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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
Semigroups of composition operators on Hardy spaces of Dirichlet series
(Elsevier, 2023)
We consider continuous semigroups of analytic functions {Φt}t≥0 in the so-called Gordon-Hedenmalm class G, that is, the family of analytic functions Φ:C+→C+ giving rise to bounded composition operators in the Hardy space ...
Artículo
Average radial integrability spaces, tent spaces and integration operators
(Elsevier, 2023-07-15)
We deal with a Carleson measure type problem for the tent spaces ATpq(α) in the unit disc of the complex plane. They consist of the analytic functions of the tent spaces Tpq(α) introduced by Coifman, Meyer and Stein. Well ...
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
Mixed norm spaces and RM(p, q) spaces
(Springer, 2023)
In this paper we present the containment relationship between the spaces of analytic functions with average radial integrability RM(p, q) and a family of mixed norm spaces.
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
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
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 ...