely, we focus on the analyticity of the Poincaré half-maps, their series expansions (Taylor ...
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
Second order error bounds for POD-ROM methods based on first order divided differences
(Elsevier, 2023)
This note proves for the heat equation that using BDF2 as time stepping scheme in POD-ROM methods with snapshots based on difference quotients gives both the optimal second order error bound in time and pointwise estimates.
Artículo
Uniform in Time Error Estimates for a Finite Element Method Applied to a Downscaling Data Assimilation Algorithm for the Navier--Stokes Equations
(Society for Industrial and Applied Mathematics Publications (SIAM), 2020)
In this paper we analyze a finite element method applied to a continuous downscal-ing data assimilation algorithm for the numerical approximation of the two- and three-dimensionalNavier–Stokes equations corresponding to ...
Artículo
Double-zero degeneracy and heteroclinic cycles in a perturbation of the Lorenz system
(Elsevier, 2022-08)
In this paper we consider a 3D three-parameter unfolding close to the normal form of the triple-zero bifurcation exhibited by the Lorenz system. First we study analytically the double-zero degeneracy (a double-zero eigenvalue ...
Artículo
The 16th Hilbert problem for discontinuous piecewise isochronous centers of degree one or two separated by a straight line
(American Institute of Physics AIP, 2021)
In this paper, we deal with discontinuous piecewise differential systems formed by two differential systems separated by a straight line when these two differential systems are linear centers (which always are isochronous) ...
Artículo
On the convergence order of the finite element error in the kinetic energy for high Reynolds number incompressible flows
(Elsevier, 2021-11)
The kinetic energy of a flow is proportional to the square of the L2(Ω) norm of the velocity. Given a sufficient regular velocity field and a velocity finite element space with polynomials of degree r , then the best ...