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Phase portraits of Abel quadratic differential systems of the second kind
(Taylor & Francis, 2018)
We provide normal forms and the global phase portraits on the Poincaré
disk of some Abel quadratic differential equations of the second kind. Moreover, we also
provide the bifurcation diagrams for these global phase portraits.
A Unifying Framework for Perturbative Exponential Factorizations
(MDPI, 2021-03-17)
We propose a framework where Fer and Wilcox expansions for the solution of differential
equations are derived from two particular choices for the initial transformation that seeds the product
expansion. In this scheme, ...
On Multi-Index Filtrations Associated to Weierstraß Semigroups
(Springer, Cham, 2020-05-14)
This paper is a survey on the main techniques involved in the computation of the Weierstraß semigroup at several points of curves defined over perfect fields, with special emphasis on the case of two points. Some hints ...
Runge–Kutta–Nyström symplectic splitting methods of order 8
(Elsevier, 2022-12)
Different families of Runge–Kutta–Nyström (RKN) symplectic splitting methods of order 8 are presented for second-order systems of ordinary differential equations and are tested on numerical examples. They show a better ...
Splitting and composition methods with embedded error estimators
(Elsevier, 2019-12)
We propose new local error estimators for splitting and composition methods. They are based on the construction of lower order schemes obtained at each step as a linear combination of the intermediate stages of the integrator, ...
Hölder regularity for the Moore-Gibson-Thompson equation with infinite delay
(American Institute of Mathematical Sciences (AIMS), 2018-01)
We characterize the well-posedness of a third order in time equation with infinite delay in Holder spaces, solely in terms of spectral properties concerning the data of the problem. Our analysis includes the case of the ...
[S]-linear and convex structures in function families
(Elsevier, 2019)
In this paper, the notion of [S]-lineability (originally coined
by Vladimir I. Gurariy) is introduced and developed in a general abstract
setting. This new notion is, then, applied to specific situations, as for
instance, ...
Generalized Linear Models for Geometrical Current predictors. An application to predict garment fit
(SAGE Publications, 2019)
The aim of this paper is to model an ordinal response variable in terms
of vector-valued functional data included on a vector-valued RKHS. In particular,
we focus on the vector-valued RKHS obtained when a geometrical ...
Sensitive dependence for nonautonomous discrete dynamical systems
(Elsevier, 2018-03)
Given a nonautonomous discrete dynamical system (NDS) we show that transitivity and density of periodic points do not imply sensitivity in general, i.e., in the definition of Devaney chaos there are no redundant conditions ...
A general formula for the Magnus expansion in terms of iterated integrals of right-nested commutators
(IOP, 2018-03)
We present a general expression for any term of the Magnus series as an iterated integral of a linear combination of independent right-nested commutators with given coefficients. The relation with the Malvenuto–Reutenauer ...